Abstract
The study of the stress-deformed state of elastic bodies began to develop actively in the nineteenth century and has not lost its relevance to the present day. This is due to the wide range of applications in various engineering applications. The classical linear theory of elasticity is the most important basis for most strength calculations in engineering. During operation, building and other structures are exposed to mechanical, temperature, and other types of influence. Therefore, when designing, it is necessary to calculate the strength of such structures. Product strength characteristics can be obtained based on the analysis of the stress-strain state of their elastic models. One such model is a semi-infinite strip. Therefore, the development of analytical and numerical methods for studying its stress-strain state is an urgent problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abbas, I.A.: Analytical-numerical solution of thermoelastic problem in a semi-infinite medium under Green and Naghdi Theory. J. Thermoelast. 01(02), 19–23 (2013)
Abou-Dina, M.S., Ghaleb, A.F.: On the boundary integral formulation of the plane theory of thermoelasticity (analytical aspects). J. Therm. Stresses. 25, 1–29 (2002)
Akbarov, S.D., Yahnioglu, N., Turan, A.: Influence of initial stresses on stress intensity factors at crack tips in a composite strip. Mech. Compos. Mater. 40(4) (2004)
Aglovyan, L.A., Gevorkyan, R.S.: About some mixed problem of theory of elasticity for a semi-strip (in Russian). Proc. Acad. Sci. Armenian SSR, Mech. 23(3), 3–13 (1970)
Aleksandrov, V.M., Mkhitaryan, S.M.: Contact Problems for the Bodies with Thin Coatings and Interlayers (in Russian). Nauka, M. (1983)
Alexandrov, V.M., Pozharskii, D.A.: To the problem of a crack on the elastic strip-half-plane interface. Mech. Solids. 36(1), 70–76 (2001)
Antipov, Y.A.: Singular integral equations with two fixed singularities and applications to fractured composites. Quart. J. Mech. Appl. Math. 68(4) (2015)
Antipov, Y.A.: Singular integral equations with two fixed singularities and the Helmholtz equation in the exterior of a slice of a cone. (2014)
Antipov, Y.A., Bardzokas, D., Exadactylos, G.E.: Interface edge crack in a bimaterial elastic half-plane. Int. J. Fract. 88, 281–304 (1998)
Antipov, Y.A., Schiavone, P.: Integro-differential equation of a finite crack in a strip with surface effects. Quart. J. Mech. Appl. Math. 64, 87–106 (2011)
Antonenko, N.N.: The problem on the longitudinal crack with filler in strip (in Russian). News Saratov Univ. Ser. Math. Mech. Inf. 15(3) (2015)
Ballarini, R., Luo, H.A.: Green’s functions for dislocations in bonded strips and related crack problems. Int. J. Fract. 50, 239–262 (1991)
Benthem, J.P.: A Laplace transform method for the solution of semi-infinite and finite strip problems in stress analysis. Quart. J. Mech. Appl. Math. 16(4), 413–429 (1963)
Bierman, G.I.: A particular class of singular integral equations. J. Appl. Math. 20(1), 99–109 (1971)
Bogy, D.B.: Solution of the plane end problem for a semi-infinite elastic strip. J. Appl. Math. Phys. 26, 749–769 (1975)
Bogy, D.B.: The plane solution for joined dissimilar elastic semistrips under tension. J. Appl. Mech. 42(1), 93–98 (1974)
