# Nonclassical Problems of Fracture/Failure Mechanics: On the Occasion of the 50th Anniversary of Research (Review). III

The main results of research on some nonclassical problems of fracture/failure mechanics are analyzed. These results have been obtained by the author and his followers at the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (the NAS of Ukraine) during the last 50 years. The nonclassical problems of fracture/failure mechanics are problems to which the approaches and criteria of classical fracture mechanics are not applicable. A distinguishing feature of the results obtained by the author and his followers is application of three-dimensional theories of stability, dynamics, and statics of solid mechanics to study the nonclassical problems of fracture/failure mechanics. The majority of other researchers have been using various approximate theories of shells, plates, and rods as well as other approaches to studying the nonclassical problems of fracture/failure mechanics. The main scientific results of solving the eight nonclassical problems of fracture\failure mechanics obtained in the framework of the above mentioned approach (three-dimensional theories of solid mechanics) have been presented very briefly, with focus on the statement of problems, the analysis of corresponding experiments, the development of methods for their solution within the framework of approach under consideration, and the discussion of final results. The mathematical aspects of the methods for solving the mentioned problems and their computer-aided implementation have not been discussed in this review, with information on this subject briefly presented as annotation. The following eight nonclassical problems of fracture\failure mechanics (results by the author and his followers) are considered in this review:

– first problem is fracture of composites compressed along the reinforcement;

– second problem is short-fiber model in stability and fracture of composites under compression;

– third problem is end-crush fracture of composites under compression along the reinforcement;

– fourth problem is brittle fracture of cracked materials with initial (residual) stresses acting along the cracks;

– fifth problem is shredding fracture of composites stretched or compressed along the reinforcement;

– sixth problem is fracture of materials under compression along parallel cracks;

– seventh problem is brittle fracture of cracked materials under dynamic loads (with contact interaction of the crack faces);

– eighth problem is fracture of thin-walled cracked bodies under tension with prebuckling.

About 523 monographs and papers published by the author and his followers on the eight nonclassical problems of fracture mechanics have been included in the references to this review.

This review consists of three parts. The first part is General Problems; it is published in *Prikladnaya Mekhanika* (55, No. 2, 2019). The second part is Compressive Failure of Composite Materials; it is published in *Prikladnaya Mekhanika* (55, No. 3, 2019). The third part is Other Nonclassical Problems of Fracture/Failure Mechanics; it is published in *Prikladnaya Mekhanika* (55, No. 4, 2019).

## Keywords

nonclassical problems of fracture/failure mechanics research during the last 50 years author and his students S. P. Timoshenko Institute of Mechanics department of dynamics and stability of continuum## Preview

Unable to display preview. Download preview PDF.

