Abstract
The paper deals with experimental studies of inhomogeneous strain fields with regions of supercritical behavior of the material in the case of extension of plane specimens of steel 20 with concentrators of different geometry by using the method of digital image correlation. The use of a video system permits obtaining experimental data about the distribution of the fields of longitudinal, transverse, and shear components and the strain intensity. The previously considered criteria for the deformation process transition to the supercritical stage for different types of the stress–strain state were used to distinguish the regions of supercritical behavior and to analyze the evolution of the strain and temperature fields in their stable development.
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References
S.D. Volkov, G. I. Dubrovina, and Yu. P. Sokovnin, “Stability ofMaterialStrength inMechanics of Fracture,” Probl. Prochn., No. 6, 65–69 (1978) [Strength ofMaterials (Engl. Transl.) 10 (6), 682–686 (1978)].
Ya. B. Fridman, Mechanical Properties of Materials (Oborongiz, Moscow, 1952) [in Russian].
V. E. Vildeman, Yu. V. Sokolkin, and A. A. Tashkinov, Mechanics of Inelastic Deformation and Fracture of CompositeMaterials (Nauka, Moscow, 1997) [in Russian].
V. E. Vildeman, “On the Solutions of Elasti©Plastic Problems with Contact-Type Boundary Conditions for Solids with Loss-of-Strength Zones,” Prikl. Mat. Mekh. 62 (2), 304–312 (1998) [J. Appl. Math. Mech. (Engl. Transl.) 62 (2), 281-288 (1998)].
Z. P. Bazănt and J.-L. Le, “Size Effect on Strength and Lifetime Probability Distribution of Quasibrittle Structures,” Sa¯ dhana¯ 37 (1), 17–31 (2012).
V. E. Vildeman, E. V. Lomakin, T. V. Tret’yakova, and M. P. Tret’yakov, “Development of Inhomogeneous Fields under PostcriticalDeformation of Steel Specimens inExtension,” Izv. Ross. Akad.Nauk. Mekh. Tverd. Tela, No. 5, 132–139 (2016) [Mech. Solids (Engl. Transl.) 51 (5), 612–618 (2016)].
V. E. Vildeman and M. P. Tretiyakov, “Tests of Materials with Construction of Complete Deformations Curves,” Probl. Mashinostr. Nadezhn. Mashin, No. 2, 93–98 (2013).
M. P. Tretiyakov and V. E. Vildeman, “Tests under Tension–TorsionConditions with Descending Sections of Strain Curve Construction,” Fract. Struct. Integrity 24, 96–101 (2013).
N. G. Chausov, “Complete Deformation Curve as a Source of Information about the Kinetics of Damage Accumulation and Crack Resistance of Materials,” Zavodskaya Laboratoriya. Dignost.Mater. 70 (7), 42–49 (2004).
V. I. Mironov, A. V. Yakushev, and O. A. Lukashuk, “Nonstandard Properties of a Structural Material,” Fizich.Mezomekh. 7 (S1), 210–213 (2004).
V.G. Bazhenov, D. V. Zhegalov, and E. V. Pavlenkova, “Numerical and Experimental Study of Elastoplastic Tension-Torsion Processes in Axisymmetric Bodies under Large Deformations,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 57–66 (2011) [Mech. Solids (Engl. Transl.) 46 (2), 204–212 (2011)].
J. Faleskog and I. Barsoum, “Tension-Torsion Fracture Experiments. Part I: Experiments and a Procedure to Evaluate the Equivalent Plastic Strain,” Int. J. Solids Struct. 50, 4241–4257 (2013).
V. E. Vildeman and M. P. Tretyakov, “Analysis of the Effect of Loading System Rigidity on Postcritical Material Strain,” Probl. Mashinostr. Nadezhn. Mashin, No. 3, 49–57 (2013) [J. Machin. Maufact. Reliabil. (Engl. Transl.) 42 (3), 219–226 (2013)].
V. E. Wildemann, E. V. Lomakin, and M. P. Tretyakov, “Supercritical Deformation of Steels in Plane Stress State,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela No. 1, 26–36 (2014) [Mech. Solids (Engl. Transl.) 49 (1), 18–26 (2014)].
Z. P. Bazănt abd G. Di Luizo, “NonlocalMicroplaneModel with Strain Softening Yield Limits,” Int. J. Solids Struct. 41, 7209–7240 (2004).
R.V. Goldstein and M.N. Perelmuter, “Modeling of Crack Resistance of CompositeMaterials,” Vych.Mekh. Sploshn. Sred 2 (2), 22–39 (2009).
V. E. Vildeman, “Problems of Mechanics of Supercritical Deformation of Beam Systems,” Vestn. PGTU. Dinam. Prochn.Mash., No. 5, p. 15 (2005).
V. V. Struzhanov and E. A. Bakhareva, “"Mathematical Methods in Theory of Pure Bending of Rectangular Beams Produce ofWeakeningMaterial with Symmetric Extension-Compression Diagram,” Vychisl. Mekh. Sploshnykh Sred 5 (2), 158–167 (2012).
V. P. Radchenko, E. V. Nebogina, and M. V. Basov, “Structure Model of Supercritical Elastoplastic Deformation of Materials in Uniaxial Tension,” Vestnik Samarsk. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, No. 9, 55–65 (2000).
V. P. Radchenko and S. V. Gorbunov, “Method for Solving Boundary-Value Elastoplastic Problem of Extension of a Strip with Stress Concentrators with Regard to Local Regions of Plastic Softening of the Material,” Vestnik Samarsk. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, No. 4, 98–110 (2014).
T. V. Tretiakova and V. E. Vildeman, Space-Time Inhomogeneity of Processes of Inelastic Deformation of Metals (Fizmatlit, Moscow, 2016) [in Russian].
V. E. Vildeman, E. V. Lomakin, and T. V. Tretiakova, “Yield Delay and Space-Time Inhomogeneity of Plastic Deformation of Carbon Steel,” Izv. Ross. Akad. Nauk.Mekh. Tverd. Tela, No. 4, 56–67 (2015) [Mech. Solids (Engl. Transl.) 50 (4), 412–420 (2015)].
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Original Russian Text © V.E. Vildeman, E.V. Lomakin, T.V. Tret’yakova, M.P. Tret’yakov, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 5, pp. 22–29.
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Vildeman, V.E., Lomakin, E.V., Tret’yakova, T.V. et al. Supercritical Deformation and Fracture of Bodies with Concentrators under Plane Stress State Conditions. Mech. Solids 52, 488–494 (2017). https://doi.org/10.3103/S002565441705003X
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DOI: https://doi.org/10.3103/S002565441705003X