Borisova, E.V.: Concentration of Stress at the Tip of an Internal Transverse Crack in a Composite Elastic Body (in Russian) . Thesis, Rostov-on-Don (2015)
Bowie, O.L., Freese, C.E.: A Note on the Bending of a Cracked Strip Including Crack Surface Interference, pp. 457–459. Army Materials and Mechanics Research Center
Bueekner, H.F.: On a class of singular integral equations. J. Math. Anal. Appl. 14, 392–426 (1966)
Capobianco, M.R., Criscuolo, G., Junghanns, P.: On the numerical solution of a hypersingular integral equation with fixed singularities. Oper. Theory Adv. Applications. 187, 95–116 (2005)
Chai, H.: A note on crack trajectory in an elastic strip bounded by rigid bustrates. Int. J. Fract. 32, 211–213 (1987)
Chell, G.: The stress intensity factors for centre and edge cracked sheels subject to an arbitrary loading. Eng. Fract. Mech. 7(1), 137–152 (1975)
Chell, G.C.: The stress intensity factors and crack profiles for centre and edge cracks in plates subject to arbitrary stresses. Int. J. Fract. 12(1), 33–46 (1976)
Chen, Y.-z.: Stress analysis for an infinite strip weakened by periodic cracks. Appl. Math. Mech. 25(11) (2004)
Chiang, C.R.: A local variational principle and its application to an infinite strip containing a central transverse crack. Int. J. Fract. 57, R33–R36 (1992)
Civelek, M.B., Erdogan, F.: Crack problems for a rectangular plate and an infinite strip. Int. J. Fract. 19, 139–159 (1982)
Crowdy, D.G., Fokas, A.S.: Explicit integral solutions for the plane elastostatic semi-strip. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460(2045), 1285–1309 (2004)
Davidson, S.: The linear steady thermoelastic problem for a strip with a collinear array of Griffith cracks parallel to its edges. J. Eng. Math. 27, 89–98 (1993)
Denisova, T.V., Protsenko, V.S., Buzko Ya.P.: The problem of stationary heat conduction for a half-strip with a circular hole (in Russian). Open Inf. Comput. Integr. Technol. 42, 159–163 (2009)
Denisova, T.V., Protsenko, V.S.: An elastic half-strip clamped at the end with a circular hole or a rigid circular inclusion (in Russian). Open Inf. Comput. Integr. Technol. 46 (2010)
Dhaliwal, R.S., Singh, B.M.: Two coplanar Griffith cracks in an infinitely long elastic strip. J. Elast. 11(3) (1981)
Dorosh, N.A., Kit, G.S.: Equilibrium of a strip containing a rectilinear transverse crack under the influence of heat sources. Prikladnaya Mekhanika. 10(11), 93–98 (1974)
Duduchava, R.V.: Convolution Integral Equations with Discontinuous Presymbols, Singular Integral Equations with Fixed Singularities, and Their Applications to Problems in Mechanics (in Russian). Metsniereba, Tbilisi (1979) 133 p
Duduchava, R., Krupnik, N., Shargorodsky, E.: An algebra of integral operators with fixed singularities in kernels. Integr. Equ. Oper. Theory. 33(4), 406–425 (1999)
Dyskin, A.V., Germanovich, L.N., Ustinov, K.B.: Asymptotic analysis of crack interaction with free boundary. Int. J. Solids Struct. 37(6), 857–886 (2000)
Elishakoff, I., Ren, Y.J., Shinozuka, M.: Some exact solutions for the bending of beams with spatially stochastic stiffness. Int. J. Solids Struct. 32(16), 2315–2327 (1995)
Erdogan, F., Arin, K.: A half plane and a strip an arbitrarily located crack. Int. J. Fract. 11(2), 191–204 (1975)
Erdogan, F., Terada, H.: Wedge loading of a semi-infinite strip with an edge crack. Int. J. Fract. 14(4) (1978)