## References

- 1.S. D. Akbarov, “Effect of rheologic parameters of the matrix material on the distribution of self-balanced stresses in a multilayer composite with curved structures,”
*Mech. Comp. Mater.*,**22**, No. 4, 421–427 (1987).CrossRefGoogle Scholar - 2.S. D. Akbarov, “Revisiting the mechanics of composites with local curvings in structure,”
*Prikl. Mekh.*,**23**, No. 1, 119–122 (1987).Google Scholar - 3.S. D. Akbarov, “Distribution of self-balanced stresses in a multilayer composite with curved structure,”
*Mat. Met. Fiz.-Mekh. Polya*, No. 26, 83–89 (1987).Google Scholar - 4.S. D. Akbarov and A. N. Guz, “Stressed state in a composite material with curved layers having a low filler concentration,”
*Mech. Comp. Mater.*,**20**, No. 6, 688–993 (1984).CrossRefGoogle Scholar - 5.S. D. Akbarov and A. N. Guz, ”Revisiting the mechanics of composites with curved structure,”
*DAN SSSR*,**281**, No. 1, 37–41 (1985).Google Scholar - 6.S. D. Akbarov and A. N. Guz, “On some effect in the fracture mechanics of composites,”
*DAN SSSR*,**290**, No. 1, 23–26 (1986).Google Scholar - 7.S. D. Akbarov and A. N. Guz, “Stress distribution in multilayered composite material with curved structures (model of a piecewise homogeneous body),”
*Mech. Comp. Mater.*,**23**, No. 4, 396–403 (1988).CrossRefGoogle Scholar - 8.I. Yu. Babich, “Unstable small-strain deformation of composites,”
*Dokl. AN USSR*,*Ser. A*, No. 10, 909–913 (1973).Google Scholar - 9.I. Yu. Babich and A. N. Guz, “Applicability of the Euler approach to the stability analysis of the deformation of anisotropic nonlinear elastic bodies at finite subcritical strains,”
*DAN SSSR*,**202**, No. 4, 795–796 (1972).Google Scholar - 10.I. Yu. Babich and A. N. Guz, “Theory of the elastic stability of compressible and incompressible composite media,”
*Polym. Mech.*,**8**, No. 2, 237–244 (1972).ADSCrossRefGoogle Scholar - 11.I. Yu. Babich and A. N. Guz, “Three-dimensional problem of the stability of a fiber in a matrix subject to hyperelastic deformation,”
*Izv. AN SSSR*, No. 3, 44–48 (1973).Google Scholar - 12.V. L. Bogdanov, “Nonaxisymmetric problem of the fracture of a half-space compressed along a near-surface penny-shaped crack,”
*Dokl. AN USSR*,*Ser. B*, No. 5, 42–47 (1991).Google Scholar - 13.V. L. Bogdanov, “Axisymmetric problem for a near-surface mode I crack in a composite material withy residual stresses,”
*Mat. Met. Fiz.-Mekh. Polya*,**50**, No. 2, 45–54 (2007).zbMATHGoogle Scholar - 14.V. L. Bogdanov, “Nonaxisymmetric problem for a periodic array of penny-shaped mode I cracks in a prestressed body,”
*Mat. Met. Fiz.-Mekh. Polya*,**50**, No. 4, 149–159 (2007).zbMATHGoogle Scholar - 15.V. L. Bogdanov, “Torsion of a prestressed material with two parallel coaxial cracks,”
*Dop. NAN Ukrainy*, No. 11, 59–66 (2008).Google Scholar - 16.V. L. Bogdanov, “Nonaxisymmetric problem for two parallel coaxial mode I cracks in a prestressed material,”
*Dop. NAN Ukrainy*, No. 8, 49–59 (2010).Google Scholar - 17.V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko,
*Unified Approach to Nonclassical Problems of Fracture Mechanics*[in Russian], Lambert Academic Publishing, Saarbrücken/Deutschland (2017).Google Scholar - 18.V. L. Bogdanov and V. M. Nazarenko, “Compression of a composite material along a macrocrack near the surface,”
*Mech. Comp. Mater.*,**30**, No. 3, 251–255 (1994).CrossRefGoogle Scholar - 19.L. A. Galin,
*Contact Problems of Elasticity*[in Russian], Fizmatgiz, Moscow (1953).Google Scholar - 20.I. N. Garashchuk, “Stability of a fiber in a matrix subject to inhomogeneous subcritical deformation,”
*Dokl. AN USSR*,*Ser. A*, No. 8, 24–27 (1983).Google Scholar - 21.A. Ya. Gol’dman, N. F. Savel’eva, and V. I. Smirnov, “Mechanical properties of glass fabric-reinforced plastics in tension and compression normal to the plane of reinforcement,”
*Mech. Comp. Mater.*,**4**, No. 4, 643–648 (1968).Google Scholar - 22.A. N. Guz, “On the accuracy of Kirchhoff–Love hypothesis in determining the critical forces in the theory of elastic stability,”
*DAN SSSR*,**179**, No. 3, 552–554 (1968).Google Scholar - 23.A. N. Guz, “On the stability of three-dimensional elastic bodies,”
*J. Appl. Math. Mech.*,**32**, No. 5, 950–955 (1968).zbMATHCrossRefGoogle Scholar - 24.A. N. Guz, “On the stability of a strip,”
*Izv. AN SSSR*,*Mekh. Tverd. Tela*, No. 6, 111–113 (1969).Google Scholar - 25.A. N. Guz, “On setting up a stability theory of unidirectional fibrous materials,”
*Int. Appl. Mech.*,**5**, No. 2, 156–162 (1969).ADSCrossRefGoogle Scholar - 26.O. M. Guz, “Determining the theoretical ultimate compressive strength of reinforced materials,”
*Dop. AN URSR*,*Ser. A*, No. 3, 236–238 (1969).Google Scholar - 27.A. N. Guz, “The application condition for the Euler method of stability analysis of the deformation of nonlinear elastic bodies at finite subcritical strains,”
*DAN SSSR*,**194**, No. 3, 38–40 (1970).Google Scholar - 28.A. N. Guz, “The three-dimensional theory of stability of deformation of materials with rheological properties,”
*Izv. AN SSSR*,*Mekh. Tverd. Tela*, No. 6, 104–107 (1970).Google Scholar - 29.A. N. Guz, “Constructing a theory for the strength of unidirectionally reinforced materials in compression,”
*Strength of Materials*,**3**, No. 3, 278–280 (1971).CrossRefGoogle Scholar - 30.A. N. Guz,
*Stability of Three-Dimensional Deformable Bodies*[in Russian], Naukova Dumka, Kyiv (1971).Google Scholar - 31.À. N. Guz,
*Stability of Elastic Bodies Subject to Finite Deformations*[in Russian], Naukova Dumka, Kyiv (1973).Google Scholar - 32.À. N. Guz, “Analogies between linearized and linear problems of elasticity,”
*Dokl. AN SSSR*,**212**, No. 5, 1089–1091 (1973).Google Scholar - 33.O. M. Guz, “Variational principles of three-dimensional problems of the stability of incompressible bodies,”
*Dop. AN URSR*,*Ser. A*, No. 11, 1008–1012 (1973).Google Scholar - 34.A. N. Guz,
*Fundamentals of the Theory of Stability of Mine Workings*[in Russian], Naukova Dumka, Kyiv (1977).Google Scholar - 35.À. N. Guz,
*Stability of Elastic Bodies under Triaxial Compression*[in Russian], Naukova Dumka, Kyiv (1979).Google Scholar - 36.A. N. Guz, “Variational principles in the three-dimensional theory of stability of deformable bodies under follower loads,”
*DAN SSSR*,**246**, No. 6, 1314–1316 (1979).Google Scholar - 37.À. N. Guz, “Linearized theory of fracture of prestressed brittle materials,”
*Dokl. AN SSSR*,**252**, No. 5, 1085–1088 (1980).Google Scholar - 38.À. N. Guz, “Tensile cracks in elastic bodies with prestresses,”
*Dokl. AN SSSR*,**254**, No. 3, 571–574 (1980).MathSciNetGoogle Scholar - 39.À. N. Guz, “A failure criterion for solids compressed along cracks: Plane problem,”
*Dokl. AN SSSR*,**259**, No. 6, 1315–1318 (1981).Google Scholar - 40.À. N. Guz, “A failure criterion for solids compressed along cracks: Three-dimensional problem,”
*Dokl. AN SSSR*,**261**, No. 1, 42–45 (1981).Google Scholar - 41.A. N. Guz, “Brittle fracture criterion for prestressed materials,”
*DAN SSSR*,**262**, No. 2, 285–288 (1982).Google Scholar - 42.A. N. Guz, “Continuum theory of the fracture of a compressed composite with an elastoplastic matrix,”
*DAN SSSR*,**262**, No. 3, 556–560 (1982).Google Scholar - 43.A. N. Guz, “Failure of unidirectional composite materials under axial compression,”
*Mech. Comp. Mater.*,**18**, No. 3, 282–288 (1982).CrossRefGoogle Scholar - 44.A. N. Guz,
*Brittle Fracture Mechanics of Prestressed Materials*[in Russian], Naukova Dumka, Kyiv (1983).Google Scholar - 45.A. N. Guz, “Continuum theory of composites with small-scale curvature in structure,”
*DAN SSSR*,**268**, No. 2, 307–313 (1983).Google Scholar - 46.A. N. Guz, “Theory of vibrations of composites with small-scale curvature in structure,”
*DAN SSSR*,**270**, No. 4, 824–827 (1983).Google Scholar - 47.A. N. Guz, “A brittle-fracture criterion for materials with defects under compression,”
*DAN SSSR*,**285**, No. 4, 828–831 (1985).Google Scholar - 48.A. N. Guz, “The order of singularity at the crack tip in prestressed materials,”
*Dokl. AN SSSR*,**289**, No. 2, 310–313 (1986).Google Scholar - 49.A. N. Guz,
*Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies*[in Russian], Vyshcha Shkola, Kyiv (1986).Google Scholar - 50.A. N. Guz, “Continuum theory of the fracture of composites under biaxial compression,”
*DAN SSSR*,**293**, No. 4, 805–809 (1987).Google Scholar - 51.A. N. Guz, “Continuum theory of the end-crushing fracture of composites,”
*DAN SSSR*,**298**, No. 3, 565–570 (1988).Google Scholar - 52.A. N. Guz, “Exact solution to the plane problem of the fracture of a material compressed along cracks located in a plane,”
*Dokl. AN SSSR*,**310**, No. 3, 563–566 (1990).Google Scholar - 53.A. N. Guz, “Local stability of fibrous composites,”
*DAN SSSR*,**314**, No. 4, 806–809 (1990).Google Scholar - 54.À. N. Guz,
*Fracture Mechanics of Compressed Composite Materials*[in Russian], Naukova Dumka, Kyiv (1990).Google Scholar - 55.A. N. Guz, “Nonclassical problems of fracture mechanics,”
*Fiz.-Khim. Mekh. Mater.*,**29**, No. 3, 86–97 (1993).Google Scholar - 56.A. N. Guz, “Moving cracks in composite materials with initial stresses,”
*Mech. Comp. Mater.*,**37**, No. 5/6, 449–458 (2001).CrossRefGoogle Scholar - 57.A. N. Guz,
*Fundamentals of the Fracture Mechanics of Compressed Composites*[in Russian], in 2 vols., Litera, Kyiv (2008). Vol. 1.*Fracture in the Structure of a Material*. Vol. 2.*Related Failure Mechanisms*.Google Scholar - 58.A. N. Guz, “Mechanics of crack propagation in materials with initial (residual) stresses (review),”
*Int. Appl. Mech.*,**47**, No. 2, 121–168 (2011).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 59.A. N. Guz, “Establishing the foundations of the mechanics of fracture of materials compressed along cracks (review),”
*Int. Appl. Mech.*,**50**, No. 1, 1–57 (2014).ADSMathSciNetCrossRefGoogle Scholar - 60.A. N. Guz,
*Elastic Waves in Bodies with Initial*(*Residual*)*Stresses*[in Russian], in two parts, LAP LAMBERT Academic Publishing, Saarbrucken/Deutschland (2016). Part 1.*General Issues. Waves in Unbounded Bodies and Surface Waves*. Part 2.*Waves in Semibounded Bodies*.Google Scholar - 61.A. N. Guz and I. A. Guz, “Continuum approximation in the theory of stability of composite laminates,”
*DAN SSSR*,**305**, No. 5, 1073–1076 (1989).Google Scholar - 62.A. N. Guz and I. A. Guz, “Local instability of composite laminates,”
*DAN SSSR*,**311**, No. 4, 812–814 (1990).Google Scholar - 63.A. N. Guz, I. A. Guz, A. V. Men’shikov, and V. A. Men’shikov, “Three-dimensional problems in the dynamic fracture mechanics of materials with interface cracks (review),”
*Int. Appl. Mech.*,**49**, No. 1, 1–61 (2013).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 64.A. N. Guz and V. A. Dekret,
*Short-Fiber Model in the Theory of the Stability of Composites*[in Russian], LAP Lambert Acad. Publ., Saarbrücken/Deutschland (2015).Google Scholar - 65.A. N. Guz and V. A. Dekret, “Finite-fiber model in the three-dimensional theory of stability of composites (review),”
*Int. Appl. Mech.*,**52**, No. 1, 1–48 (2016).ADSCrossRefGoogle Scholar - 66.A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Plane problems of stability of composite materials with a finite-size filler,”
*Mech. Comp. Mater.*,**36**, No. 1, 49–54 (2000).CrossRefGoogle Scholar - 67.A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Interaction of short fibers in a matrix during loss of stability: Plane problem,” in:
*Problems of Mechanics*[in Russian], Fizmatlit, Moscow (2003), pp. 331–341.Google Scholar - 68.A. N. Guz, M. Sh. Dyshel’, G. G. Kuliev, and O. B. Milovanova, “Stability of thin plates with cracks,”
*Dokl. AN USSR*,*Ser. A*, No. 5, 421–426 (1977).Google Scholar - 69.A. N. Guz, M. Sh. Dyshel’, G. G. Kuliev, and O. B. Milovanova,
*Fracture and Stability of Thin Bodies with Cracks*[in Russian], Naukova Dumka, Kyiv (1981).zbMATHGoogle Scholar - 70.A. N. Guz and V. V. Zozulya, “Dynamic problem for a plane with a cut; interaction of the banks,”
*Sov. Phys. Dokl.*,**36**, No. 5, 406–409 (1991).ADSzbMATHGoogle Scholar - 71.A. N. Guz and V. V. Zozulya, “Dynamic contact problem for a plane with two cuts,”
*Sov. Phys. Dokl.*,**36**, No. 11, 804–805 (1991).ADSzbMATHGoogle Scholar - 72.A. N. Guz and V. V. Zozulya, “Dynamic problem in elasticity with constraints in the form of inequalities,”
*Dokl. AN USSR*, No. 5, 47–50 (1991).Google Scholar - 73.A. N. Guz, V. V. Zozulya, and A. V. Men’shikov, “Contact interaction of the faces of an elliptic crack under the action of a normal harmonic load,” in: D. D. Ivlev and N. F. Morozov (eds.),
*Problems of Solid and Rock Mechanics*[in Russian], Fizmatgiz, Moscow (2006), pp. 204–220.Google Scholar - 74.A. N. Guz, V. I. Knyukh, and V. M. Nazarenko, “Delamination of a composite compressed along two parallel macrocracks,”
*Fiz.-Khim. Mekh. Mater.*,**23**, No. 1, 72–78 (1987).Google Scholar - 75.À. N. Guz, V. P. Korzh, and V. N. Chekhov, “Stability of a layered half-plane under distributed surface loads,”
*DAN SSSR*,**313**, No. 6, 1381–1385 (1990).zbMATHGoogle Scholar - 76.A. N. Guz and Yu. V. Kokhanenko, “Brittle end-crushing fracture of composites (piecewise-homogeneous material model),”
*DAN SSSR*,**296**, No. 4, 805–808 (1987).Google Scholar - 77.A. N. Guz and G. G. Kuliev, “Problem statement for the stability of deformation of thin bodies with cracks,”
*Dokl. AN USSR*,*Ser. A*, No. 12, 1085–1088 (1976).Google Scholar - 78.A. N. Guz, G. G. Kuliev, and N. K. Zeinalov, “Bulging of a stretched plate with a curved hole,”
*Izv. AN SSSR*,*Mekh. Tverd. Tela*, No. 2, 163–168 (1979).Google Scholar - 79.A. N. Guz, G. G. Kuliev, and I. A. Tsurpal, “Concepts of stability in the theory of brittle fracture,” in:
*Abstracts of 4th All-Union Congress on Theory and Applied Mechanics*[in Russian], Kyiv (1976).Google Scholar - 80.A. N. Guz and Yu. N. Lapusta, “On a method of investigating fibre stability in an elastic semi-infinite matrix near a free surface,”
*J. Appl. Math. Mech.*,**53**, No. 4, 546–550 (1989).MathSciNetzbMATHCrossRefGoogle Scholar - 81.A. N. Guz and Yu. N. Lapusta, “Near-surface instability of a row of fibers in a composite,”
*DAN*,**325**, No. 4, 679–683 (1992).Google Scholar - 82.A. N. Guz and D. A. Musaev, “Fracture of ribbon-reinforced composites under compression,”
*DAN SSSR*,**301**, No. 3, 565–568 (1988).Google Scholar - 83.A. N. Guz, V. L. Bogdanov, and V. M. Nazarenko, “Fracture of a half-space with a near-surface penny-shaped crack in compression: Spatial nonaxisymmetric problem,”
*Dokl. AN SSSR*,**319**, No. 4, 835–839 (1991).Google Scholar - 84.À. N. Guz and V. M. Nazarenko, “Fracture of a half-space with a surface penny-shaped crack: Axisymmetric problem,”
*Dokl. AN SSSR*,**274**, No. 1, 38–41 (1984).zbMATHGoogle Scholar - 85.A. N. Guz and V. M. Nazarenko, “Ductile near-surface fracture of a material compressed along macrocracks: Spatial problem,”
*Dokl. AN SSSR*,**284**, No. 4, 812–815 (1985).Google Scholar - 86.A. N. Guz and V. M. Nazarenko, “Theory of surface delamination of composites in compression along a macrocrack,”
*Mech. Comp. Mater.*,**21**, No. 5, 563–570 (1985).CrossRefGoogle Scholar - 87.A. N. Guz and V. M. Nazarenko, “Fracture of materials under compression along a periodic system of cracks under plane strain conditions,”
*J. Appl. Math. Mech.*,**51**, No. 2, 261–256 (1987).zbMATHCrossRefGoogle Scholar - 88.A. N. Guz, V. M. Nazarenko, and I. P. Starodubtsev, “Plane problem of the fracture of materials with two parallel cracks compressed along cracks,” in: V. G. Zubchaninov (ed.),
*Problems of Solid Mechanics*[in Russian], Kalinin. Univ., Kalinin (1986), pp. 138–151.Google Scholar - 89.A. N. Guz, V. M. Nazarenko, and Yu. I. Khoma, “Fracture of a composite compressed along a cylindrical crack,”
*Dokl. NANU*, No. 10, 48–52 (1995).Google Scholar - 90.A. N. Guz, J. J. Rushchitsky, and I. A. Guz,
*Introduction to the Mechanics of Nanocomposites*[in Russian], Inst. Mekh. im. S. P. Timoshenko, Kyiv (2010).Google Scholar - 91.A. N. Guz, E. A. Tkachenko, and V. N. Chekhov, “Calculation of stability of laminated composite coatings in tribotechnics,”
*Mech. Comp. Mater.*,**36**, No. 2, 139–142 (2000).CrossRefGoogle Scholar - 92.A. N. Guz, E. A. Tkachenko, and V. N. Chekhov, “Surface instability of laminated coatings upon inelastic deformation,”
*Mech. Comp. Mater.*,**36**, No. 6, 475–480 (2000).CrossRefGoogle Scholar - 93.A. N. Guz and M. A. Cherevko, “Revisiting the fracture mechanics of a fibrous composite under compression,”
*DAN SSSR*,**268**, No. 4, 806–808 (1981).Google Scholar - 94.A. N. Guz and M. A. Cherevko, “Compression failure of a unidirectional fibrous composite with an elastoplastic matrix,”
*Mech. Comp. Mater.*,**18**, No. 6, 656–663 (1983).CrossRefGoogle Scholar - 95.A. N. Guz, M. A. Cherevko, G. G. Margolin, and I. M. Romashko, “Failure of unidirectional boron-reinforced aluminum composites in compression,”
*Mech. Comp. Mater.*,**22**, No. 2, 158–162 (1986).CrossRefGoogle Scholar - 96.A. N. Guz and V. N. Chekhov, “Surface buckling of a layered half-plane with layers subject to elastoplastic deformation,”