Fil’shtinskii, L.A., Bondar, A.V.: Problem of coupled thermoelasticity for a half-layer with a tunnel cavity: an antisymmetric case. Int. Appl. Mech. 44(10) (2008)
Gabbasov, N.S.: Methods for solving an integral equation of the third kind with fixed singularities in the kernel. Differentsial’nye Uravneniya. 45(9), 1341–1348 (2009)
Gabbasov, N.S.: New versions of the collocation method for integral equations of the third kind with singularities in the kernel. Differentsial’nye Uravneniya. 47(9), 1344–1351 (2011)
Gabrusev, G.: The problem of thermoelasticity for a transversally isotropic sphere with spike lines dividing the boundary conditions on its surface (in Ukrainian). Bull. TNTU. 73(1), 57–67 (2014)
Gavrilkyuk, I.P., Makarov, L.V.: A difference method for the solution of a class of generalized boundary-value problems in a half-strip. Vichislitel’naya i Prikladnaya Matematica. 69, 28–37 (1989)
Gecit, M.R.: A cracked elastic strip bonded to a rigid support. Int. J. Fract. 14(6) (1978)
Gecit, M.R., Turgut, A.: Extension of a finite strip bonded to a rigid support. Comput. Mech. 3, 398–410 (1988)
Gogoleva, O.S.: Examples of solving the first main boundary value problem of elasticity theory in a half-strip (symmetric problem) (in Russian). Bull. OGU. 9(145), 138–142 (2012)
Goldstein, R.V., Ryskov, I.N., Salganik, R.L.: Central transverse crack in an infinite strip. Int. J. Fract. Mech. 6, 104–105 (1970)
Gomilko, A.M.: A Dirichlet problem for the biharmonic equation in a semi-infinite strip. J. Eng. Math. 46, 253–268 (2003)
Gomilko, A.M., Grinchenko, V.T., Meleshko, V.V.: Method of homogeneous solutions and superposition in the mixed problem for an elastic half-strip. Soviet Appl. Mech. 26(2), 193–202 (1990)
Gregory, R.D.: The traction boundary value problem for the elastostatic semi-infinite strip, existence of solution, and completeness of the Papkovitch-Fadle eigenfunction. J. Elast. 10, 295–327 (1980)
Gregory, R.D., Wan, F.Y.M.: Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory. J. Elast. 14, 27–64 (1984)
Gussein-Zade, M.I.: On conditions for the existence of damped solutions of a plane problem of elasticity theory for a half-strip (in Russian). ПММ. (1965) Т. 29, No. 2
Guz, A.N., Guz, I.A., Men’shikov, A.V., Men’shikov, V.A.: Stress-intensity factors for materials with interface cracks under harmonic loading. Int. Appl. Mech. 46, 1093 (2011). https://doi.org/10.1007/s10778-011-0401-1
Horvay, G., Born, J.: Some mixed boundary-value problems of the semi-infinite strip. J. Appl. Mech. 24(2), 261–268 (1957)
Hvozdara, M., Rosa, K.: Stress and displacements due to a stationary point source of heat in an elastic halfspace. Studia geoph. etgeod. 24 (1980)
Isida, M.: Analysis of stress intensity factors for the tension of a centrally cracked strip with stiffened edges. Eng. Fract. Mech. 5(3), 647–665 (1973)
Itou, H., Tani, A.: A boundary value problem for an infinite elastic strip with a semi-infinite crack. J. Elast. 66, 193–206 (2002)
Jamashida: Investigation of stresses in a semi-infinite strip under the action of forces applied to its end. Trans. Japan. Soc. Mech. Engrs. 20(95), 466 (1954)
Johnson, M.W., Little, R.W.: The semi-infinite elastic strip. Q. Appl. Math. 22(4), 335–344 (1965)