*DAN SSSR*,**272**, No. 3, 546–550 (1983).Google Scholar - 97.A. N. Guz and V. N. Chekhov, “Surface instability of laminated materials at low and finite subcritical strains,”
*Mech. Comp. Mater.*,**20**, No. 5, 590–584 (1985).CrossRefGoogle Scholar - 98.A. N. Guz and V. N. Chekhov, “Stability analysis of semi-infinite layered materials taking into account their elastic and elastoplastic properties,”
*Izv. AN SSSR*, No. 1, 87–96 (1985).Google Scholar - 99.A. N. Guz and V. N. Chekhov, “Using variational methods in stability problems for layered semibounded materials,”
*DAN SSSR*,**283**, No. 5, 1123–1126 (1985).Google Scholar - 100.A. N. Guz, V. N. Chekhov, and N. A. Shul’ga, “Surface instability of a half-space of periodic structure,”
*DAN SSSR*,**266**, No. 6, 1306–1310 (1982).MathSciNetzbMATHGoogle Scholar - 101.I. A. Guz, “Stability of a composite compressed along an interface crack,”
*DAN SSSR*,**325**, No. 3, 455–458 (1992).MathSciNetGoogle Scholar - 102.I. A. Guz, “Plane problem of the stability of composites with slipping layers,”
*Mech. Comp. Mater.*,**27**, No. 5, 547–551 (1992).CrossRefGoogle Scholar - 103.I. A. Guz, “Stability of a composite compressed along two interface microcracks,”
*DAN SSSR*,**328**, No. 4, 437–439 (1993).Google Scholar - 104.I. A. Guz, “Composites with interlamination cracks: Stability under compression along two microcracks between orthotropic layers,”
*Mech. Comp. Mater.*,**29**, No. 6, 581–586 (1994).CrossRefGoogle Scholar - 105.I. A. Guz, “Stability of composites compressed along an array of parallel interlaminar cracks,”
*Dokl. NANU*, No. 6, 44–47 (1995).Google Scholar - 106.Yu. M. Dal’, “Local bending of a stretched plate with a crack,”
*Izv. AN SSSR*,*Mekh. Tverd. Tela*, No. 4, 135–141 (1978).Google Scholar - 107.V. A. Dekret, “Solving the plane buckling problem for a composite reinforced with two short fibers,”
*Dop. NANU*, No. 8, 37–40 (2003).Google Scholar - 108.V. A. Dekret, “Plane buckling problem for a composite reinforced with two parallel short fibers,”
*Dop. NANU*, No. 12, 38–41 (2003).Google Scholar - 109.V. A. Dekret, “Stability of a composite reinforced with a periodic row of inline short fibers,”
*Dop. NANU*, No. 11, 47–50 (2004).Google Scholar - 110.V. A. Dekret, “Stability of a composite reinforced with a periodic row of parallel short fibers,”
*Dop. NANU*, No. 12, 41–44 (2004).Google Scholar - 111.V. A. Dekret, “Stability of a composite under-reinforced with short fibers near the free surface,”
*Dop. NANU*, No. 10, 49–51 (2006).Google Scholar - 112.M. V. Dovzhik, “Fracture of a half-space compressed along a penny-shaped crack located at a short distance from the surface,”
*Int. Appl. Mech.*,**48**, No. 3, 294–304 (2012).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 113.M. V. Dovzhik, “Fracture of a material compressed along two closely spaced penny-shaped cracks,”
*Int. Appl. Mech.*,**49**, No. 1, 563–572 (2012).MathSciNetzbMATHCrossRefGoogle Scholar - 114.M. V. Dovzhik, “Fracture of a material compressed along a periodic array of closely spaced penny-shaped cracks,”
*Dop. NAN Ukrainy*, No. 10, 100–105 (2013).Google Scholar - 115.M. V. Dovzhik and V. M. Nazarenko, “Fracture of a material compressed along two closely spaced penny-shaped cracks,”
*Int. Appl. Mech.*,**48**, No. 4, 423–429 (2012).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 116.M. V. Dovzhik and V. M. Nazarenko, “Fracture of a material compressed along a periodic set of closely spaced cracks,”
*Int. Appl. Mech.*,**48**, No. 6, 710–718 (2012).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 117.M. Sh. Dyshel’, “Allowing for the local buckling of plates with cracks in experimental determination of the stress intensity factor,”
*Dokl. AN USSR*,*Ser. A*, No. 11, 40–44 (1988).Google Scholar - 118.V. M. Enotov and R. L. Salganik, “Beam approximation in the theory of cracks,”
*Izv. AN SSSR*,*Mekh.*, No. 5, 95–102 (1965).Google Scholar - 119.V. V. Zozulya, “Dynamic problems in the theory of cracks with contact, stick, and sliding areas,”
*Dokl. AN USSR*,*Ser. A*, No. 1, 47–50 (1990).Google Scholar - 120.V. V. Zozulya, “Dynamic problems in the theory of cracks with contact, stick, and slip areas,”
*Dokl. AN USSR*,*Ser. A*, No. 3, 53–50 (1990).Google Scholar - 121.V. V. Zozulya, “Harmonic load acting on a crack with interacting edges in an unbounded body,”
*Dokl. AN USSR*,*Ser. A*, No. 4, 46–49 (1990).Google Scholar - 122.V. V. Zozulya, “Hadamard integrals in dynamic problems of the theory of cracks,”
*Dokl. AN USSR*,*Ser. A*, No. 2, 19–22 (1991).Google Scholar - 123.V. V. Zozulya, “Dynamic problem for a plane with two cracks with contacting edges,”
*Dokl. AN USSR*, No. 8, 75–80 (1991).Google Scholar - 124.V. V. Zozulya, “Solving dynamic problems for bodies with cracks by the method of boundary integral equations,”
*Dokl. AN USSR*,*Ser. A*, No. 3, 38–43 (1992).Google Scholar - 125.A. Yu. Ishlinskii, “Stability of the equilibrium of elastic bodies in the context of the mathematical theory of elasticity,”
*Ukr. Mat. J.*,**6**, No. 2, 140–146 (1954).Google Scholar - 126.M. V. Keldysh and L. I. Sedov, “Effective solution of some boundary-value problems for harmonic functions,”
*Dokl. AN SSSR*,**16**, No. 1, 7–10 (1937).zbMATHGoogle Scholar - 127.L. J. Broutman and R. H. Krock (eds.),
*Composite Materials*, in 8 vols., Academic Press, New York–London (1974–1975).Google Scholar - 128.Yu. V. Kokhanenko, “Applying the finite-difference method to problems of elastic stability,”
*Dop. AN URSR*,*Ser. A*, No. 7, 537–539 (1973).Google Scholar - 129.Yu. V. Kokhanenko, “One method of solving problems of the three-dimensional stability of ribbon composites,”
*Dokl. AN USSR*,*Ser. A*, No. 2, 31–33 (1989).Google Scholar - 130.G. G. Kuliev, “Fracture of deformable bodies with a central vertical crack in a homogeneous force field,”
*Dokl. AN USSR*,*Ser. A*, No. 8, 714–717 (1978).Google Scholar - 131.G. G. Kuliev, “Buckling near a crack preceding brittle fracture,”
*Dokl. AN USSR*,*Ser. A*, No. 5, 355–358 (1979).Google Scholar - 132.Yu. N. Lapusta, “Method of stability analysis of two fibers in an elastic semi-infinite matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 1, 42–45 (1989).Google Scholar - 133.Yu. N. Lapusta, “Allowing for the effect of the free boundary on the stability of a periodic row of fibers in an elastic semi-infinite matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 5, 34–37 (1989).Google Scholar - 134.Yu. N. Lapusta, “Solving the problem of the near-surface buckling of a periodic array of fibers in an elastic matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 7, 48–52 (1989).Google Scholar - 135.Yu. N. Lapusta, “Possible buckling modes of a fiber in a semi-infinite matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 11, 42–45 (1989).Google Scholar - 136.Yu. N. Lapusta, “Stability of a row of fibers near the free flat edge of a matrix under axial compression,”
*Mekh. Komp. Mater.*, No. 4, 739–742 (1990).Google Scholar - 137.Yu. N. Lapusta, “Stability of a fiber near a cavity in an elastoplastic matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 9, 80–84 (1991).Google Scholar - 138.Yu. N. Lapusta, “Near-surface instability of a periodic array of fibers in an elastic matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 8, 70–75 (1992).Google Scholar - 139.L. S. Leibenzon, “Application of harmonic functions in stability analysis of spherical and cylindrical shells,” in:
*Collected Works*[in Russian], Vol. 1, Izd. AN SSSR, Moscow (1951), pp. 110–121.Google Scholar - 140.S. G. Lekhnitskii,
*Theory of Elasticity of an Anisotropic Body*, Mir, Moscow (1981).zbMATHGoogle Scholar - 141.A. V. Men’shikov, “Spatial contact problem for two coaxial circular cracks under normal harmonic loading,”
*Dop. NANU*, No. 6, 44–49 (2005).Google Scholar - 142.A. V. Men’shikov, “Stress intensity factors for a circular crack with contacting edges under harmonic loading,”
*Probl. Mashinostr.*,**9**, No. 2, 43–47 (2006).Google Scholar - 143.A. V. Men’shikov and I. A. Guz, “Dependence of the shear stress intensity factors on the friction force under harmonic loading of a circular crack,”
*Probl. Mashinostr.*,**9**, No. 3, 65–71 (2006).Google Scholar - 144.A. V. Men’shikov and M. V. Men’shikov, “Studying the contact interaction of crack faces by the Galerkin method,”
*Teor. Prikl. Mekh.*,**41**, 151–155 (2005).Google Scholar - 145.A. N. Guz (ed.),
*Mechanics of Composite Materials*[in Russian], in 12 vols., Naukova Dumka (Vols. 1–4), A.S.K. (Vols. 5–12), Kyiv (1993–2003). Vol. 1. V. T. Golovchan (ed.),*Statics of Materials*(1993). Vol. 2. N. A. Shul’ga (ed.),*Dynamics and Stability of Materials*(1993). Vol. 3. L. P. Khoroshun (ed.),*Statistical Mechanics and Effective Properties of Materials*(1993). Vol. 4. A. N. Guz and S. D. Akbarov (eds.),*Mechanics of Materials with Curved Structure*(1995). Vol. 5. A. A. Kaminsky (ed.),*Fracture Mechanics*(1996). Vol. 6. N. A. Shul’ga and V. T. Tomashevskii (eds.),*Process-Induced Stresses and Strains in Materials*(1997). Vol. 7. A. N. Guz, A. S. Kosmodamianskii, and V. P. Shevchenko (eds.),*Stress Concentration*(1998). Vol. 8. Ya. M. Grigorenko,*Statics of Structural Members*(1999). Vol. 9. V. D. Kubenko (ed.),*Dynamics of Structural Members*(1999). Vol. 10. I. Yu. Babich (ed.),*Stability of Structural Members*(2001). Vol. 11. Ya. M. Grigorenko and Yu. N. Shevchenko (eds.),*Numerical Methods*(2002). Vol. 12. A. N. Guz and L. P. Khoroshun (eds.),*Applied Research*(2003).Google Scholar - 146.V. V. Panasyuk (ed.),
*Fracture Mechanics and Structural Strength: Handbook*[in Russian], in 4 vols., Kyiv, Naukova Dumka (1988–1990). Vol. 1. V. V. Panasyuk, A. E. Andreikiv, and V. Z. Parton,*Foundations of the Fracture Mechanics of Materials*(1988). Vol. 2. M. P. Savruk,*Stress Intensity Factors in Cracked Bodies*(1988). Vol. 3. S. E. Kovchik and E. M. Morozov,*Characteristics of Short-Term Crack Resistance of Materials and Methods of Determining Them*(1988). Vol. 4. O. N. Romaniv, S. Ya. Yarema, G. N. Nikiforchin, N. A. Makhutov, and M. N. Stadnik,*Fatigue and Cyclic Crack Resistance of Structural Materials*(1990).Google Scholar - 147.A. M. Mikhailov, “Dynamic problems of the theory of cleavages in a beam approximation,”
*J. Appl. Mech. Tech. Phys.*,**7**, No. 5, 122–125 (1966).CrossRefGoogle Scholar - 148.N. I. Muskhelishvili,
*Some Basic Problems of the Mathematical Theory of Elasticity*, Noordhoff, Groningen (1975).zbMATHGoogle Scholar - 149.V. M. Nazarenko, “The spatial problem of the compression of a material along a periodic system of parallel circular cracks,”
*J. Appl. Math. Mech.*,**52**, No. 1, 120–125 (1988).MathSciNetzbMATHCrossRefGoogle Scholar - 150.V. M. Nazarenko, “Compression of a material along a near-surface penny-shaped crack: Nonaxisymmetric problem,”
*Prikl. Mekh.*,**25**, No. 1, 124–127 (1989).Google Scholar - 151.V. M. Nazarenko and Yu. I. Khoma, “A method for solving problems of the fracture of an unbounded material with a cylindrical crack under axial compression (case of unequal roots),”
*Dokl. NAN Ukrainy*, No. 7, 62–67 (1994).Google Scholar - 152.V. M. Nazarenko and Yu. I. Khoma, “Compression of an infinite composite material along a finite cylindrical crack,”
*Mech. Comp. Mater.*,**31**, No. 1, 20–25 (1995).CrossRefGoogle Scholar - 153.H. S. Katz and J. V. Milevski,
*Handbook of Fillers and Reinforcements for Plastics*, Van Nostrand Reinhold, New York (1978).Google Scholar - 154.A. N. Guz (ed.),
*Nonclassical Problems of Fracture Mechanics*[in Russian], in four vols., five books, Naukova Dumka, Kyiv (1990–1993). Vol. 1. A. A. Kaminsky,*Fracture of Viscoelastic Bodies with Cracks*(1990). Vol. 2. A. N. Guz,*Brittle Fracture of Prestressed Materials*(1991). Vol. 3. A. A. Kaminskii and D. N. Gavrilov,*Delayed Fracture of Polymeric and Composite Materials with Cracks*(1992). Vol. 4, Book 1. A. N. Guz, M. Sh. Dyshel’, and V. M. Nazarenko,*Fracture and Stability of Materials with Cracks*(1992). Vol. 4, Book 2, A. N. Guz and V. V. Zozulya,*Brittle Fracture of Materials under Dynamic Loads*(1993).Google Scholar - 155.V. V. Novozhilov,
*Foundations of the Nonlinear Theory of Elasticity*, Dover, New York (1999).Google Scholar - 156.V. Z. Parton and V. G. Boriskovskii,
*Dynamic Fracture Mechanics*[in Russian], Mashinostroenie, Moscow (1985).Google Scholar - 157.V. Z. Parton and V. G. Boriskovskii,
*Dynamics of Brittle Fracture*[in Russian], Mashinostroenie, Moscow (1988).Google Scholar - 158.J. E. Brock, R. G. Costello, and D. A. Pellet, “Buckling of a tensioned panel containing circular hole,”
*AIAA J.*,**6**, No. 10, 2012–2014 (1968).ADSCrossRefGoogle Scholar - 159.G. S. Pisarenko, V. P. Naumenko, O. V. Mitchenko, and G. S. Volkov, “Experimental determination of the value of
*K*_{I}in compression of a plate along the crack line,”*Strength of Materials*,**16**, No. 11, 1497–1505 (1984).CrossRefGoogle Scholar - 160.H. Liebowitz (ed.),
*Fracture. An Advanced Treatise*, in 7 vols., Academic Press, New York–London (1968–1975).Google Scholar - 161.B. W. Rosen, “Mechanics of composite strengthening,” in:
*Fiber Composite Materials*, American Society of Metals, Metals Park, Ohio (1965), pp. 37–75.Google Scholar - 162.B. W. Rosen and N. F. Dow, “Mechanics of failure of fibrous composites,” in: H. Liebowitz (ed.),
*Fracture*,*An Advanced Treatise*, Vol. 7, Academic Press, New York (1972), pp. 612–672.Google Scholar - 163.L. J. Broutman and R. H. Krock (eds.),
*Modern Composite Materials*, Addison-Wesley, Reading, Mass. (1967).Google Scholar - 164.A. N. Sporykhin, “Instability of the deformation of layered bodies in hardening plastic materials,”
*Izv. AN SSSR*,*Mekh. Tverd. Tela*, No. 1, 63–65 (1975).Google Scholar - 165.Ya. S. Uflyand,
*Integral Transforms in the Theory of Elasticity*[in Russian], Izd.ANSSSR, Moscow–Leningrad (1963).zbMATHGoogle Scholar - 166.Ya. S. Uflyand,
*Method of Dual Equations in Mathematical Physics*[in Russian], Nauka, Leningrad (1977).zbMATHGoogle Scholar - 167.M. A. Cherevko, “Stability of a fiber in an elastoplastic matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 9, 43–46 (1982).Google Scholar - 168.M. A. Cherevko, “Stability of a hollow fiber in an elastoplastic matrix,”
*Dokl. AN USSR*,*Ser. A*, No. 11, 35–38 (1982).Google Scholar - 169.M. A. Cherevko, “Stability of a fiber in an elastoplastic matrix when contact is imperfect,”
*Prikl. Mekh.*,**20**, No. 9, 122–123 (1984).Google Scholar - 170.M. A. Cherevko, “Stability of a row of circular fibers in an elastic-plastic matrix,”
*Sov. Appl. Mech.*,**21**, No. 12, 1160–1164 (1985).ADSzbMATHCrossRefGoogle Scholar - 171.G. P. Cherepanov, “On the buckling under tension of a membrane containing holes,”
*J. Appl. Math. Mech.*,**27**, No. 2, 405–420 (1963).MathSciNetzbMATHCrossRefGoogle Scholar - 172.G. P. Cherepanov, “Crack propagation in continuous media,”
*J. Appl. Math. Mech.*,**31**, No. 3, 503–512 (1967).zbMATHCrossRefGoogle Scholar - 173.G. P. Cherepanov,
*Mechanics of Brittle Fracture*, McGraw-Hill, New York (1974).Google Scholar - 174.G. P. Cherepanov,
*Fracture Mechanics of Composite Materials*[in Russian], Nauka, Moscow (1983).Google Scholar - 175.V. N. Chekhov, “Surface instability of layered materials under finite strains,”
*Dokl. AN USSR*,*Ser. A*, No. 5, 48–50 (1983).Google Scholar - 176.S. D. Akbarov, “A method of solving problems in the mechanics of composite materials with curved viscoelastic layers,”
*Sov. Appl. Mech.*,**21**, No. 3, 221–225 (1985).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 177.S. D. Akbarov, “Normal stresses in a fiber composite with curved structures having a low concentration of filler,”
*Sov. Appl. Mech.*,**21**, No. 11, 1065–1069 (1985).ADSMathSciNetCrossRefGoogle Scholar - 178.S. D. Akbarov, “Stress state in a viscoelastic fibrous composite with curved structures and low fiber concentration,”
*Sov. Appl. Mech.*,**22**, No. 6, 506–513 (1986).ADSCrossRefGoogle Scholar - 179.S. D. Akbarov, “Stress distribution in multi-layered composite with small-scale antiphase curvatures in structure,”
*Sov. Appl. Mech.*,**23**, No. 2, 107–111 (1987).ADSMathSciNetCrossRefGoogle Scholar - 180.S. D. Akbarov, “Stress state in a laminar composite material with local warps in the structure,”
*Sov. Appl. Mech.*,**24**, No. 5, 445–452 (1988).ADSzbMATHCrossRefGoogle Scholar - 181.S. D. Akbarov, “Distribution of self-balanced stresses in a laminated composite material with antiphase locally distorted structures,”
*Sov. Appl. Mech.*,**24**, No. 6, 560–566 (1988).ADSCrossRefGoogle Scholar - 182.S. D. Akbarov, “Solution of problems of the stress-strain state of composite materials with curvilinearly anisotropic layers,”
*Sov. Appl. Mech.*,**25**, No. 1, 12–20 (1989).ADSzbMATHCrossRefGoogle Scholar - 183.S. D. Akbarov, “The distribution of self-equilibrated stresses in fibrous composite materials with twisted fibers,”
*Mech. Comp. Mater.*, No. 3, 803–812 (1990).Google Scholar - 184.S. D. Akbarov, “On the crack problems in composite materials with locally curved layers,”
*Mech. Comp. Mater.*, No. 6, 750–759 (1994).Google Scholar - 185.S. D. Akbarov, “On the determination of normalized non-linear mechanical properties of composite materials with periodically curved layers,”
*Int. J. Solid Struct.*,**32**, No. 21, 3229–3243 (1995).CrossRefGoogle Scholar - 186.S. D. Akbarov, “On the three-dimensional stability loss problems of elements of constructions fabricated from the viscoelastic composite materials,”
*Mech. Comp. Mater.*,**34**, No. 6, 537–544 (1998).CrossRefGoogle Scholar - 187.S. D. Akbarov, “Three-dimensional stability loss problems of viscoelastic composite materials and structural members,”
*Int. Appl. Mech.*,**43**, No. 10, 1069–1089 (2007).ADSCrossRefGoogle Scholar - 188.S. D. Akbarov,
*Stability Loss and Buckling Delamination*, Springer, Berlin (2012).Google Scholar - 189.S. D. Akbarov and S. A. Aliev, “Stress state in laminar composite material with partial distortion in structure,”
*Sov. Appl. Mech.*,**26**, No. 12, 1127–1132 (1990).ADSzbMATHCrossRefGoogle Scholar - 190.S. D. Akbarov and Z. R. Djamalov, “Influence of geometric non-linearly calculation of stress disturbation in laminar composites with curved structures,”
*Mech. Comp. Mater.*, No. 6, 799–812 (1992).Google Scholar - 191.S. D. Akbarov and A. N. Guz, “Method of solving problems in mechanics of composite materials with bent layers,”
*Sov. Appl. Mech.*,**20**, No. 4, 299–304 (1984).ADSzbMATHCrossRefGoogle Scholar - 192.S. D. Akbarov and A. N. Guz, “Method of solving problems in mechanics of fiber composites with curved structures,”
*Sov. Appl. Mech.*,**20**, No. 9, 777–784 (1984).ADSzbMATHCrossRefGoogle Scholar - 193.S. D. Akbarov and A. N. Guz, “Model of a piecewise-homogeneous body in the mechanics of laminar composites with fine-scale curvatures,”
*Sov. Appl. Mech.*,**21**, No. 4, 313–318 (1985).ADSzbMATHCrossRefGoogle Scholar - 194.S. D. Akbarov and A. N. Guz, “Stress state of a fiber composite with curved structures with a low fiber concentration,”
*Sov. Appl. Mech.*,**21**, No. 6, 560–565 (1985).ADSCrossRefGoogle Scholar - 195.S. D. Akbarov and A. N. Guz, “Continuum theory in the mechanics of composite materials with small-scale structural distorsion,”
*Sov. Appl. Mech.*,**27**, No. 1, 107–117 (1991).ADSzbMATHCrossRefGoogle Scholar - 196.S. D. Akbarov and A. N. Guz, “Mechanics of composite materials with curved structures (survey). Composite laminates,”
*Sov. Appl. Mech.*,**27**, No. 6, 535–550 (1991).ADSzbMATHCrossRefGoogle Scholar - 197.S. D. Akbarov and A. N. Guz,
*Mechanics of Curved Composites*, Kluwer Academic Publisher, Dordrecht–Boston–London (2000).zbMATHCrossRefGoogle Scholar - 198.S. D. Akbarov and A. N. Guz, “Mechanics of curved composites (piecewise-homogeneous body model),”
*Int. Appl. Mech.*,**38**, No. 12, 1415–1439 (2002).ADSzbMATHCrossRefGoogle Scholar - 199.S. D. Akbarov and A. N. Guz, “Mechanics of curved composites and some related problems for structural members,”
*Mech. Adv. Mater. Struct.*,**11**, Pt. II, No. 6, 445–515 (2004).CrossRefGoogle Scholar - 200.S. D. Akbarov, A. N. Guz, Z. R. Djamalov, and E. A. Movsumov, “Solution of problems involving the stress state of composite materials with curved layers in the geometrically nonlinear statement,”
*Int. Appl. Mech.*,**28**, No. 6, 343–346 (1992).ADSCrossRefGoogle Scholar - 201.S. D. Akbarov, A. N. Guz, and S. M. Mustafaev, “Mechanics of composite materials with anisotropic distorted layers,”
*Sov. Appl. Mech.*,**23**, No. 6, 528–533 (1987).ADSzbMATHCrossRefGoogle Scholar - 202.S. D. Akbarov, A. N. Guz, and N. Yahnioglu, “Mechanics of composite materials with curved structures and elements of constructions (review),”
*Int. Appl. Mech.*,**34**, No. 11, 1067–1078 (1998).ADSzbMATHCrossRefGoogle Scholar - 203.S. D. Akbarov, A. N. Guz, and A. D. Zamanov, “Natural vibrations of composite materials having structures with small-scale curvatures,”
*Int. Appl. Mech.*,**28**, No. 12, 794–800 (1992).ADSzbMATHCrossRefGoogle Scholar - 204.S. D. Akbarov, A. Cilli, and A. N. Guz, “The theoretical strength limit in compression of viscoelastic layered composite materials,”
*Composites. Part B: Engineering*, 365–372 (1999).Google Scholar - 205.S. D. Akbarov, M. D. Verdiev, and A. N. Guz, “Stress and deformation in a layered composite material with distorted layers,”
*Sov. Appl. Mech.*,**24**, No. 12, 1146–1153 (1988).ADSzbMATHCrossRefGoogle Scholar - 206.S. D. Akbarov, R. Kosker, and Y. Ucan, “Stress distribution in a composite material with a row of antiphase periodically curved fibers,”
*Int. Appl. Mech.*,**42**, No. 4, 486–488 (2006).ADSzbMATHCrossRefGoogle Scholar - 207.S. D. Akbarov, F. G. Maksudov, P. G. Panakhov, and A. I. Seyfullayev, “On the crack problems in composite materials with curved layers,”
*Int. J. Eng. Sci.*,**32**, No. 6, 1003–1016 (1994).zbMATHCrossRefGoogle Scholar - 208.S. D. Akbarov, Mustafaev S. M. “Distribution of self-balanced stresses in composite materials with curved curvilinearly anisotropic layers,”
*Sov. Appl. Mech.*,**27**, No. 12, 1225–1227 (1991).ADSCrossRefGoogle Scholar - 209.S. D. Akbarov and O. G. Rzayev, “Delamination of unidirectional viscoelastic composite materials,”
*Mech. Comp. Mater.*,**39**, No. 3, 368–374 (2002).Google Scholar - 210.S. D. Akbarov, T. Sisman, and N. Yahnioglu, “On the fracture of the unidirectional composites in compression,”
*Int. J. Eng. Sci.*,**35**, No. 1, 1115–1136 (1997).zbMATHCrossRefGoogle Scholar - 211.S. D. Akbarov and N. Yahnioglu, “Stress distribution in a strip fabricated from a composite material with small-scale curved structure,”
*Int. Appl. Mech.*,**32**, No. 9, 684–690 (1996).ADSzbMATHCrossRefGoogle Scholar - 212.S. D. Akbarov and N. Yahnioglu, “The method for investigation of the general theory of stability problems of structural elements fabricated from the viscoelastic composite materials,”
*Composites*,*Part. B: Engineering*,**32**, No. 5, 475–482 (2001).CrossRefGoogle Scholar - 213.I. Yu. Babich, “On the stability of a fiber in a matrix under small deformations,”
*Sov. Appl. Mech.*,**9**, No. 4, 370–375 (1973).ADSCrossRefGoogle Scholar - 214.I. Yu. Babich and V. N. Chekhov, “Surface and internal instability in laminated composites,”
*Sov. Appl. Mech.*,**25**, No. 1, 21–28 (1989).ADSzbMATHCrossRefGoogle Scholar - 215.I. Yu. Babich, I. N. Garashchuk, and A. N. Guz, “Stability of a fiber in an elastic matrix with nonuniform subcritical state,”
*Sov. Appl. Mech.*,**19**, No. 11, 941–947 (1983).ADSzbMATHCrossRefGoogle Scholar - 216.I. Yu. Babich and A. N. Guz, “Deformation instability of laminated materials,”
*Sov. Appl. Mech.*,**5**, No. 5, 488–491 (1969).ADSCrossRefGoogle Scholar - 217.I. Yu. Babich and A. N. Guz, “Methods of studing three-dimensional problems of stability in highly-elastic deformations,”
*Sov. Appl. Mech.*,**8**, No. 6, 596–599 (1972).ADSCrossRefGoogle Scholar - 218.I. Yu. Babich, A. N. Guz, and V. N. Chekhov, “The three-dimensional theory of stability of fibrous and laminated materials,”
*Int. Appl. Mech.*,**37**, No. 9, 1103–1141 (2001).ADSzbMATHCrossRefGoogle Scholar - 219.I. Yu. Babich, A. N. Guz, and V. I. Kilin, “Aspects of the fracture and stability of laminated structures with elastic strains,”
*Sov. Appl. Mech.*,**22**, No. 7, 601–605 (1986).ADSCrossRefGoogle Scholar - 220.I. Yu. Babich, A. N. Guz, and N. A. Shul’ga, “Investigation of the dynamics and stability of composite materials in a three-dimensional formulation (survey),”
*Sov. Appl. Mech.*,**18**, No. 1, 1–21 (1982).ADSzbMATHCrossRefGoogle Scholar - 221.V. M. Babich, A. N. Guz, and V. M. Nazarenko, “Disk-shaped normal-rupture crack near the surface of a semiinfinite body with initial stresses,”
*Sov. Appl. Mech.*,**27**, No. 7, 637–643 (1991).ADSzbMATHCrossRefGoogle Scholar - 222.M. A. Biot,
*Mechanics of Incremental Deformations*, Willey, New York (1965).CrossRefGoogle Scholar - 223.M. A. Biot, “Surface instability in finite anisotropic elasticity under initial stress,”
*Proc. Roy. Soc.*,**273**, No. 1354 (1963).Google Scholar - 224.M. A. Biot, “Interface instability in finite elasticity under initial stress,”
*Proc. Roy. Soc.*,**273**, No. 1354 (1963).Google Scholar - 225.V. L. Bogdanov, “On a circular shear crack in a semi-infinite composite with initial stresses,”
*Mater. Sci.*,**43**, No. 2, 321–330 (2007).CrossRefGoogle Scholar - 226.V. L. Bogdanov, “Effect of residual stresses on fracture of semi-infinite composite with cracks,”
*J. Mech. Adv. Mater. Struct.*,**15**, No. 6, 453–460 (2008).CrossRefGoogle Scholar - 227.V. L. Bogdanov, “Influence of initial stresses on fracture of composite materials containing interacting cracks,”
*J. Math. Sci.*,**165**, No. 3, 371–384 (2010).CrossRefGoogle Scholar - 228.V. L. Bogdanov, “Nonaxisymmetric problem of the stress-strain state of an elastic half-space with a near-surface circular crack under action of loads along it,”
*J. Math. Sci.*,**174**, No. 3, 341–366 (2011).CrossRefGoogle Scholar - 229.V. L. Bogdanov, “Influence of initial stresses on the stressed state of a composite with a periodic system of parallel coaxial normal tensile cracks,”
*J. Math. Sci.*,**186**, No. 1, 1–13 (2012).CrossRefGoogle Scholar - 230.V. L. Bogdanov, “On the interaction of a periodic system of parallel coaxial radial-shear cracks in a prestressed composite,”
*J. Math. Sci.*,**187**, No. 5, 606–618 (2012).MathSciNetCrossRefGoogle Scholar - 231.V. L. Bohdanov, “Mutual influence of two parallel coaxial cracks in a composite material with initial stresses,”
*Mater. Sci.*,**44**, No. 4, 530–540 (2008).CrossRefGoogle Scholar - 232.V. L. Bohdanov, “Influence of initial stresses on the fracture of a composite material weakened by a subsurface mode III crack,”
*J. Math. Sci.*,**205**, No. 5, 621–634 (2015).MathSciNetCrossRefGoogle Scholar - 233.V. L. Bogdanov, A. N. Guz, V. M. Nazarenko “Fracture of semiinfinite material with a circular surface crack in compression along the crack plane,”
*Int. Appl. Mech.*,**28**, No. 11, 687–704 (1992).ADSzbMATHCrossRefGoogle Scholar - 234.V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Nonaxisymmetric compressive failure of a circular crack parallel to a surface of halfspace,”
*Theor. Appl. Fract. Mech.*,**22**, 239–247 (1995).MathSciNetCrossRefGoogle Scholar - 235.V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Fracture of a body with a periodic set of coaxial cracks under forces directed along them: an axisymmetric problem,”
*Int. Appl. Mech.*,**45**, No. 2, 111–124 (2009).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 236.V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Stress–strain state of a material under forces acting along a periodic set of coaxial mode II penny-shaped cracks,”
*Int. Appl. Mech.*,**46**, No. 12, 1339–1350 (2010).MathSciNetzbMATHCrossRefGoogle Scholar - 237.V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Nonclassical problems in the fracture mechanics of composites with interacting cracks,”
*Int. Appl. Mech.*,**51**, No. 1, 64–84 (2015).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 238.V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Spatial problems of the fracture of materials loaded along cracks (Review),”
*Int. Appl. Mech.*,**51**, No. 5, 489–560 (2015).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 239.V. L. Bogdanov and V. M. Nazarenko, “Study of the compressive failure of a semi-infinite elastic material with a harmonic potential,”
*Int. Appl. Mech.*,**30**, No. 10, 760–765 (1994).ADSCrossRefGoogle Scholar - 240.H. Budiansky, “Micromechanics,”
*Compos. Struct.*,**16**, No. 1, 3–13 (1983).zbMATHCrossRefGoogle Scholar - 241.V. N. Chekhov, “Folding of rocks with periodic structure,”
*Sov. Appl. Mech.*,**20**, No. 3, 216–221 (1984).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 242.V. N. Chekhov, “Effect of the hereditary properties of a medium on the surface instability of a layered half-space,”
*Sov. Appl. Mech.*,**20**, No. 7, 613–618 (1984).ADSzbMATHCrossRefGoogle Scholar - 243.V. N. Chekhov, “Surface instability of a layered medium connected to a uniform half-space,”
*Sov. Appl. Mech.*,**20**, No. 11, 1018–1024 (1984).ADSzbMATHCrossRefGoogle Scholar - 244.V. N. Chekhov, “Influence of a surface load on stability of laminar bodies,”
*Sov. Appl. Mech.*,**24**, No. 9, 839–845 (1988).ADSzbMATHCrossRefGoogle Scholar - 245.V. N. Chekhov, “On the formation of linear folds in regularly layered rock masses under biaxial loading,”
*Int. Appl. Mech.*,**41**, No. 12, 1350–1356 (2005).ADSCrossRefGoogle Scholar - 246.M. A. Cherevko, “Stability of a biperiodic system of circular fibers in an elastoplastic matrix,”
*Sov. Appl. Mech.*,**22**, No. 4, 316–321 (1986).ADSCrossRefGoogle Scholar - 247.A. Kelly and C. Zweden (eds.),
*Comprehensive Composite Materials*, Vols. 1–6, Elsevier (2006). Vol. 1. Tsu-Wei Chou (ed.),*Fiber Reinforcements and General Theory of Composites*. Vol. 2. R. Talreja and J.-A. E. Mänson (eds.),*Polymer Matrix Composites*. Vol. 3. T.W. Clyne (ed.),*Metal Matrix Composites*. Vol. 4. R. Warren (ed.),*Carbon/Carbon, Cement and Ceramic Composites*. Vol. 5. L. Carlsson, R.L. Crane, and K. Uchino (eds.),*Test Methods, Non-destructive Evaluation and Smart Materials*. Vol. 6. W.G. Bader, K. Kedsvard, and Y. Sawada (eds.),*Design and Applications*.Google Scholar - 248.Ian Milne, R.O. Ritchie, and B. Karihaloo,
*Comprehensive Structural Integrity*, Vols. 1–10, Elsevier (2006). Vol. 1. Ian Milne, R. O. Ritchie, and B. Karihaloo (eds.),*Structural Integrity Assessment—Examples and Case Studies*. Vol. 2. B. Karihaloo and W. G. Knauss,*Fundamental Theories and Mechanisms of Failure*. Vol. 3. R. de Borst and H.A. Mang (eds.),*Numerical and Computational Methods*. Vol. 4. R. O. Ritchie and Y. Marakami (eds.),*Cyclic Loading and Fatigue*. Vol. 5. A. Saxena (ed.),*Creep and High-Temperature Failure*. Vol. 6. J. Petit and P. Scott (eds.),*EnvironmentallyAssisted Fracture*. Vol. 7. R. A. Ainsworth and K.-H. Schwable (eds.),*Practical Failure Assessment Methods*. Vol. 8. W. Gerberich and Wei Yang (eds.),*Interfacial and Nanoscale Failure*. Vol. 9. Yin-Wing Mai and Swee-Hin Tech (eds.),*Bioengineering*. Vol. 10.*Indexes*.Google Scholar - 249.I. W. Craggs, “On the propagation of a crack in an elastic-brittle materials,”
*J. Mech. Phys. Solids.*,**8**, No. 1, 66–75 (1960).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 250.N. D. Cristescu, E. M. Craciun, and E. Soos,
*Mechanics of Elastic Composites*, CRC Press (2003).Google Scholar - 251.Yu. M. Dal’ and Z. N. Litvinenkova, “Hypercritical deformation of a plate with a crack,”
*Sov. Appl. Mech.*,**11**, No. 3, 278–284 (1975).ADSCrossRefGoogle Scholar - 252.V. A. Dekret, “Two-dimensional buckling problem for a composite reinforced with a periodical row of collinear short fibers,”
*Int. Appl. Mech.*,**42**, No. 6, 684–691 (2006).ADSCrossRefGoogle Scholar - 253.V. A. Dekret, “Plane stability problem for a composite reinforced with a periodical row of parallel fibers,”
*Int. Appl. Mech.*,**44**, No. 5, 498–504 (2008).ADSCrossRefGoogle Scholar - 254.V. A. Dekret, “Near-surface instability of composites weakly reinforced with short fibers,”
*Int. Appl. Mech.*,**44**, No. 6, 619–625 (2008).ADSMathSciNetCrossRefGoogle Scholar - 255.M. Sh. Dyshel’, “Failure in thin plate with a slit,”
*Sov. Appl. Mech.*,**14**, No. 9, 1010–1012 (1978).Google Scholar - 256.M. Sh. Dyshel’, “Stability under tension of thin plates with cracks,”
*Sov. Appl. Mech.*,**14**, No. 11, 1169–1172 (1978).ADSzbMATHCrossRefGoogle Scholar - 257.M. Sh. Dyshel’, “Fracture of plates with cracks under tension after loss of stability,”
*Sov. Appl. Mech.*,**17**, No. 4, 371–375 (1981).ADSCrossRefGoogle Scholar - 258.M. Sh. Dyshel’, “Stability of thin plates with cracks under biaxial tension,”
*Sov. Appl. Mech.*,**18**, No. 10, 924–928 (1982).ADSCrossRefGoogle Scholar - 259.M. Sh. Dyshel’, “Tension of a cylindrical shell with a slit,”
*Sov. Appl. Mech.*,**20**, No. 10, 941–944 (1984).ADSCrossRefGoogle Scholar - 260.M. Sh. Dyshel’, “Stability of a cracked cylindrical shell in tension,”
*Sov. Appl. Mech.*,**25**, No. 6, 542–547 (1989).ADSzbMATHCrossRefGoogle Scholar - 261.M. Sh. Dyshel’, “Stress-intensity coefficient taking account of local buckling of plates with cracks,”
*Sov. Appl. Mech.*,**26**, No. 1, 87–90 (1990).ADSzbMATHCrossRefGoogle Scholar - 262.M. Sh. Dyshel’, “Local stability loss and failure of cracked plates during the plastic deformation of materials,”
*Int. Appl. Mech.*,**30**, No. 1, 44–47 (1994).ADSCrossRefGoogle Scholar - 263.M. Sh. Dyshel’, “Tensile stability and failure of two-layer plates with cracks,”
*Int. Appl. Mech.*,**34**, No. 3, 282–286 (1998).zbMATHGoogle Scholar - 264.M. Sh. Dyshel’, “Local buckling of extended plates containing cracks and cracklike defects, subject to the influence of geometrical parameters of the plates and defects,”
*Int. Appl. Mech.*,**35**, No. 12, 1272–1276 (1999).ADSzbMATHCrossRefGoogle Scholar - 265.M. Sh. Dyshel’, “Influence of buckling of a tension plate with edge crack on fracture characteristics,”