Junghanns, P., Rathsfeld, A.: On polynomial collocation for Cauchy singular integral equations with fixed singularities. Integr. Equ. Oper. Theory. 43(2), 155–176 (2002)
Kal’muk, L.I., Stashchuk, M.G., Pokhmurs’kii, V.I.: Stress-intensity coefficients around the vertices of cracks and rigid inclusions in strips with clamped or free boundaries. Fiziko-Khimicheskaya Mekhanika Materialov. 26(4), 65–75 (1990)
Kaplunov, J.D., Kossovitch, L.Y., Nolde, E.V.: Dynamics of Thin Walled Elastic Bodies. Academic Press, London (1997) 232 p
Kit, G.S., Krivtsun, M.G.: Plane Problems of Thermoelasticity for Bodies with Cracks (in Russian). Naukova dumka, Kiev (1983) 278 p
Koiter, W., Alblas, J.: On the bending of cantilever rectangular Plates. Proc. Koninke Nederl. Acad. wet. B. 57(2) (1954)
Kolchin, G.B., Plyatt, S.N., Sheinker, N.Y.: Some Problems of Thermoelasticity for Rectangular Domains (in Russian). Shtiintsa (1980) 106 p
Kolyano, Y.M., Zatvarskaya, L.M.: Method of continuation of functions in the problem of thermoelasticity for a half-strip (in Russian). News Univ. Math. 8, 84–86 (1987)
Kovalenko, M.D., Menshova, I.V., Kerzhaev, A.P.: Discontinuity of movements in the strip. Solution in trigonometric series (in Russian). Bull. Chuvash State Pedagogical Univ. I. Ya. Yakovleva. Ser. Limit State Mech. 2(24), 50–71 (2015)
Krasnoshchekov, A.A., Sobol, B.V.: Equilibrium of an internal transverse crack in a semiinfinite elastic body with thin coating. Mech. Solids. 51(1), 114–126 (2016). https://doi.org/10.3103/S0025654416010118
Krein, M.G.: Integral equations on the half-line with a kernel depending on the difference of the arguments (in Russian). UMN. 13(5), 3–120 (1958)
Krenk, S.: On the elastic strip with an internal crack. Int. J. Solids Struct. 11(6), 693–708 (1975)
Krenk, S., Bakioglu, M.: Transverse cracks in a strip with reinforced surfaces. Int. J. Fract. 11(3), 441–447 (1975)
Kryvyi, O.F.: Mutual influence of an interface tunnel crack and an interface tunnel inclusion in a piecewise homogeneous anisotropic space. J. Math. Sci. 208(4), 409–416 (2015)
Kushnir, R.M., Nykolyshyn, M.M., Zhydyk, U.V., et al.: Modeling of thermoelastic processes in heterogeneous anisotropic shells with initial deformations. J. Math. Sci. 178, 512–530 (2011). https://doi.org/10.1007/s10958-011-0566-5
Lamzyuk, V.D., Mossakovshii, V.I., Sotnikova, S.D.: On stresses in a strip with a crack. J. Math. Sci. 70(5) (1994)
Lamzyuk, V.D., Sotnikova, S.D.: A plane problem in elasticity theory for a half-strip with given normal displacement at the base. J. Math. Sci. 90(6) (1998)
Lee, D.-S.: The problem of internal cracks in an infinite strip having a circular hole. Acta Mech. 169, 101–110 (2004)
Li, Y.-d., Lee, K.Y.: Fracture analysis of a weak-discontinuous interface in a symmetrical functionally gradient composite strip loaded by anti-plane impact. Arch. Appl. Mech. 78, 855–866 (2008). https://doi.org/10.1007/s00419-007-0194-1
Li, X., Guo, S.H.: Effects of nonhomogeneity on dynamic stress intensity factors for an antiplane interface crack in a functionally graded material bonded to an elastic semi-strip. Comput. Mater. Sci. 38(2), 432–441 (2006)
Ling, C.B., Cheng, F.H.: Stresses in a semi-infinite strip. Int. J. Eng. Sci. 5(2), 155 (1967)
Liu, X.-H., Erdogan, F.: An elastic strip with multiple cracks and applications to tapered specimens. Int. J. Fract. 29, 59–72 (1985)