*Int. Appl. Mech.*,**42**, No. 5, 589–592 (2006).ADSCrossRefGoogle Scholar - 266.M. Sh. Dyshel’, “Stability and fracture of plates with two edge cracks under tension,”
*Int. Appl. Mech.*,**42**, No. 11, 1303–1306 (2006).ADSCrossRefGoogle Scholar - 267.M. Sh. Dyshel’ and M. A. Mekhtiev, “Deformation of tensioned plates with cracks with allowance for local buckling,”
*Sov. Appl. Mech.*,**23**, No. 6, 586–589 (1987).ADSCrossRefGoogle Scholar - 268.M. Sh. Dyshel’ and M. A. Mekhtiev, “Failure of tensioned plates weakened by circular hole with radial cracks emanating from its contour,”
*Sov. Appl. Mech.*,**25**, No. 5, 490–493 (1989).ADSCrossRefGoogle Scholar - 269.M. Sh. Dyshel’ and O. B. Milovanova, “Method of experimentally analyzing the instability of plates with slits,”
*Sov. Appl. Mech.*,**13**, No. 5, 491–494 (1977).ADSCrossRefGoogle Scholar - 270.M. Sh. Dyshel’ and O. B. Milovanova, “Determination of the critical stresses in the case of tension of plates with a cut,”
*Sov. Appl. Mech.*,**14**, No. 12, 1330–1332 (1978).ADSCrossRefGoogle Scholar - 271.N. F. Dow and I. J. Gruntfest, “Deformation of most needed potentially possible improvements in materials for ballistic and space vehicles,” General Electric Co., Space Sci. Lab.,
*TIRS 60 SD 389*, June (1960).Google Scholar - 272.I. D. Eshelby, “The force on the elastic singularity,”
*Phil. Trans. Roy. Soc.*,*Ser. A.*,**244**, 87 (1951).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 273.G. P. Cherepanov (ed.),
*Fracture. A Topical Encyclopedia of Current Knowledge*, Krieger Publishing Company, Malabar , Florida (1998).Google Scholar - 274.N. A. Flek, “Compressive failure of fiber composites,” in:
*Advances in Applied Mechanics*, Vol. 33, Academic Press, New York (1997), pp. 43–119.Google Scholar - 275.A. E. Green, R. S. Rivlin, and R. T. Shield, “General theory of small elastic deformations superposed on finite elastic deformations,”
*Proc. Roy. Soc.*,*Ser. A.*,**211**, No. 1104, 128–154 (1952).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 276.A. A. Griffith, “The phenomena of rupture and flow in solids,”
*Phil. Trans. Roy. Soc.*,*Ser. A.*,**211**, No. 2, 163–198 (1920).Google Scholar - 277.A. N. Guz, “Investigation the stability of elastic systems by means of linearized equations of elasticity theory,”
*Sov. Appl. Mech.*,**3**, No. 2, 13–18 (1967).ADSCrossRefGoogle Scholar - 278.A. N. Guz, “The stability of orthotropic bodies,”
*Sov. Appl. Mech.*,**3**, No. 5, 17–22 (1967).ADSCrossRefGoogle Scholar - 279.A. N. Guz, “Theory of cracks in elastic bodies with initial stresses. Formulation of problems, tear cracks,”
*Sov. Appl. Mech.*,**16**, No. 12, 1015–1023 (1980).ADSzbMATHCrossRefGoogle Scholar - 280.A. N. Guz, “Theory of cracks in prestressed elastic bodies. Shear cracks and limiting cases,”
*Sov. Appl. Mech.*,**17**, No. 1, 1–8 (1981).ADSzbMATHCrossRefGoogle Scholar - 281.A. N. Guz, “Theory of cracks in prestressed highly elastic materials,”
*Sov. Appl. Mech.*,**17**, No. 2, 11–21 (1981).ADSCrossRefGoogle Scholar - 282.A. N. Guz, “Theory of cracks in elastic bodies with initial stresses (stiff materials),”
*Sov. Appl. Mech.*,**17**, No. 4, 311–315 (1981).ADSzbMATHCrossRefGoogle Scholar - 283.A. N. Guz, “Theory of cracks in elastic bodies with initial stresses (cleavage problem),”
*Sov. Appl. Mech.*,**17**, No. 5, 405–411 (1981).ADSzbMATHCrossRefGoogle Scholar - 284.A. N. Guz, “Theory of cracks in elastic bodies with initial stresses (three-dimensional static problems),”
*Sov. Appl. Mech.*,**17**, No. 6, 499–513 (1981).ADSzbMATHCrossRefGoogle Scholar - 285.A. N. Guz, “Three-dimensional problem for a disk-shaped crack in an elastic body with initial stress,”
*Sov. Appl. Mech.*,**17**, No. 11, 963–970 (1981).ADSzbMATHCrossRefGoogle Scholar - 286.A. N. Guz, “General three-dimensional static problem for cracks in an elastic body with initial stress,”
*Sov. Appl. Mech.*,**17**, No. 12, 1043–1050 (1981).ADSzbMATHCrossRefGoogle Scholar - 287.A. N. Guz, “Fracture mechanics of solids in compression along cracks,”
*Sov. Appl. Mech.*,**18**, No. 3, 213–224 (1982).ADSzbMATHCrossRefGoogle Scholar - 288.A. N. Guz, “Mechanics of fracture of solids in compression along cracks (three-dimensional problem),”
*Sov. Appl. Mech.*,**18**, No. 4, 283–293 (1982).ADSzbMATHCrossRefGoogle Scholar - 289.A. N. Guz, “Fracture mechanics of composites in compression along cracks,”
*Sov. Appl. Mech.*,**18**, No. 6, 489–493 (1982).ADSzbMATHCrossRefGoogle Scholar - 290.A. N. Guz, “Mechanics of composite material failure under axial compression (brittle failure),”
*Sov. Appl. Mech.*,**18**, No. 10, 863–872 (1982).ADSCrossRefGoogle Scholar - 291.A. N. Guz, “Mechanics of composite material failure under axial compression (plastic failure),”
*Sov. Appl. Mech.*,**18**, No. 11, 970–976 (1982).ADSzbMATHCrossRefGoogle Scholar - 292.A. N. Guz, “Continuum theory of fracture in the compression of composite materials with metallic matrix,”
*Sov. Appl. Mech.*,**18**, No. 12, 1045–1052 (1982).ADSzbMATHCrossRefGoogle Scholar - 293.A. N. Guz, “Fracture of unidirectional composite materials under the axial compression,” in:
*Fracture of Composite Materials*, Nijhoff (1982), pp. 173–182.Google Scholar - 294.A. N. Guz, “Mechanics of the brittle failure of materials with initial stress,”
*Sov. Appl. Mech.*,**19**, No. 4, 293–307 (1983).ADSCrossRefGoogle Scholar - 295.A. N. Guz, “Mechanics of composite materials with a small-scale structural flexure,”
*Sov. Appl. Mech.*,**19**, No. 5, 383–392 (1983).ADSzbMATHCrossRefGoogle Scholar - 296.A. N. Guz, “Quasiuniform states in composites with small-scale curvatures in the structure,”
*Sov. Appl. Mech.*,**19**, No. 6, 479–489 (1983).ADSzbMATHCrossRefGoogle Scholar - 297.A. N. Guz, “Three-dimensional theory of stability of elastic-viscous-plastic bodies,”
*Sov. Appl. Mech.*,**20**, No. 6, 512–516 (1984).ADSzbMATHCrossRefGoogle Scholar - 298.A. N. Guz, “Foundations of mechanics of brittle fracture of materials with initial stresses,” in:
*Proc. 6th ICF6*, India (1984), pp. 1223–1230.Google Scholar - 299.A. N. Guz, “Three-dimensional stability theory of deformed bodies. Internal instability,”
*Sov. Appl. Mech.*,**21**, No. 11, 1023–1034 (1985).ADSzbMATHCrossRefGoogle Scholar - 300.A. N. Guz, “Three-dimensional stability theory of deformable bodies. Surface instability,”
*Sov. Appl. Mech.*,**22**, No. 1, 17–26 (1986).ADSzbMATHCrossRefGoogle Scholar - 301.A. N. Guz, “Three-dimensional stability theory of deformable bodies. Stability of construction elements,”
*Sov. Appl. Mech.*,**22**, No. 2, 97–107 (1986).ADSzbMATHCrossRefGoogle Scholar - 302.A. N. Guz, “Continuous theory of failure of composite materials under compression in the case of a complex stresses state,”
*Sov. Appl. Mech.*,**22**, No. 4, 301–315 (1986).ADSzbMATHCrossRefGoogle Scholar - 303.A. N. Guz, “Criterion of brittle fracture near stress raisers in composites in compression,”
*Sov. Appl. Mech.*,**22**, No. 12, 1148–1154 (1986).ADSCrossRefGoogle Scholar - 304.A. N. Guz, “Continuous theory of failure of composite materials with buckling at the ends (brittle fracture),”
*Sov. Appl. Mech.*,**23**, No. 1, 52–60 (1987).ADSzbMATHCrossRefGoogle Scholar - 305.A. N. Guz, “Continuous theory of failure of composite materials with buckling at the ends (plastic failure),”
*Sov. Appl. Mech.*,**23**, No. 5, 411–417 (1987).ADSCrossRefGoogle Scholar - 306.A. N. Guz, “Theory of delayed fracture of composite in compression,”
*Sov. Appl. Mech.*,**24**, No. 5, 431–438 (1988).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 307.A. N. Guz, “Construction of a theory of failure of composites in triaxial and biaxial compression,”
*Sov. Appl. Mech.*,**25**, No. 1, 29–33 (1989).ADSMathSciNetCrossRefGoogle Scholar - 308.A. N. Guz, “General case of the plane problem of the mechanics of fracture of solids in compression along cracks,”
*Sov. Appl. Mech.*,**25**, No. 6, 548–552 (1989).ADSzbMATHCrossRefGoogle Scholar - 309.A. N. Guz, “On construction of mechanics of fracture of materials in compression along the cracks,” in:
*ICF7. Advance in Fracture Research*, Vol. 6, Pergamon Press (1990), pp. 3881–3892.Google Scholar - 310.A. N. Guz, “Principles of the continual theory of plastic fracture of unidirectional fiber composite materials with metallic matrix under compression,”
*Sov. Appl. Mech.*,**26**, No. 1, 1–8 (1990).ADSzbMATHCrossRefGoogle Scholar - 311.A. N. Guz, “Plastic failure of unidirectional fibrous composite material with metal matrix in compression,” in:
*Mechanical Identification of Composite*, Elsevier, London–New York (1991), pp. 278–286.CrossRefGoogle Scholar - 312.A. N. Guz, “Continual theory of fracture of composite materials at bearing strain of end faces in compression,” in:
*Proc. of Conf. on Fracture of Engineering Materials and Structures*, Elsevier, Singapore (1991), pp. 838–843.Google Scholar - 313.A. N. Guz, “Construction of a theory of the local instability of unidirectional fiber composites,”
*Int. Appl. Mech.*,**28**, No. 1, 18–24 (1992).ADSzbMATHCrossRefGoogle Scholar - 314.A. N. Guz, “Fracture of fibrous composites at bearing strain in end faces in compression,” in:
*Proc. 2nd Int. Symp. on Composite Materials and Structures*, Beijing, China (1992), pp. 232–236.Google Scholar - 315.A. N. Guz, “Construction of fracture mechanics for materials subjected to compression along cracks,”
*Int. Appl. Mech.*,**28**, No. 10, 633–639 (1992).ADSzbMATHCrossRefGoogle Scholar - 316.A. N. Guz, “Fracture of fibrous composites at bearing strain in end faces in compression,” in:
*Proc. ICCM/9 Composites and Applications*, Vol. VI, Madrid, July 12–16 (1993), pp. 613–618.Google Scholar - 317.A. N. Guz, “Continual theory of fracture of composite materials at bearing strain in end faces in compression,” in:
*Mechanisms and Mechanics of Composites Fracture*, ASM Inter., Material Park (1993), pp. 201–207.Google Scholar - 318.A. N. Guz, “The study and analysis of non-classical problems of fracture and failure mechanics,” in:
*Abstracts of IUTAM Symp. of Nonlinear Analysis of Fracture*, Cambridge, September 3–7 (1995), pp. 19–19.Google Scholar - 319.A. N. Guz, “Stability theory for unidirectional fiber reinforced composites,”
*Int. Appl. Mech.*,**32**, No. 8, 577–586 (1996).ADSzbMATHCrossRefGoogle Scholar - 320.A. N. Guz, “On failure propagation in composite materials in compression (Three-dimensional continual theory),” in:
*Proc. ECF 11*, September 3–6, Vol. III, Poitiers–Futuroscope, France (1996), pp. 1769–1774.Google Scholar - 321.A. N. Guz, “Non-classical problems of composite failure,” in:
*Proc. ICCST/1*, June 18–20, Durban, South. Africa (1996), pp. 161–166.Google Scholar - 322.A. N. Guz, “On the development of brittle-fracture mechanics of materials with initial stresses,”
*Int. Appl. Mech.*,**32**, No. 4, 316–323 (1996).ADSzbMATHCrossRefGoogle Scholar - 323.A. N. Guz, “Non-classical problems of composite failure,” in:
*Proc. ICF9 Advance in Fracture Research*, Vol. 4, Sydney, Australia (1997), pp. 1911–1921.Google Scholar - 324.A. N. Guz, “The fracture theory of composite at bearing strain in end faces,” in:
*Proc. Conf. Composite Construction and Innovation*, September 16–18, Innsbruck, Austria (1997), pp. 783–788.Google Scholar - 325.A. N. Guz, “Some modern problems of physical mechanics of fracture,” in:
*Fracture. A Topical Encyclopedia of Current Knowledge*, Krieger Publ. Company, Malabar, Florida (1998), pp. 709–720.Google Scholar - 326.A. N. Guz, “Conditions of hyperbolicity and mechanics of failure of composites in compression,”
*ZAMM.*,**78**, Sup. 1, 427–428 (1998).Google Scholar - 327.A. N. Guz, “On the singularities in problems of brittle fracture mechanics in case of initial (residual) stresses along the cracks,” in:
*Proc. 3rd Int. Conf. on Nonlinear Mechanics*, Shanghai, China (1998), pp. 219–223.Google Scholar - 328.A. N. Guz, “Order of singularity in problems of the mechanics of brittle fracture of materials with initial stresses,”
*Int. Appl. Mech.*,**34**, No. 2, 103–107 (1998).zbMATHGoogle Scholar - 329.A. N. Guz,
*Study and Analysis of Non-classical Problems of Fracture and Failure Mechanics and Corresponding Mechanisms*, Institute of Mechanics, Lecture, HANOI (1998).Google Scholar - 330.A. N. Guz, “Dynamic problems of the mechanics of the brittle fracture of materials with initial stresses for moving cracks. 1. Problem statement and general relationships,”
*Int. Appl. Mech.*,**34**, No. 12, 1175–1186 (1998).ADSCrossRefGoogle Scholar - 331.A. N. Guz, “Dynamic problems of the mechanics of the brittle fracture of materials with initial stresses for moving cracks. 2. Cracks of normal separation (Mode I),”
*Int. Appl. Mech.*,**35**, No. 1, 1–12 (1999).ADSzbMATHCrossRefGoogle Scholar - 332.A. N. Guz, “Dynamic problems of the mechanics of the brittle fracture of materials with initial stresses for moving cracks. 3. Transverse-shear (Mode II) and longitudinal-shear (Mode III) cracks,”
*Int. Appl. Mech.*,**35**, No. 2, 109–119 (1999).ADSzbMATHCrossRefGoogle Scholar - 333.A. N. Guz, “Dynamic problems of the mechanics of the brittle fracture of materials with initial stresses for moving cracks. 4. Wedge problems,”
*Int. Appl. Mech.*,**35**, No. 3, 225–232 (1999).ADSCrossRefGoogle Scholar - 334.A. N. Guz,
*Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies*, Springer, Berlin–Hiedelberg–New York (1999).zbMATHCrossRefGoogle Scholar - 335.A. N. Guz, “On the plastic failure of unidirectional fibrous composite materials with metal matrix in compression. Continuum approximation,” in:
*Proc. ICCE/6*, June 27–July 3, Orlando, Florida, USA (1999), pp. 279–280.Google Scholar - 336.A. N. Guz, “Description and study of some nonclassical problems of fracture mechanics and related mechanisms,”
*Int. Appl. Mech.*,**36**, No. 12, 1537–1564 (2000).ADSCrossRefGoogle Scholar - 337.A. N. Guz, “Construction of the three-dimensional theory of stability of deformable bodies,”
*Int. Appl. Mech.*,**37**, No. 1, 1–37 (2001).ADSCrossRefGoogle Scholar - 338.A. N. Guz, “Elastic waves in bodies with initial (residual) stresses,”
*Int. Appl. Mech.*,**38**, No. 1, 23–59 (2002).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 339.A. N. Guz, “Critical phenomena in cracking of the interface between two prestressed materials. 1. Problem formulation and basic relations,”
*Int. Appl. Mech.*,**38**, No. 4, 423–431 (2002).ADSCrossRefGoogle Scholar - 340.A. N. Guz, “Critical phenomena in cracking of the interface between two prestressed materials. 2. Exact solution. The case of unequal roots,”
*Int. Appl. Mech.*,**38**, No. 5, 548–555 (2002).ADSzbMATHCrossRefGoogle Scholar - 341.A. N. Guz, “Critical phenomena in cracking of the interface between two prestressed materials. 3. Exact solution. The case of equal roots,”
*Int. Appl. Mech.*,**38**, No. 6, 693–700 (2002).ADSzbMATHCrossRefGoogle Scholar - 342.A. N. Guz, “Critical phenomena in cracking of the interface between two prestressed materials. 4. Exact solution. The combined case of unequal and equal roots,”
*Int. Appl. Mech.*,**38**, No. 7, 806–814 (2002).ADSCrossRefGoogle Scholar - 343.A. N. Guz, “Comments on ‘Effects of prestress on crack-tip fields in elastic incompressible solids’,”
*Int. J. Solids Struct.*,**40**, No. 5, 1333–1334 (2003).CrossRefGoogle Scholar - 344.A. N. Guz, “Establishing the fundamentals of the theory of stability of mine working,”
*Int. Appl. Mech.*,**39**, No. 1, 20–48 (2003).ADSCrossRefGoogle Scholar - 345.A. N. Guz, “On one two-level model in the mesomechanics of compression fracture of cracked composites,”
*Int. Appl. Mech.*,**39**, No. 3, 274–285 (2003).ADSzbMATHCrossRefGoogle Scholar - 346.A. N. Guz, “On some nonclassical problems of fracture mechanics taking into account the stresses along cracks,”
*Int. Appl. Mech.*,**40**, No. 8, 937–942 (2004).ADSzbMATHCrossRefGoogle Scholar - 347.A. N. Guz, “On study of nonclassical problems of fracture and failure mechanics and related mechanisms,”
*Annals of the European Academy of Sciences*,**2006**, 35–68 (2007).Google Scholar - 348.A. N. Guz, “Three-dimensional theory of stability of a carbon nanotube in a matrix,”
*Int. Appl. Mech.*,**42**, No. 1, 19–31 (2006).ADSCrossRefGoogle Scholar - 349.A. N. Guz, “Pascal Medals Lecture (written presentation),”
*Int. Appl. Mech.*,**44**, No. 1, 6–11 (2008).zbMATHCrossRefGoogle Scholar - 350.A. N. Guz, “On study of nonclassical problems of fracture and failure mechanics and related mechanisms,”
*Int. Appl. Mech.*,**45**, No. 1, 1–31 (2009).ADSzbMATHCrossRefGoogle Scholar - 351.A. N. Guz, “On physical incorrect results in fracture mechanics,”
*Int. Appl. Mech.*,**45**, No. 10, 1041–1051 (2009).ADSzbMATHCrossRefGoogle Scholar - 352.A. N. Guz, “On the activity of the S. P. Timoshenko Institute of Mechanics in 1991–2011,”
*Int. Appl. Mech.*,**47**, No. 6, 607–626 (2011).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 353.A. N. Guz, “Stability of elastic bodies under omnidirectional compression. Review,”
*Int. Appl. Mech.*,**48**, No. 3, 241–293 (2012).ADSzbMATHCrossRefGoogle Scholar - 354.A. N. Guz and I. Yu. Babich, “Three-dimensional stability problems of composite materials and composite construction components,”
*Rozpr. Inz.*,**27**, No. 4, 613–631 (1979).zbMATHGoogle Scholar - 355.A. N. Guz and V. N. Chekhov, “Linearized theory of folding in the interior of the Earth’s crust,”
*Sov. Appl. Mech.*,**11**, No. 1, 1–10 (1975).ADSCrossRefGoogle Scholar - 356.A. N. Guz and V. N. Chekhov, “Variational method of investigating the stability of laminar semiinfinite media,”
*Sov. Appl. Mech.*,**21**, No. 7, 639–646 (1985).ADSzbMATHCrossRefGoogle Scholar - 357.A. N. Guz and V. N. Chekhov, “Investigation of surface instability of stratified bodies in three-dimensional formulation,”
*Sov. Appl. Mech.*,**26**, No. 2, 107–125 (1990).ADSzbMATHCrossRefGoogle Scholar - 358.A. N. Guz and V. N. Chekhov, “Problems of folding in the earth’s stratified crust,”
*Int. Appl. Mech.*,**43**, No. 2, 127–159 (2007).ADSCrossRefGoogle Scholar - 359.A. N. Guz, V. N. Chekhov, and V. S. Stukotilov, “Effect of anisotropy in the physicomechanical properties of a material on the surface instability of layered semiinfinite media,”
*Int. Appl. Mech.*,**33**, No. 2, 87–92 (1997).Google Scholar - 360.A. N. Guz and M. A. Cherevko, “Fracture mechanics of unidirectional fibrous composites with metal matrix under compression,”
*Theor. Appl. Frac. Mech.*,**3**, No. 2, 151–155 (1985).CrossRefGoogle Scholar - 361.A. N. Guz and M. A. Cherevko, “Stability of a biperiodic system of fibers in a matrix with finite deformations,”
*Sov. Appl. Mech.*,**22**, No. 6, 514–518 (1986).ADSCrossRefGoogle Scholar - 362.A. N. Guz and V. A. Dekret, “Interaction of two parallel short fibers in the matrix at loss of stability,”
*Comp. Model. Eng. Scie.*,**13**, No. 3, 165–170 (2006).Google Scholar - 363.A. N. Guz and V. A. Dekret, “On two models in the three-dimensional theory of stability of composites,”
*Int. Appl. Mech.*,**44**, No. 8, 839–854 (2008).ADSCrossRefGoogle Scholar - 364.A. N. Guz and V. A. Dekret, “Stability loss in nanotube reinforced composites,”
*Comp. Model. Eng. Sci.*,**49**, No. 1, 69–80 (2009).zbMATHGoogle Scholar - 365.A. N. Guz and V. A. Dekret, “Stability problem of composite material reinforced by periodic row of short fibers,”
*Comp. Model. Eng. Sci.*,**42**, No. 3, 179–186 (2009).Google Scholar - 366.A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Solution of plane problems of the three-dimensional stability of a ribbon-reinforced composite,”
*Int. Appl. Mech.*,**36**, No. 10, 1317–1328 (2000).ADSzbMATHCrossRefGoogle Scholar - 367.A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Two-dimensional stability problem for interacting short fibers in a composite: in-line arrangement,”
*Int. Appl. Mech.*,**40**, No. 9, 994–1001 (2004).ADSCrossRefGoogle Scholar - 368.A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Planar stability problem of composite weakly reinforced by short fibers,”
*Mech. Adv. Mater. Struct.*, No. 12, 313–317 (2005).CrossRefGoogle Scholar - 369.A. N. Guz, M. V. Dovzhik, and V. M. Nazarenko, “Fracture of a material compressed along a crack located at a short distance from the free surface,”
*Int. Appl. Mech.*,**47**, No. 6, 627–635 (2011).ADSzbMATHCrossRefGoogle Scholar - 370.A. N. Guz and M. Sh. Dyshel’, “Fracture of cylindrical shells with cracks in tension,”
*Theor. Appl. Fract. Mech.*, No. 4, 123–126 (1985).CrossRefGoogle Scholar - 371.A. N. Guz and M. Sh. Dyshel’, “Fracture and stability of notched thin-walled bodies in tension (Survey),”
*Sov. Appl. Mech.*,**26**, No. 11, 1023–1040 (1990).ADSzbMATHCrossRefGoogle Scholar - 372.A. N. Guz, M. Sh. Dyshel’, G. G. Kuliev, and O. B. Milovanova, “Fracture and local instability of thin-walled bodies with notches,”
*Sov. Appl. Mech.*,**17**, No. 8, 707–721 (1981).ADSzbMATHCrossRefGoogle Scholar - 373.A. N. Guz, M. Sh. Dyshel’, and V. M. Nazarenko, “Fracture and stability of materials and structural members with cracks: approaches and results,”
*Int. Appl. Mech.*,**40**, No. 12, 1323–1359 (2004).ADSCrossRefGoogle Scholar - 374.A. N. Guz and I. A. Guz, “Substantiation of a continuum theory of the fracture of laminated composite in compression,”
*Sov. Appl. Mech.*,**24**, No. 7, 648–657 (1988).ADSzbMATHCrossRefGoogle Scholar - 375.A. N. Guz and I. A. Guz, “Foundation for the continual theory of fracture during compression of laminar composites with a metal matrix,”
*Sov. Appl. Mech.*,**24**, No. 11, 1041–1047 (1988).ADSzbMATHCrossRefGoogle Scholar - 376.A. N. Guz and I. A. Guz, “On the theory of stability of laminated composites,”
*Int. Appl. Mech.*,**35**, No. 4, 323–329 (1999).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 377.A. N. Guz and I. A. Guz, “Analytical solution of stability problem for two composite half-plane compressed along interfacial cracks,”
*Composites. Part B.*,**31**, No. 5, 405–418 (2000).CrossRefGoogle Scholar - 378.A. N. Guz and I. A. Guz, “The stability of the interface between two bodies compressed along interface cracks. 1. Exact solution for the case of unequal roots,”
*Int. Appl. Mech.*,**36**, No. 4, 482–491 (2000).ADSzbMATHCrossRefGoogle Scholar - 379.A. N. Guz and I. A. Guz, “The stability of the interface between two bodies compressed along interface cracks. 1. Exact solution for the case of equal roots,”
*Int. Appl. Mech.*,**36**, No. 5, 615–622 (2000).ADSzbMATHCrossRefGoogle Scholar - 380.A. N. Guz and I. A. Guz, “The stability of the interface between two bodies compressed along interface cracks. 3. Exact solution for the case of equal and unequal roots,”
*Int. Appl. Mech.*,**36**, No. 6, 759–768 (2000).ADSzbMATHCrossRefGoogle Scholar - 381.A. N. Guz and I. A. Guz, “On publications on the brittle fracture mechanics of prestressed materials,”
*Int. Appl. Mech.*,**39**, No. 7, 797–801 (2003).ADSCrossRefGoogle Scholar - 382.A. N. Guz and I. A. Guz, “Mixed plane problems of linearized solids mechanics. Exact solutions,”
*Int. Appl. Mech.*,**40**, No. 1, 1–29 (2004).ADSzbMATHCrossRefGoogle Scholar - 383.A. N. Guz and I. A. Guz, “On models in the theory of stability of multi-walled carbon nanotubes,”
*Int. Appl. Mech.*,**42**, No. 6, 617–628 (2006).ADSCrossRefGoogle Scholar - 384.A. N. Guz, I. A. Guz, A. V. Men’shikov, and V. A. Men’shikov, “Penny-shaped crack at the interface between elastic half-space under the action of a shear wave,”
*Int. Appl. Mech.*,**45**, No. 5, 534–539 (2009).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 385.A. N. Guz and Yu. I. Khoma, “Stability of an infinite solid with a circular cylindrical crack under compression using the Treloar potential,”
*Theor. Appl. Fract. Mech.*,**39**, No. 3, 276–280 (2002).Google Scholar - 386.A. N. Guz and Yu. I. Khoma, “Integral formulation for a circular cylindrical cavity in infinite solid and finite length coaxial cylindrical crack compressed axially,”
*Theor. Appl. Fract. Mech.*,**45**, No. 2, 204–211 (2006).CrossRefGoogle Scholar - 387.A. N. Guz, Yu. I. Khoma, and V. M. Nazarenko, “On fracture of an infinite elastic body in compression along a cylindrical defect,” in:
*Proc. ICF 9 Advance in Fracture Research*, Vol. 4, Sydney, Australia (1997), pp. 2047–2054.Google Scholar - 388.A. N. Guz and Yu.V. Klyuchnikov, “Three-dimensional static problem for an elliptical crack in an elastic body with initial stress,”
*Sov. Appl. Mech.*,**20**, No. 10, 898–907 (1984).ADSzbMATHCrossRefGoogle Scholar - 389.A. N. Guz, V. L. Knyukh, and V. M. Nazarenko, “Three-dimensional axisymmetric problem of fracture in material with two discoidal cracks under compression along latter,”
*Sov. Appl. Mech.*,**20**, No. 11, 1003–1012 (1984).ADSzbMATHCrossRefGoogle Scholar - 390.A. N. Guz, V. L. Knyukh, and V. M. Nazarenko, “Cleavage of composite materials in compression along internal and surface macrocracks,”
*Sov. Appl. Mech.*,**22**, No. 11, 1047–1051 (1986).ADSCrossRefGoogle Scholar - 391.A. N. Guz, V. L. Knyukh, and V. M. Nazarenko, “Fracture of ductile materials in compression along two parallel disk-shaped cracks,”
*Sov. Appl. Mech.*,**24**, No. 2, 112–117 (1988).ADSzbMATHCrossRefGoogle Scholar - 392.A. N. Guz, V. L. Knyukh, and V. M. Nazarenko, “Compressive failure of material with two parallel cracks: small and large deformation,”
*Theor. Appl. Fract. Mech.*,**11**, No. 3, 213–223 (1989).CrossRefGoogle Scholar - 393.A. N. Guz, V. P. Korzh, and V. N. Chekhov, “Instability of layered bodies during compression taking into account the action of disturbated surface loads,”
*Sov. Appl. Mech.*,**25**, No. 5, 435–442 (1989).ADSzbMATHCrossRefGoogle Scholar - 394.A. N. Guz, V. P. Korzh, and V. N. Chekhov, “Surface instability of a laminar medium connected with a homogeneous half-space under multilateral compression,”
*Sov. Appl. Mech.*,**26**, No. 3, 215–222 (1990).ADSzbMATHCrossRefGoogle Scholar - 395.A. N. Guz, V. P. Korzh, and V. N. Chekhov, “Stability of a laminar half-plane of regular structure under uniform compression,”
*Sov. Appl. Mech.*,**27**, No. 8, 744–749 (1991).ADSzbMATHCrossRefGoogle Scholar - 396.A. N. Guz, A. A. Kritsuk, and R. F. Emel’yanov, “Character of the failure of unidirectional glass-reinforced plastic in compression,”
*Sov. Appl. Mech.*,**5**, No. 9, 997–999 (1969).ADSCrossRefGoogle Scholar - 397.A. N. Guz, G. G. Kuliev, and I. A. Tsurpal, “Theory of the rupture of thin bodies with cracks,”
*Sov. Appl. Mech.*,**11**, No. 5, 485–487 (1975).ADSCrossRefGoogle Scholar - 398.A. N. Guz, G. G. Kuliev, and I. A. Tsurpal, “On failure of brittle materials because of grippling near cracks,” in:
*Abstracts 14th IUTAM Congr.*, Delft (1976), p. 90.Google Scholar - 399.A. N. Guz, G. G. Kuliev, and I. A. Tsurpal, “On fracture of brittle materials from loss of stability near crack,”
*Eng. Fract. Mech.*,**10**, No. 2, 401–408 (1978).CrossRefGoogle Scholar - 400.A. N. Guz and Yu. N. Lapusta, “Stability of a fiber near a free surface,”
*Sov. Appl. Mech.*,**22**, No. 8, 711–718 (1986).ADSzbMATHCrossRefGoogle Scholar - 401.A. N. Guz and Yu. N. Lapusta, “Stability of a fiber near a free cylindrical surface,”
*Sov. Appl. Mech.*,**24**, No. 10, 939–944 (1988).ADSzbMATHCrossRefGoogle Scholar - 402.A. N. Guz and Yu. N. Lapusta, “Three-dimensional problem on the stability of a row of fibers perpendicular to the free boundary of a matrix,”
*Int. Appl. Mech.*,**30**, No. 12, 919–926 (1994).ADSzbMATHCrossRefGoogle Scholar - 403.A. N. Guz and Yu. N. Lapusta, “Three-dimensional problems of the near-surface instability of fiber composites in compression (Model of a piecewise-uniform medium) (Survey),”
*Int. Appl. Mech.*,**35**, No. 7, 641–670 (1999).ADSzbMATHCrossRefGoogle Scholar - 404.A. N. Guz, Yu. N. Lapusta, and Yu. A. Mamzenko, “Stability of a two fibers in an elasto-plastic matrix under compression,”
*Int. Appl. Mech.*,**34**, No. 5, 405–413 (1998).Google Scholar - 405.A. N. Guz, Yu. N. Lapusta, and A. N. Samborskaya, “A micromechanics solution of a 3D internal instability problem for a fiber series on an infinite matrix,”
*Int. J. Fract.*,**116**, No. 3, L55–L60 (2002).CrossRefGoogle Scholar - 406.A. N. Guz, Yu. N. Lapusta, and A. N. Samborskaya, “3D model and estimation of fiber interaction effects during internal instability in non-linear composites,”
*Int. J. Fract.*,**134**, No. 3-4, L45–L51 (2005).zbMATHCrossRefGoogle Scholar - 407.A. N. Guz, A. V. Menshikov, and V. V. Zozulya, “Surface contact of elliptical crack under normally incident tension-compression wave,”
*Theor. Appl. Fract. Mech.*,**40**, No. 3, 285–291 (2003).CrossRefGoogle Scholar - 408.A. N. Guz, A. V. Menshikov, V. V. Zozulya, and I. A. Guz, “Contact problem for the plane elliptical crack under normally incident shear wave,”
*Comp. Model. Eng. Sci.*,**17**, No. 3, 205–214 (2007).zbMATHGoogle Scholar - 409.A. N. Guz and D. A. Musaev, “Fracture of a unidirectional ribbon composite with elasto-plastic matrix in compression,”
*Sov. Appl. Mech.*,**26**, No. 5, 425–429 (1990).ADSzbMATHCrossRefGoogle Scholar - 410.A. N. Guz, D. A. Musaev, and Ch. A. Yusubov, “Stability of two noncircular cylinder in an elastic matrix with small subcritical strains,”
*Sov. Appl. Mech.*,**25**, No. 11, 1059–1064 (1989).ADSzbMATHCrossRefGoogle Scholar - 411.A. N. Guz and V. M. Nazarenko, “Symmetric failure of the halfspace with penny-shaped crack in compression,”
*Theor. Appl. Fract. Mech.*,**3**, No. 3, 233–245 (1985).CrossRefGoogle Scholar - 412.A. N. Guz and V. M. Nazarenko, “Fracture of a material in compression along a periodic system of parallel circular cracks,”
*Sov. Appl. Mech.*,**23**, No. 4, 371–377 (1987).ADSCrossRefGoogle Scholar - 413.A. N. Guz and V. M. Nazarenko, “Fracture mechanics of material in compression along cracks (Review). Highly elastic materials,”
*Sov. Appl. Mech.*,**25**, No. 9, 851–876 (1989).ADSzbMATHCrossRefGoogle Scholar - 414.A. N. Guz and V. M. Nazarenko, “Fracture mechanics of materials under compression along cracks (survey). Structural materials,”
*Sov. Appl. Mech.*,**25**, No. 10, 959–972 (1989).ADSzbMATHCrossRefGoogle Scholar - 415.A. N. Guz, V. M. Nazarenko, and V. L. Bogdanov, “Fracture under initial stresses acting along cracks: Approach, concept and results,”
*Theor. Appl. Fract. Mech.*,**48**, 285–303 (2007).CrossRefGoogle Scholar - 416.A. N. Guz, V. M. Nazarenko, and V. L. Bogdanov, “Combined analysis of fracture under stress acting along cracks,”
*Archive Appl. Mech.*,**83**, No. 9, 1273–1293 (2013).ADSzbMATHCrossRefGoogle Scholar - 417.A. N. Guz, V. M. Nazarenko, and Yu. I. Khoma, “Failure of an infinite compressible composite containing a finite cylindrical crack in axial compression,”
*Int. Appl. Mech.*,**31**, No. 9, 695–703 (1995).ADSzbMATHCrossRefGoogle Scholar - 418.A. N. Guz, V. M. Nazarenko, and Yu. I. Khoma, “Fracture of an infinite incompressible hyperelastic material under compression along a cylindrical crack,”
*Int. Appl. Mech.*,**32**, No. 5, 325–331 (1996).ADSzbMATHCrossRefGoogle Scholar - 419.A. N. Guz, V. M. Nazarenko, and S. M. Nazarenko, “Fracture of composites under compression along periodically placed parallel circular stratifications,”
*Sov. Appl. Mech.*,**25**, No. 3, 215–121 (1989).ADSzbMATHCrossRefGoogle Scholar - 420.A. N. Guz, V. M. Nazarenko, and V. A. Nikonov, “Torsion of a pre-stresses halfspace with a disc-shaped crack at the surface,”
*Sov. Appl. Mech.*,**27**, No. 10, 948–954 (1991).ADSzbMATHCrossRefGoogle Scholar - 421.A. N. Guz, V. M. Nazarenko, and I. P. Starodubtsev, “Planar problem of failure of structural materials in compression along two parallel cracks,”
*Sov. Appl. Mech.*,**27**, No. 4, 352–360 (1991).ADSzbMATHCrossRefGoogle Scholar - 422.A. N. Guz, V. M. Nazarenko, and I. P. Starodubtsev, “On problems of fracture of materials in compression along two internal parallel cracks,”
*Appl. Math. Mech.*,**18**, No. 6, 517–528 (1997).zbMATHCrossRefGoogle Scholar - 423.A. N. Guz and J. J. Rushchitskii,
*Short Introduction to Mechanics of Nanocomposites*, Scientific&Academic Publishing Co., LTD, USA (2013).Google Scholar - 424.A. N. Guz, J. J. Rushchitskii, and I. A. Guz, “Establishing fundamentals of the mechanics of nanocomposites,”
*Int. Appl. Mech.*,**43**, No. 3, 247–271 (2007).ADSCrossRefGoogle Scholar - 425.A. N. Guz and A. N. Samborskaya, “General stability problem of a series of fibers in an elastic matrix,”
*Sov. Appl. Mech.*,**27**, No. 3, 223–230 (1991).ADSzbMATHCrossRefGoogle Scholar - 426.A. N. Guz and A. N. Sporykhin, “Three-dimensional theory of inelastic stability (General questions),”
*Sov. Appl. Mech.*,**18**, No. 7, 581–596 (1982).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 427.A. N. Guz and A. N. Sporykhin, “Three-dimensional theory of inelastic stability. Specific results,”
*Sov. Appl. Mech.*,**18**, No. 8, 671–692 (1982).ADSzbMATHCrossRefGoogle Scholar - 428.A. N. Guz, E. A. Tkachenko, and V. N. Chekhov, “Stability of layered antifriction coating,”
*Int. Appl. Mech.*,**32**, No. 9, 669–676 (1996).ADSzbMATHCrossRefGoogle Scholar - 429.A. N. Guz, E. A. Tkachenko, V. N. Chekhov, and V. S. Stukotilov, “Stability of multilayer antifriction coating for small subcritical strains,”
*Int. Appl. Mech.*,**32**, No. 10, 772–779 (1996).ADSzbMATHCrossRefGoogle Scholar - 430.A. N. Guz and V. V. Zozulya, “Contact interaction between crack edges under dynamic load,”
*Int. Appl. Mech.*,**28**, No. 7, 407–417 (1992).ADSzbMATHCrossRefGoogle Scholar - 431.A. N. Guz and V. V. Zozulya, “Problems of dynamic fracture mechanics without contact of the crack faces,”
*Int. Appl. Mech.*,**30**, No. 10, 735–759 (1994).ADSCrossRefGoogle Scholar - 432.A. N. Guz and V. V. Zozulya, “Problems of dynamic fracture mechanics without allowance for contact of the crack edges,”
*Int. Appl. Mech.*,**31**, No. 1, 1–31 (1995).ADSzbMATHCrossRefGoogle Scholar - 433.A. N. Guz and V. V. Zozulya, “Fracture dynamic with allowance for a crack edges contact interaction,”
*Int. J. Nonlin. Sci. Numer. Simul.*,**2**, No. 3, 173–233 (2001).MathSciNetzbMATHCrossRefGoogle Scholar - 434.A. N. Guz and V. V. Zozulya, “Elastodynamic unilateral contact problem with friction for bodies with cracks,”