Loboda, V.V., Sheveleva, A.E.: Steady thermal contact of a half strip and a strip. Inzhenerno-Fizicheskii Zhurnal. 53(2), 302–307 (1987)
Ma, L., Wu, L.-Z., Zhou, Z.-G., Zeng, T.: Crack propagation in a functionally graded strip under the plane loading. Int. J. Fract. 126, 39–55 (2004)
Martynyuk, P.A., Polyak, E.B.: Equilibrium of an isolated crack in an elastic strip. Zhurnal Prikladnoi Mekhaniki Tekhnicheskoi Fiziki. 4, 175–183 (1978)
Matbuly, M.S.: Analysis of mode III crack perpendicular to the interface between two dissimilar strips. Acta Mech. Sinica. 24, 433–438 (2008). https://doi.org/10.1007/s10409-008-0173-y
Meleshko, V.V., Tokovyy, Y.V., On, F.P.: Papkovich’s algorithm in the method of homogeneous solutions for a two-dimensional biharmonic problem in a rectangular domain (in Ukrainian). Math. Methods Phys. Mech. Fields. 49(4), 69–83 (2006)
Melnik, R.V.N.: Discrete Models of Coupled Dynamic Thermoelasticity for Stress-Temperature Formulations, pp. 1–20. Department of Mathematics and Computing, University of Southern Queensland, Australia
Menouillard, T., Belytschko, T.: Analysis and computations of oscillating crack propagation in a heated strip. Int. J. Fract. 167, 57–70 (2011)
Mikhailov, L.G.: Integral Equations with a Kernel of Homogeneous Degree (in Russian). Dopish, Dushanbe (1966)
Mikhlin, S.G.: Singular Integral Equations (in Russian). Nauka, M. (1968)
Mirsalimov, M.V.: Modeling the effect of crack closure in a strip of tapered thickness under uneven heating. J. Mach. Manuf. Reliab. 39(4), 351–358 (2010)
Morozov, N.F.: Mathematical Questions of the Crack Theory (in Russian). Nauka. Main editorial office of physical and mathematical literature, M. (1984) 256 с
Mykhaskiv, V.V., Khay, O.M.: Interaction between rigid-disc inclusion and penny-shaped crack under elastic time-harmonic wave incidence. Int. J. Solids Struct. 46(3–4), 602–616 (2009)
Mykhas’kiv, V., Stankevych, V., Zhbadynskyi, I., Zhang, C.: 3-D dynamic interaction between a penny-shaped crack and a thin interlayer joining two elastic half-spaces. Int. J. Fract. 159(2), 137–149 (2009)
Nikolaev, A.G., Protsenko, V.S.: Generalized Fourier Method in Spatial Problems of Elasticity Theory (in Russian). KhAI, Kharkov (2011) 344 p
Noble, B.: Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, 2nd edn. American Mathematical Society (1988)
Nowacki, W.: Thermoelasticity. Pergamon (1986) 578 p
Onishchuk, O.V., Popov, G.Y., Farshayt, P.G.: The problem about bend of rectangular plate with linear pile, which goes on the fixed side by one end. Mech. Solids. 6, 160–167 (1988)
Parmerter, R.R., Mukherji, B.: Stress intensity factors for an edge-cracked strip in bending. Int. J. Fract. 10, 441–444 (1974)
Pickett, G., Jyengar, K.T.S.: Stress concentrations in post-tensioned prestressed concrete beams. J. Technol. India. 1(2) (1956)
Plyat, S.N., Sheinker, N., Ya.: Two-dimensional thermoelastic problem for a continuously accumulating half-strip. Prikladnaya Mekhanika. 5(1), 52–59 (1969)
Poberezhnyi, O.V.: A strip with a boundary crack under the action of a heat source. Metematicheskie Metody I Fiziko-Mekhanicheskie Polya. 36, 97–101 (1992)
Popov, G.Y., Abdimanov, S.A., Ephimov, V.V.: Green’s Functions and Matrices of the One-Dimensional Boundary Problems (in Russian). Raczah, Almati (1999) 133 p
Popov, G.Y.: The Elastic Stress’ Concentration Around Dies, Cuts, Thin Inclusions and Reinforcements (in Russian). Nauka, Moskow (1982) 344 p
Popov, V.G.: A dynamic contact problem which reduces to a singular integral equation with two fixed singularities. J. Appl. Math. Mech. 76(3), 348–357 (2012)
Popov, V.G.: Harmonic vibrations of a half-space with a surface-breaking crack under conditions of out-of-plane deformation. Mech. Solids. 48(2), 194–202 (2013)
Qing, H., Yang, W., Lu, J., Li, D.-F.: Thermal-stress analysis for a strip of finite width containing a stack of edge cracks. J. Eng. Math. 61, 161–169 (2008)
Qizhi, W.: The crack-line stress field method for analysing SIFs of strips – illustrated with an eccentrically cracked tension strip. Int. J. Fract. 59, R39–R43 (1993)
Rychahivskyy, A.V., Tokovyy, Y.V.: Correct analytical solutions to the thermo-elasticity problems in a semi-plane. J. Therm. Stress. 31(11), 1125–1145 (2008)
Saakyan, A.V.: Method of discrete singularities as applied to the solution of singular integral equations with a fixed singularity (in Russian). Proc. Natl. Acad Sci. Armenia. 53(3), 12–19 (2000)
Savruk, M.P.: Two-Dimensional Problems of Elasticity for Bodies with Cracks (in Russian). Naukova dumka, Kiev (1981) 324 p
Savruk, M.P., Osiv, P.N., Prokopchuk, I.V.: Numerical Analysis in Plane Problems of Crack Theory (in Russian), p. 248. Naukova dumka, Kiev (1989)
Sebryakov, G.G., Kovalenko, M.D., Menshova, I.V., Shulyakovskaya, T.D.: An odd-symmetric boundary-value problem for a semistrip with longitudinal rigidity ribs: biorthogonal sets of functions and Lagrange expansions. Dokl. Phys. 61(5), 247–251 (2016)
Seremet, V.: Static equilibrium of a thermoelastic half-plane: Green’s functions and solutions in integrals. Arch. Appl. Mech. 84, 553–570 (2014)
Shevchenko, A.Y.: Thermally stressed state of rigidly fastened half-strips of the same width. Prikladnaya Mekhanika. 13(9), 66–72 (1977)
Shabozov, M.S.: An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity. Ukr. Math. J. 47(9), 1479–1485 (1995)
Shamrovskiy, A.D., Merkotan, G.V.: Dynamic problem of generalized thermoelasticity for an isotropic half-space (in Russian). East. Eur. J. Adv. Technol. 3(51), 56–59 (2011)
Singh, B.M., Dhaliwal, R.S.: Three coplanar Griffith cracks in an infinite elastic strip. J. Elast. 12(1), 127–141 (1982)
Slepyan, L.I.: Mechanics of Cracks (in Russian), 2nd edn. Sudostroenie, L. (1990) 296 p
Soldatov, A.P.: To the theory of singular integro-functional operators (in Russian). Differential Equ. 13(1), 140–154 (1977)
Stepanova, L.V.: Stresses near the tip of a transverse shear crack under plane stress conditions in a perfectly plastic material (in Russian). Bull. Samara State Univ. Nat. Sci. Ser. 2(24), 78–84 (2002)
Sulym, H.: Fundamentals of the Mathematical Theory of Thermoelastic Equilibrium of Deformable Solids with Thin Inclusions (in Ukrainian). Proslyd.-ed. center of the National Academy of Sciences, Lviv (2007) 716 p
Suchevan, V.G.: Stress state of an elastic half-strip with embedded edges (in Russian). Math. Investig. 40, 122–135 (1976)
Tada, H., Paris, P.C., Irwin, G.R.: The Stress Analysis of Cracks: Handbook. Del Research Corp., Hellertown (1973) 385 p
Teodorescu, P.P.: Probleme Plane in teoria elasticitatii, vol. 1. Editura Acad., Republicii Populare Romine (1961)