*Int. Appl. Mech.*,**38**, No. 8, 895–932 (2002).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 435.A. N. Guz and V. V. Zozulya, “Investigation of the effect of frictional contact in III Mode crack under action of SH-wave harmonic load,”
*Comp. Model. Eng. Sci.*,**22**, No. 2, 119–128 (2007).MathSciNetzbMATHGoogle Scholar - 436.A. N. Guz and V. V. Zozulya, “On dynamical fracture mechanics in the case of polyharmonic loading by P-waves,”
*Int. Appl. Mech.*,**45**, No. 9, 1033–1036 (2009).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 437.A. N. Guz and V. V. Zozulya, “On dynamical fracture mechanics in the case of polyharmonic loading by SH-waves,”
*Int. Appl. Mech.*,**46**, No. 1, 113–116 (2010).ADSzbMATHCrossRefGoogle Scholar - 438.A. N. Guz, V. V. Zozulya, and A. V. Menshikov, “Three-dimensional dynamic contact problem for an elliptic crack interacting with normally incident harmonic compression-expansion wave,”
*Int. Appl. Mech.*,**39**, No. 12, 1425–1428 (2003).ADSCrossRefGoogle Scholar - 439.A. N. Guz, V. V. Zozulya, and A. V. Menshikov, “General spatial dynamic problem for an elliptic crack under the action of a normal shear wave, with consideration for the contact interaction of the crack faces,”
*Int. Appl. Mech.*,**40**, No. 2, 156–159 (2004).ADSCrossRefGoogle Scholar - 440.I. A. Guz, “Spatial nonaxisymmetric problems of the theory of stability of laminar highly elastic composite materials,”
*Sov. Appl. Mech.*,**25**, No. 11, 1080–1085 (1989).ADSzbMATHCrossRefGoogle Scholar - 441.I. A. Guz, “Three-dimensional nonaxisymmetric problems of the theory of stability of composite materials with metallic matrix,”
*Sov. Appl. Mech.*,**25**, No. 12, 1196–1200 (1989).ADSzbMATHCrossRefGoogle Scholar - 442.I. A. Guz, “Continuum approximation in three-dimensional nonaxisymmetyric problems of the stability theory of laminar compressible materials,”
*Sov. Appl. Mech.*,**26**, No. 3, 233–236 (1990).ADSzbMATHCrossRefGoogle Scholar - 443.I. A. Guz, “Asymptotic accuracy of the continual theory of the internal instability of laminar composites with an incompressible matrix,”
*Sov. Appl. Mech.*,**27**, No. 7, 680–684 (1991).ADSzbMATHCrossRefGoogle Scholar - 444.I. A. Guz, “Estimation of critical loading parameters for composites with imperfect layer contact,”
*Int. Appl. Mech.*,**28**, No. 5, 291–295 (1992).ADSCrossRefGoogle Scholar - 445.I. A. Guz, “Investigation of local form of stability loss in laminated composites (three-dimensional problem),” in:
*Proc. ICCM/9 Composites. Properties and Applications*, Vol. VI, Madrid, July 12–16 (1993), pp. 377–383.Google Scholar - 446.I. A. Guz, “On the local stability loss in laminated composite structures,” in:
*Proc. 6th Eur. Conf. on Comp. Mat. Development in the Science and Technology of Composite Materials*, September 20–24, 1993, Bordeaux, France–Woodhead Publ. Ltd. (1993), pp. 263–268.Google Scholar - 447.I. A. Guz, “Computational schemes in three-dimensional stability theory (the piecewise-homogeneous model of a medium) for composites with cracks between layers,”
*Int. Appl. Mech.*,**29**, No. 4, 274–280 (1993).ADSCrossRefGoogle Scholar - 448.I. A. Guz, “The strength of a composite formed by longitudinal–transverse stacking of orthotropic layers with a crack at the boundary,”
*Int. Appl. Mech.*,**29**, No. 11, 921–924 (1993).ADSCrossRefGoogle Scholar - 449.I. A. Guz, “Investigation of the stability of a composite in compression along two parallel structural cracks at the layer interface,”
*Int. Appl. Mech.*,**30**, No. 11, 841–847 (1994).ADSCrossRefGoogle Scholar - 450.I. A. Guz, “On one mechanism of fracture of composites in compression along interlayer cracks,” in:
*Proc. Int. Conf. on Design and Manufactoring Using Composites*, August 10–12, 1994, Montreal, Canada (1994), pp. 404–412.Google Scholar - 451.I. A. Guz, “Problems of the stability of composite materials in compression along interlaminar cracks: periodic system of parallel macrocracks,”
*Int. Appl. Mech.*,**31**, No. 7, 551–557 (1995).ADSCrossRefGoogle Scholar - 452.I. A. Guz, “Stability of composites in compression along cracks,” in:
*Proc. Enercomp 95*, May 8–10, 1995, Montreal, Canada. Technomic Publ. Co., Lancaster–Basel (1995), pp. 163–170.Google Scholar - 453.I. A. Guz, “Failure of layered composites with interface cracks,” in:
*Proc. 18th Int. Conf. Reinforced Plastics 95*, Karlovy Vary, 16–18.05.1995, Czech. Rep. (1995), pp. 175–182.Google Scholar - 454.I. A. Guz, “Stability and failure of layered composites with interface cracks,” in:
*Proc. Int. Conf. on Comp. Eng. Sci. Computational Mechanics 95*, July 30–August 3, 1995, Vols. 1–2, Springer–Verlag, Hawaii, USA (1995), pp. 2317–2322.Google Scholar - 455.I. A. Guz, “Computer aided investigations of composites with various interlaminar cracks,”
*ZAMM.*,**76**, Sup. No. 5, 189–190 (1996).Google Scholar - 456.I. A. Guz, “Stability loss of composite materials with cracks between compressible elastic layers,” in:
*Proc. ECCM–7*, May 14–16, 1996, London, UK, Vols. 1–2, Woodhead Publ. Ltd. (1996), pp. 259–264.Google Scholar - 457.I. A. Guz, “Composite structures in compression along parallel interfacial cracks,” in:
*Proc. ICCST/1*, June 18–20, 1996, Durban, South Africa (1996), pp. 167–172.Google Scholar - 458.I. A. Guz, “Analysis of a failure mechanism in compression of composites with various kinds of interface adhesion,” in:
*Proc. EUROMAT 97*, April 21–23, 1997, The Netherlands, Vol. 2 (1997), pp. 375–380.Google Scholar - 459.I. A. Guz, “Modelling of fracture of composites in compression along layers,” in:
*Proc. 3rd Int. Conf.*, September 3–5, 1997, Dublin, Ireland, A.A. Balkema, Rotterdam (1997), pp. 523–530.Google Scholar - 460.I. A. Guz, “Metal matrix composites in compression. Substantiation of the bounds,” in:
*Proc. 5th Int. Conf. on Automated Composites*, September 4–5, 1997, Glasgow, UK, Institute of Materials, London,UK(1997), pp. 387–393.Google Scholar - 461.I. A. Guz, “Composites with various interfacial defects. Bounds for critical parameters of instability in compression,” in:
*Proc. DURACOSYS 97*, September 15–17, 1997, Blacksburg, USA (1997), pp. 7.51–7.54.Google Scholar - 462.I. A. Guz, “Instability in compression as a failure mechanism for layered composites with parallel interfacial cracks,” in:
*Proc. ICF 9 Advances in Fracture Research*, Vol. 2, Sydney, Australia (1997), pp. 1053–1060.Google Scholar - 463.I. A. Guz, “On one fracture mechanism for composites with parallel interfacial cracks,” in:
*Proc. 4th Int. Conf. on Deformation and Fracture of Composites*, March 24–26, 1997, Manchester, UK, Institute of Materials, London (1997), pp. 579–588.Google Scholar - 464.I. A. Guz, “On calculation of critical strains for periodical array of parallel interfacial cracks in layered materials,” in:
*Proc. 6th EPMESC Conf.*, August 4–7, 1997, Guang-Zhou, China (1997), pp. 375–380.Google Scholar - 465.I. A. Guz, “On fracture of brittle matrix composites: Compression along parallel interfacial cracks,” in:
*Proc. 5th Int. Symp.*, October 13–15, 1997, Warsaw, Poland, Woodhead Publ. Ltd., Cambridge (1997), pp. 391–400.Google Scholar - 466.I. A. Guz, “Numerical investigation on one mechanism of fracture for rock with parallel interlaminar cracks,” in:
*Advances in Comp. Eng. Sciences*, Tech. Science Press, Forsyth, USA (1997), pp. 956–961.Google Scholar - 467.I. A. Guz, “Composites with interlaminar imperfections: Substantiation on the bounds for failure parameters in compression,”
*Composites. Part B.*,**29**, No. 4, 343–350 (1998).CrossRefGoogle Scholar - 468.I. A. Guz, “Analysis of stability and failure in compression of composites with various kinds of interfacial defects,” in:
*Proc. 6th Asia–Pacific Conf. on Struct. Eng. Construction*, January 14–16, Taipei, Taiwan, Vol. 2 (1998), pp. 1337–1342.Google Scholar - 469.I. A. Guz, “On asymptotic accuracy of the theory of plastic fracture in compression for layered materials,” in:
*Nonlocal Aspects in Solid Mechanics*, EUROMECH Coll. 378, April 20–22, 1998, Mulhouse, France (1998), pp. 118–123.Google Scholar - 470.I. A. Guz, “Composites with various kinds of interfacial adhesion: Compression along layers,” in:
*Proc. ECCM-8*, June 3–6, 1998, Naples, Italy, Vols. 1–4, Woodhead Publ. Ltd., Vol. 4, (1998), pp. 677–683.Google Scholar - 471.I. A. Guz, “On continuum approximation in compressive fracture theory for metal matrix composites: Asymptotic accuracy,” in:
*Proc. ICCST/2*, June 9–11, 1998, Durban, South Africa (1998), pp. 501–506.Google Scholar - 472.I. A. Guz, “Investigation of accuracy of continuum fracture theory for piecewise-homogeneous medium,” in:
*Proc. ICNo. M-III*, August 17–20, 1998, Shanghai Univ. Press, Shanghai, China (1998), pp. 224–227.Google Scholar - 473.I. A. Guz, “On two approaches to compressive fracture problems,” in:
*Proc. 12th Eur. Conf. on Fracture*, September 14–16, 1998, Sheffield, UK, Vols. 1–3, EMAS Publ., Vol. 3 (1998), pp. 1447–1452.Google Scholar - 474.I. A. Guz, “Asymptotic analysis of fracture theory for layered rocks in compression,” in:
*Modelling and Simulation Based Engineering*, Vols. 1–2, Tech. Science Press, Palmdale, USA, Vol. 1 (1998), pp. 375–380.Google Scholar - 475.I. A. Guz, “On calculation of accuracy for continuum fracture theory of metal matrix composites in compression,” in:
*Proc. ICAC 96*, December 15–18, 1998, Hurghada, Egypt (1998), pp. 757–764.Google Scholar - 476.I. A. Guz, “On modelling of a failure mechanism for layered composites with interfacial cracks,”
*ZAMM.*,**78**, Sup. No. 1, S429–S430 (1998).Google Scholar - 477.I. A. Guz, “On estimation of critical loads for rocks in compression: 3-D approach,” in:
*Proc. ARCOM’99*, December 15–17, 1999, Singapore, Vols. 1–2, Elsevier, Vol. 2 (1999), pp. 847–852.Google Scholar - 478.I. A. Guz, “Bounds for critical parameters in the stability theory of piecewise-homogeneous media: Laminated rocks,” in:
*Proc. SASAM 2000*, January 11–13, 2000, Durban, South Africa (2000), pp. 479–484.Google Scholar - 479.I. A. Guz, “Compressive behaviour of metal matrix composites: Accuracy of homogenezation,”
*ZAMM.*,**80**, Sup. No. 2, S473–S474 (2000).Google Scholar - 480.I. A. Guz, “The effect of the multi-axiality of compressive loading on the accuracy of a continuum model for layered materials,”
*Int. J. Solids Struct.*,**42**, 439–453 (2005).zbMATHCrossRefGoogle Scholar - 481.I. A. Guz and H. W. Chandler, “Bifurcation problem for ceramics compressed along interlaminar microcracks,” in:
*Abstracts 5th Int. Congr. on Indus. and Appl. Math.*, ICIAM 2003, Sydney, Australia, July 7–11, 2003, Univ. of Techn., Sydney, Australia (2003), p. 311.Google Scholar - 482.I. A. Guz and A. N. Guz, “Stability of two different half-planes in compression along interfacial cracks: Analytical solutions,”
*Int. Appl. Mech.*,**37**, No. 7, 906–912 (2001).ADSzbMATHCrossRefGoogle Scholar - 483.I. A. Guz and K. P. Herrmann, “On the lower bounds for critical loads under large deformations in non-linear hyperelastic composites with imperfect interlaminar adhesion,”
*Eur. J. Mech.*,*A/Solids*,**22**, No. 6, 837–849 (2003).zbMATHCrossRefGoogle Scholar - 484.I. A. Guz and Yu. V. Kokhanenko, “Stability of laminated composite material in compression along microcrack,”
*Int. Appl. Mech.*,**29**, No. 9, 702–708 (1993).ADSCrossRefGoogle Scholar - 485.I. A. Guz and C. Soutis, “Continuum fracture theory for layered materials: Investigation of accuracy,”
*ZAMM.*,**35**, No. 5, 462–468 (1999).zbMATHGoogle Scholar - 486.I. A. Guz and C. Soutis, “Critical strains in layered composites with interfacial defects loaded in uniaxial or biaxial compression,”
*Plastics*,*Rubber and Composites*,**29**, No. 9, 489–495 (2000).CrossRefGoogle Scholar - 487.I. A. Guz and C. Soutis, “A 3-D stability theory applied to layered rocks undergoing finite deformations in biaxial compression,”
*Eur. J. Mech.*,*A/Solids*,**20**, No. 1, 139–153 (2001).ADSzbMATHCrossRefGoogle Scholar - 488.I. A. Guz and C. Soutis, “Accuracy of a continuum fracture theory for non-linear composite materials under large deformations in biaxial compression,”
*ZAMM.*,**81**, Sup. No. 4, S849–S850 (2001).Google Scholar - 489.I. A. Guz and C. Soutis, “Compressive fracture of non-linear composites undergoing large deformations,”
*Int. J. Solids Struc.*,**38**, No. 21, 3759–3770 (2001).zbMATHCrossRefGoogle Scholar - 490.I. A. Guz and C. Soutis, “Predicting fracture of composites,” in:
*Multi-scale Modelling of Composite Material Systems. The Art of Predictive Damage Modelling*, Woodhead Publ. Ltd, Cambridge, England (2005), pp. 278–302.CrossRefGoogle Scholar - 491.I. A. Guz and C. Soutis, “Compressive strength of laminated composites: on application of the continuum fracture theory,” in:
*Fracture and Damage of Composites*, WIT Press, Cambridge, England (2006), pp. 1–24.Google Scholar - 492.H. Katz and I. V. Milevski,
*Handbook of Fillers and Reinforcements for Plastics*, Van Nostrand Reinhold Company, New York (1978).Google Scholar - 493.T. Hayashi, “On the shear instability of structures caused by compressive loads,” in:
*Proc. 16th Japan Congr. Appl. Mech.*(1966), pp. 149–157.Google Scholar - 494.T. Hayashi, “On the shear instability of structures caused by compressive loads,”
*AIAA Paper*, No. 65, 770 (1970).Google Scholar - 495.N. J. Hoff, “Buckling and stability,”
*J. Royal Aeronautical Society*,**58**, No. 1, 1–11 (1954).Google Scholar - 496.G. R. Irwin, “Analysis of stresses and strains near end a crack traversing a plate,”
*J. Appl. Mech.*,**24**, No. 3, 361–364 (1957).Google Scholar - 497.G. R. Irwin, “Fracture,” in:
*Handbuch der Physik*, Berlin, Bd. 6 (1958), pp. 551–590.Google Scholar - 498.Ch. Jochum and J.-C. Grandidier, “Microbuckling elastic modeling approach of a single carbon fiber embedded in an epoxy matrix,”
*Compos. Sci. Technol.*,**64**, 2441–2449 (2004).CrossRefGoogle Scholar - 499.R. Kappus, “Zur Elastizitatstheorie endlicher Verschiebungen,”
*ZAMM*,**19**, No. 5, 271–285 (1939).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 500.R. Kappus, “Zur Elastizitatstheorie endlicher Verschiebungen,”
*ZAMM*,**19**, No. 6, 344–361 (1939).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 501.Yu. V. Kluchnikov, “Three-dimensional static problem for an external disk-shaped crack in an elastic body with initial stresses,”
*Sov. Appl. Mech.*,**20**, No. 2, 118–122 (1984).ADSCrossRefGoogle Scholar - 502.V. L. Knyukh, “Fracture of a material with two disk-shaped cracks in the case of axisymmetric deformation in compression along the cracks,”
*Sov. Appl. Mech.*,**21**, No. 3, 221–225 (1985).ADSzbMATHCrossRefGoogle Scholar - 503.Yu. V. Kokhanenko, “Numerical solution of problems of the theory of elasticity and the three-dimensional stability of piecewise-homogeneous media,”
*Sov. Appl. Mech.*,**22**, No. 11, 1052–1058 (1986).ADSzbMATHCrossRefGoogle Scholar - 504.Yu. V. Kokhanenko, “Numerical study of the three-dimensional stability problems for laminated and ribbon-reinforced composites,”
*Int. Appl. Mech.*,**37**, No. 3, 317–340 (2001).ADSMathSciNetCrossRefGoogle Scholar - 505.V. P. Korzh and V. N. Chekhov, “Surface instability of laminated bodies of regular structure under combination loading,”
*Sov. Appl. Mech.*,**27**, No. 5, 443–449 (1991).ADSzbMATHCrossRefGoogle Scholar - 506.V. P. Korzh and V. N. Chekhov, “Combined analysis of internal and surface instability in laminar bodies of regular structure,”
*Sov. Appl. Mech.*,**27**, No. 11, 1058–1063 (1991).ADSzbMATHCrossRefGoogle Scholar - 507.V. P. Korzh and V. N. Chekhov, “Surface instability of laminated materials of regular structure under triaxial compression,”
*Int. Appl. Mech.*,**38**, No. 9, 1119–1124 (2002).ADSzbMATHCrossRefGoogle Scholar - 508.G. G. Kuliev, “Theory of stability of bodies with a crack in the case of plane deformation,”
*Sov. Appl. Mech.*,**13**, No. 12, 1235–1239 (1977).ADSzbMATHCrossRefGoogle Scholar - 509.G. G. Kuliev, “Effect of the form of external loads on the loss of stability of the state of equilibrium of half-space near a central vertical crack,”
*Sov. Appl. Mech.*,**15**, No. 10, 1001–1002 (1979).ADSCrossRefGoogle Scholar - 510.G. G. Kuliev, “Problems of stability loss of half-space with a crack of infinite depth,”
*Sov. Appl. Mech.*,**14**, No. 8, 815–819 (1978).ADSzbMATHCrossRefGoogle Scholar - 511.M. Kurashide, “Circular crack problem for initially stressed neo-Hookean solid,”
*ZAMM.*,**49**, No. 2, 671–678 (1969).ADSCrossRefGoogle Scholar - 512.Yu. N. Lapusta, “Fiber stability in a semiinfinite elastic matrix with highly elastic deformation,”
*Sov. Appl. Mech.*,**23**, No. 8, 718–721 (1987).ADSCrossRefGoogle Scholar - 513.Yu. N. Lapusta, “Stability of fibers near the free surface of a cavity during finite precritical strains,”
*Sov. Appl. Mech.*,**24**, No. 5, 453–457 (1988).ADSzbMATHCrossRefGoogle Scholar - 514.Yu. N. Lapusta, “Surface instability of two fibers in a matrix,”
*Sov. Appl. Mech.*,**26**, No. 8, 739–744 (1990).ADSzbMATHCrossRefGoogle Scholar - 515.Yu. N. Lapusta, “Stability of a fiber in semi-infinite elastic matrix with sliding contact at the interface,”