Thecaris, P.: The stress distribution in a semi-infinite strip subjected to a concentrated load. Trans. J. Appl. Mech. 26(3), 401–406 (1959)
Theotokoglou, E.N., Tsamasphyros, G.J.: Integral equations for any configuration of cured cracks and holes in an elastic strip. Ingenieur-Archiv. 57, 3–15 (1987)
Tianyou, F.: Exact solutions of semi-infinite crack in a strip. Chin. Phys. Lett. 7(9), 402–405 (1990)
Tian-You, F.: Stress intensity factors of mode I and mode II for an infinite crack in a strip. Int. J. Fract. 46, R11–R16 (1990)
Tokovyy, Y., Chien-Ching, M.: An explicit-form solution to the plane elasticity and thermoelasticity problems for anisotropic and inhomogeneous solids. Int. J. Solids Struct. 46, 3850–3859 (2009)
Trapeznikov, L.P.: Influence lines for normal stresses in half strip (in Russian). Proc. All-Union Scientif. Res. Inst. Hydromech. 73 (1963)
Tricomi, F.: On Linear Equations of Mixed Type (in Russian). Gostekhisdat, M. (1948)
Ulitko, A.F., Ostryk, V.I.: Interphase crack at the interface between a circular inclusion and a matrix (in Ukrainian). Phys. Math. Model. Inf. Technol. 3, 138–149 (2006)
Ustinov, K.B.: Once Again to the Problem of a Half-Plane Weakened by a Semi-Infinite Crack Parallel to the Boundary (in Russian), vol. 4. Herald PNIPU (2013)
Veremeychik, A.I., Garbachevskiy, V.V., Khvisevich, V.M.: To the solving of plane boundary problems of thermoelasticity for non-homogeneous bodies by potential method (in Russian). Repository BNTU, 184–189
Vihak, V.M., Yuzvyak, M.Y., Yasinskij, A.V.: The solution of the plane thermoelasticity problem for a rectangular domain. J. Therm. Stress. 21(5), 545–561 (1998)
Vorovich, I.I., Aleksandrov, V.M., Babeshko, V.A.: Nonclassical Mixed Problems of Elasticity (in Russian). Nauka, M. (1974) 456 p
Vorovich, I.I., Kopasenko, V.V.: Some problems in the theory of elasticity for a semi-infinite strip. PMM. 30(1), 109–115 (1966)
Wu, X.-F., Lilla, E., Zou, W.-S.: A semi-infinite internal crack between two bonded dissimilar elastic strips. Arch. Appl. Mech. 72, 630–636 (2002)
Xia, R., Guo, Y., Li, W.: Study on generalized thermoelastic problem of semi-infinite plate heated locally by the pulse laser. Int. J. Eng. Pract. Res. (IJEPR). 3(4), 95–99 (2014)
Yavorskii, M.S.: Thermal stress state of strip-plate with heat sources. Prikladnaya Mekhanika. 18(10), 86–91 (1982)
Zamyatin, V.M., Makhov, A.V., Svetashkov, A.A.: Solution of plane problems of elasticity theory for a strip using a diagonalized system of equilibrium equations (in Russian). Bull. Tomsk Polytechnic Univ. 309(6), 135–139 (2006)
Zhuk, Y.A., Senchenkov, I.K.: Approximate model of thermomechanically coupled inelastic strain cycling. Int. Appl. Mech. 39(3), 300–306 (2003)
Zorski, H.: A semi-infinite strip with discontinuous boundary conditions. Arch. Mech. Stosowanej. 10(3), 371–397 (1958)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Vaysfeld, N., Zhuravlova, Z. (2023). Review. In: Mixed Boundary Problems in Solid Mechanics. UNITEXT(), vol 155. Springer, Cham. https://doi.org/10.1007/978-3-031-37826-3_2
Download citation
DOI: https://doi.org/10.1007/978-3-031-37826-3_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-37825-6
Online ISBN: 978-3-031-37826-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)