*Sov. Appl. Mech.*,**26**, No. 10, 924–928 (1990).ADSzbMATHCrossRefGoogle Scholar - 516.Yu. N. Lapusta, “Stability of a periodic series of fibers in a semi-infinite matrix,”
*Sov. Appl. Mech.*,**27**, No. 2, 124–130 (1991).ADSzbMATHCrossRefGoogle Scholar - 517.Yu. N. Lapusta, “Stability of a row of fibers near the free plane border in matrix in axial compression,” in:
*Abstracts 1st European Solid Mechanics Conf.*, Munich, FRG, September 9–13 (1991), pp. 131–132.Google Scholar - 518.Yu. N. Lapusta, “Stability of a fiber in an elastoplastic matrix near a free cylindrical surface,”
*Int. Appl. Mech.*,**28**, No. 1, 33–41 (1992).ADSzbMATHCrossRefGoogle Scholar - 519.Yu. N. Lapusta, “Near-the-surface fracture of fibrous materials in compression,” in:
*Abstracts ICF-8*, Part II, Kiev, Ukraine (1993), pp. 393–394.Google Scholar - 520.Yu. N. Lapusta, “On stability loss of fibers in composite materials near the boundaries,” in:
*Proc. ECF 11*, September 3–6, 1996, Poitiers, France, Vol. III (1996), pp. 1633–1638.Google Scholar - 521.Yu. N. Lapusta, “Study of near-surface buckling of composite materials in zones of compression (model of a piecewise-uniform medium),” in:
*Proc. ICCST/2*, June 9–11, 1998, Durban, South Africa (1998), pp. 145–148.Google Scholar - 522.Yu. N. Lapusta, “A general micromechanical approach to the study of the near-surface buckling in fibrous composites,” in:
*Proc. ECF 12*, 13–18.09.1998, Sheffield, UK, Vol. 13 (1998), pp. 1477–1482.Google Scholar - 523.Yu. N. Lapusta, “Prediction of compressive strength of fiber-reinforced composite based on 3-D microlevel consideration,” in:
*Proc. ARQUIMACOM 98*, 7–9.10.1998, Bordeaux, France (1998), pp. 165–169.Google Scholar - 524.Yu. N. Lapusta, “A 3-D model for possible micro-instability patterns in a boundary layer of a fibre composite under compression,”
*Comp. Sci. Technol.*,**62**, 805–817 (2002).CrossRefGoogle Scholar - 525.Yu. N. Lapusta and W. Wagner, “An estimation on the influence of matrix cavity and damaged fibre-matrix interface on stability of composites,”
*ZAMM.*,**81**, 855–856 (2001).zbMATHGoogle Scholar - 526.Yu. N. Lapusta and W. Wagner, “On various material and fibre-matrix interface models in the near-surface instability problems for fibrous composites,”
*Composites Part A: Appl. Sci. Manufact.*,**32**, 413–423 (2001).CrossRefGoogle Scholar - 527.Yu. N. Lapusta and W. Wagner, “A numerical estimation of the effects of a cylindrical hole and imperfect bounding on stability of a fiber in an elastic matrix,”
*Int. J. Num. Meth. Eng.*,**51**, 631–646 (2001).zbMATHCrossRefGoogle Scholar - 528.A. V. Men’shikov, “Elastodynamics contact problem for two penny-shaped cracks,” in:
*Abstr. and Proc. 21st ICTAM 04*, Warsaw, Poland (2004), p. 262.Google Scholar - 529.A. V. Men’shikov and I. A. Guz, “Contact interaction of crack faces under oblique incidence of a harmonic wave,”
*Int. J. Fract.*, 139, No. 1, 145–152 (2006).Google Scholar - 530.A. V. Men’shikov and I. A. Guz, “Effect of the contact interaction on the stress intensity factors for a crack under harmonic loading,”
*Appl. Mech. Mater.*, 5–6, 174–180 (2006).Google Scholar - 531.A. V. Men’shikov and I. A. Guz, “Effect of contact interaction of the crack faces for a crack under harmonic loading,”
*Int. Appl. Mech.*,**43**, No. 7, 809–815 (2007).ADSCrossRefGoogle Scholar - 532.A. V. Men’shikov, M. V. Men’shikova, and W. L. Wendland, “On use of the Galerkin method to solve the fracture mechanics problem for a linear crack under normal loading,”
*Int. Appl. Mech.*,**41**, No. 11, 1324–1328 (2005).ADSMathSciNetCrossRefGoogle Scholar - 533.V. A. Men’shikov, A. V. Men’shikov, and I. A. Guz, “Interfacial crack between elastic half-spaces under harmonic loading,”
*Int. Appl. Mech.*,**43**, No. 8, 865–873 (2007).ADSMathSciNetCrossRefGoogle Scholar - 534.A. N. Guz (guest ed.), “Micromechanics of composite materials: Focus on Ukrainian research,”
*Appl. Mech. Reviews*,**45**, No. 2, 13–101 (1992). A. N. Guz, Introduction, 14–15. About the authors, 16. S. D. Akbarov and A. N. Guz, “Statics of laminated and fibrous composites,” 17–34. A. N. Guz and N. A. Shul’ga, “Dynamics of laminated and fibrous composites,” 35–60. I. Yu. Babich and A. N. Guz, “Stability of fibrous composites,” 61–80. A. N. Guz and V. N. Chekhov, “Stability of laminated composites,” 81–101.Google Scholar - 535.V. V. Mikhas’kiv, J. Sladek, V. Sladek, and A. I. Stepanyuk, “Stress concentration near an elliptic crack in the interface between elastic bodies under steady-state vibration,”
*Int. Appl. Mech.*,**40**, No. 6, 664–671 (2004).ADSCrossRefGoogle Scholar - 536.O. B. Milovanova and M. Sh. Dyshel’, “Experimental investigation of the buckling form of tensioned plates with a slit,”
*Sov. Appl. Mech.*,**14**, No. 1, 101–103 (1978).ADSCrossRefGoogle Scholar - 537.O. B. Milovanova and M. Sh. Dyshel’, “Stability of thin sheets with an oblique slit in tension,”
*Sov. Appl. Mech.*,**16**, No. 4, 333–336 (1980).ADSzbMATHCrossRefGoogle Scholar - 538.D. A. Musaev, “Stability of a noncircular cylinder in an elastic matrix under finite deformations,”
*Sov. Appl. Mech.*,**38**, No. 6, 566–569 (1988).ADSzbMATHCrossRefGoogle Scholar - 539.D. A. Musaev and F. M. Nagiev, “Stability of a row of noncircular cylinders in an elastic matrix with finite strains,”
*Sov. Appl. Mech.*,**26**, No. 10, 929–933 (1990).ADSzbMATHCrossRefGoogle Scholar - 540.V. M. Nazarenko, “Mutual effect of a circular surface crack and a free boundary in an axisymmetric problem of the fracture of an incompressible half space in compression along the crack plane,”
*Sov. Appl. Mech.*,**21**, No. 2, 133–137 (1985).ADSzbMATHCrossRefGoogle Scholar - 541.V. M. Nazarenko, “Plastic rupture of materials during compression along near-surface fractures,”
*Sov. Appl. Mech.*,**21**, No. 2, 133–137 (1986).ADSzbMATHCrossRefGoogle Scholar - 542.V. M. Nazarenko, “Two-dimensional problem of the fracture of materials in compression along surface cracks,”
*Sov. Appl. Mech.*,**22**, No. 10, 970–977 (1986).ADSzbMATHCrossRefGoogle Scholar - 543.V. M. Nazarenko, “Theory of fracture of materials in compression along near-surface cracks under plane-strain conditions,”
*Sov. Appl. Mech.*,**22**, No. 12, 1192–1199 (1986).ADSCrossRefGoogle Scholar - 544.V. M. Nazarenko, “Fracture of plastic masses with translational strain-hardening in compression along near-surface cracks,”
*Sov. Appl. Mech.*,**23**, No. 1, 61–64 (1987).ADSCrossRefGoogle Scholar - 545.V. M. Nazarenko, V. L. Bogdanov, and H. Altenbach, “Influence of initial stress on fracture of a halfspace containing a penny-shaped crack under radial shear,”
*Int. J. Fract.*,**104**, 275–289 (2000).CrossRefGoogle Scholar - 546.J. L. Novinski, “On the elastic stability of thick columns,”
*Acta Mech.*,**7**, No. 4, 279–286 (1969).CrossRefGoogle Scholar - 547.I. W. Obreimoff, “The splitting strength of mica,”
*Proc. Soc. London A.*,**127A**, 290–297 (1930).ADSCrossRefGoogle Scholar - 548.M. R. Pinnel and F. Lawley, “Correlation on uniaxial yielding and substructe in aluminium-stainless steel composites,”
*Metall. Trans.*,**1**, No. 5, 929–933 (1970).Google Scholar - 549.E. Radi, D. Bigoni, and D. Capuani, “Effect of pre-stress on crack tip fields in elastic incompressible solids,”
*Int. J. Solids Struct.*,**39**, 3971–3996 (2002).zbMATHCrossRefGoogle Scholar - 550.I. R. Rice, “Path independent integral and the approximate analysis of strain concentration by notches and cracks,”
*J. Appl. Mech.*,**35**, No. 4, 340–350 (1968).Google Scholar - 551.B. W. Rosen, “Mechanics of composite strengthening,” in:
*Fiber Composite Materials. American Society for Metals*, Metals Park, Ohio (1965), pp. 37–75.Google Scholar - 552.O. G. Rzayev and S. D. Akbarov, “Local buckling of the elastic and viscoelastic coating around the penny-shaped interface crack,”
*Int. J. Eng. Sci.*,**40**, 1435–1451 (2002).zbMATHCrossRefGoogle Scholar - 553.M. A. Sadovsky, S. L. Pu, and M. A. Hussain, “Buckling of microfibers,”
*J. Appl. Mech.*,**34**, No. 4, 295–302 (1967).Google Scholar - 554.Satish Kumar, Tensuya Uchida, Thuy Dang, Xiefei Zhang, and Young-Bin Park, “Polymer/carbon nano fiber composite fibers,” in:
*SAMPE–2004–Long Beach*, CA, May 16–20 (2004), pp. 1–12.Google Scholar - 555.R. A. Schapery, “Approximate methods of transform inversion for viscoelastic stress analyses,”
*Proc. US Nat. Congr. Appl. ASME*, No. 4, 1075–1085 (1966).Google Scholar - 556.H. Schuerch, “Prediction of compressive strength in uniaxial boron fiber metal matrix composite material,”
*AIAA J.*,**4**, No. 1, 102–106 (1966).ADSCrossRefGoogle Scholar - 557.C. R. Schultheisz and A. M. Waas, “Compressive failure of composites. Part 1: Testing and micromechanical theories,”
*Prog. Aerospace Sci.*,**32**, 1–42 (1996).ADSCrossRefGoogle Scholar - 558.H. R. Shetty and T. W. Chou, “Mechanical properties and failure characteristic of FP-aluminium and W-aluminium composites,”
*Metall. Trans. A.*,**16**, No. 5, 833–864 (1985).CrossRefGoogle Scholar - 559.A. V. Skachenko, “Stability of multilayer composite under inelastic deformations,”
*Sov. Appl. Mech.*,**15**, No. 8, 756–757 (1979).ADSzbMATHCrossRefGoogle Scholar - 560.E. Soos, “Resonance and stress concentration in a prestressed elastic solid containing a crack. An apparent paradox,”
*Int. J. Eng. Sci.*,**34**, No. 3, 363–374 (1996).MathSciNetzbMATHCrossRefGoogle Scholar - 561.R. V. Southwell, “On the general theory of elastic stability,”
*Philos. Trans. Roy. Soc. London, Ser. A*,**213**, 187–244 (1913).ADSzbMATHCrossRefGoogle Scholar - 562.C. Soutis, N. A. Flek, and P. A. Smith, “Failure prediction technique for compression loaded carbon fibre-epoxy laminate with open hole,”
*J. Comp. Mat.*,**25**, 1476–1498 (1991).CrossRefGoogle Scholar - 563.C. Soutis and I. A. Guz, “On analytical approaches to failure composites caused by internal instability under deformations,” in:
*Proc. EUROMECH Colloq. 400*, September 21–29, 1999, London (1999), pp. 51–58.Google Scholar - 564.C. Soutis and I. A. Guz, “Predicting fracture of layered composites caused by internal instability,”
*Composites Part A: Appl. Sci. Manufact.*,**39**, No. 9, 1243–1253 (2001).CrossRefGoogle Scholar - 565.I. P. Starodubtsev, “Fracture of a body in compression along two parallel cracks under plane-strain conditions,”
*Sov. Appl. Mech.*,**24**, No. 6, 604–607 (1988).ADSzbMATHCrossRefGoogle Scholar - 566.E. A. Tkachenko and V. N. Chekhov, “Combined effect of temperature and compressive surface loads on the stability of elastic multilayer coating with small subcritical strains,”
*Int. Appl. Mech.*,**34**, No. 8, 729–735 (1998).ADSzbMATHCrossRefGoogle Scholar - 567.E. A. Tkachenko and V. N. Chekhov, “The stability of tribotechnical laminated polymeric coatings,”
*Int. Appl. Mech.*,**36**, No. 9, 1198–1204 (2000).ADSzbMATHCrossRefGoogle Scholar - 568.E. A. Tkachenko and V. N. Chekhov, “The stability of laminated elastomer coatings under surface loading,”
*Int. Appl. Mech.*,**36**, No. 10, 1355–1362 (2000).ADSzbMATHCrossRefGoogle Scholar - 569.E. A. Tkachenko and V. N. Chekhov, “Stability of laminated coating under elastoplastic deformations,”
*Int. Appl. Mech.*,**37**, No. 3, 361–368 (2001).ADSCrossRefGoogle Scholar - 570.E. A. Tkachenko and V. N. Chekhov, “Stability of an elastic layer stack between two half-space under compressive loads,”
*Int. Appl. Mech.*,**38**, No. 11, 1381–1387 (2002).ADSzbMATHCrossRefGoogle Scholar - 571.E. A. Tkachenko and V. N. Chekhov, “Stability of a lamine between two homogeneous half-space under inelastic deformation,”
*Int. Appl. Mech.*,**41**, No. 5, 481–489 (2005).ADSCrossRefGoogle Scholar - 572.A. M. Waas and C. R. Schultheisz, “Compressive failure of composites, Part 2: Experimental studies,”
*Prog. Aerospace Sci.*,**32**, 43–78 (1996).ADSCrossRefGoogle Scholar - 573.M. A. Wadee, C. W. Hunt, and M. A. Peletier, “Kink band instability in layered structures,”
*J. Mech. Phys. Solids*,**52**, 1071–1091 (2004).ADSzbMATHCrossRefGoogle Scholar - 574.B. Winiarski and I. A. Guz, “The effect of cracks interaction on the critical strain in orthotropic heterogeneous material under compressive static loading,” in:
*Proc. 2006 ASME Int. Mech. Eng. Congr. & Exposition*(*IMECE 2006*), November 5–10, 2006, ASME, Chicago, USA (2006), p. 9.Google Scholar - 575.B. Winiarski and I. A. Guz, “Plane problem for layered composites with periodic array of interfacial cracks under loading,”
*Int. J. Fract.*,**144**, No. 2, 113–119 (2007).zbMATHCrossRefGoogle Scholar - 576.B. Winiarski abd I. A. Guz, “The effect of cracks interaction for transversely isotropic layered material under compressive loading,”
*Finite Elem. in Analysis and Design*,**44**, No. 4, 197–213 (2008).CrossRefGoogle Scholar - 577.B. Winiarski and I. A. Guz, “The effect of fibre volume fraction on the onset of fracture in laminar materials with an array of coplanar interface cracks,”
*Comp. Sci. Technol.*,**68**, No. 12, 2367–2375 (2008).CrossRefGoogle Scholar - 578.B. Winiarski and I. A. Guz, “The effect of cracks interaction in orthotropic layered materials under compressive loading,”
*The Phil. Trans. Royal Soc. A*,**366**, No. 1871, 1835–1839 (2008).ADSzbMATHCrossRefGoogle Scholar - 579.C. H. Wu, “Plane-strain buckling of a crack in harmonic solid subjected to crack-parallel compression,”
*J. Appl. Mech.*,**46**, 597–604 (1979).ADSzbMATHCrossRefGoogle Scholar - 580.C. H. Wu, “Plane strain buckling of a crack in incompressible elastic solids,”
*J. Elasticity*,**10**, No. 2, 161–177 (1980).MathSciNetzbMATHCrossRefGoogle Scholar - 581.E. Yoffe, “The moving Griffith crack,”
*Phil. Mag.*,**4**, No. 330, 739–750 (1951).MathSciNetzbMATHCrossRefGoogle Scholar - 582.V. V. Zozulya, “Investigation of the contact of edges of cracks interacting with a plane longitudinal harmonic wave,”
*Sov. Appl. Mech.*,**27**, No. 12, 1191–1195 (1991).ADSzbMATHCrossRefGoogle Scholar - 583.V. V. Zozulya, “Contact interaction between the edges of a crack in an infinite plane under a harmonic load,”
*Int. Appl. Mech.*,**28**, No. 1, 61–64 (1992).ADSMathSciNetzbMATHCrossRefGoogle Scholar - 584.V. V. Zozulya, “Investigation of the effect of crack edge contact for loading by a harmonic wave,”
*Int. Appl. Mech.*,**28**, No. 2, 95–99 (1992).ADSMathSciNetCrossRefGoogle Scholar - 585.V. V. Zozulya, “Harmonic loading of the edges of two collinear cracks in plane,”
*Int. Appl. Mech.*,**28**, No. 3, 170–172 (1992).ADSCrossRefGoogle Scholar - 586.V. V. Zozulya, “Contact problem for a plane crack under normally incident antiplane shear wave,”
*Int. Appl. Mech.*,**43**, No. 5, 586–588 (2007).ADSMathSciNetCrossRefGoogle Scholar - 587.V. V. Zozulya, “Stress intensity factor in a contact problem for a plane crack under an antiplane shear wave,”
*Int. Appl. Mech.*,**43**, No. 9, 1043–1047 (2007).ADSMathSciNetCrossRefGoogle Scholar - 588.V. V. Zozulya and N. V. Fenchenko, “Influence of contact interaction between the sides of crack on characteristics of failure mechanics in action P- and SV waves,”
*Int. Appl. Mech.*,**35**, No. 2, 175–180 (1999).ADSCrossRefGoogle Scholar - 589.V. V. Zozulya and A. N. Lukin, “Solution of three-dimensional problems of fracture mechanics by the method of integral boundary equations,”
*Int. Appl. Mech.*,**34**, No. 6, 544–551 (1998).Google Scholar - 590.V. V. Zozulya and A. V. Men’shikov, “Contact interaction of the faces of a rectangular crack under normally incident tension-compression waves,”
*Int. Appl. Mech.*,**38**, No. 3, 302–307 (2002).ADSzbMATHCrossRefGoogle Scholar - 591.V. V. Zozulya and A. V. Men’shikov, “On one contact problem in fracture mechanics for a normally incident tension-compression wave,”
*Int. Appl. Mech.*,**38**, No. 7, 824–828 (2002).ADSzbMATHCrossRefGoogle Scholar - 592.V. V. Zozulya and A. V. Men’shikov, “Contact interaction of the faces of a penny-shaped crack under a normally incident shear wave,”
*Int. Appl. Mech.*,**38**, No. 9, 1114–1118 (2002).ADSzbMATHCrossRefGoogle Scholar - 593.V. V. Zozulya and A. V. Men’shikov, “Use of the constrained optimization algorithms in some problems of fracture mechanics,”
*Optimiz. Eng.*,**4**, No. 4, 365–384 (2003).MathSciNetzbMATHCrossRefGoogle Scholar - 594.V. V. Zozulya and M. V. Men’shikova, “Study of interactive algorithms for solution of dynamic contact problems for elastic cracked bodies,”
*Int. Appl. Mech.*,**38**, No. 5, 573–578 (2002).ADSzbMATHCrossRefGoogle Scholar - 595.V. V. Zozulya and M. V. Men’shikova, “Dynamic contact problems for a plane with a finite crack,”
*Int. Appl. Mech.*,**38**, No. 12, 1459–1463 (2002).ADSzbMATHCrossRefGoogle Scholar - 596.V. V. Zozulya and V. A. Men’shikov, “Contact interaction of the edges of a crack in a plane under harmonic loading,”
*Int. Appl. Mech.*,**30**, No. 12, 986–989 (1994).ADSzbMATHCrossRefGoogle Scholar - 597.V. V. Zozulya and V. A. Men’shikov, “Solution of three-dimensional problems of the dynamic theory of elasticity for bodies with cracks using hypersingular integrals,”
*Int. Appl. Mech.*,**36**, No. 1, 74–81 (2000).ADSzbMATHCrossRefGoogle Scholar