A symmetric problem of elasticity is formulated to analyze the plastic zone at the corner point of the interface between two isotropic media. The piecewise-homogeneous isotropic body with an interface in the form of angle sides consists of different elastic parts joined by a thin elastoplastic layer. The plastic zone is modeled by discontinuity lines of tangential displacement, which are located at the interface. The exact solution of the problem is found using the Wiener–Hopf method and is then used to determine the length of the plastic zone. The stress at the corner point is analyzed
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V. F. Bakirov and R. V. Gol’dshtein, “Leonov–Panasyuk–Dugdale model of an interface crack,” Prikl. Mat. Mekh., 68, No. 1, 170–179 (2004).
F. D. Gakhov, Boundary-Value Problems [in Russian], Nauka, Moscow (1977).
A. A. Kaminsky and S. B. Nizhnik, “Study of the laws governing the change in the plastic zone at the crack tip and characteristics of the fracture toughness of metallic materials in relation to their structure (survey),” Int. Appl. Mech., 31, No. 10, 777–798 (1995).
A. A. Kaminsky, G. I. Usikova, and E. A. Dmitrieva, “Experimental study of the distribution of plastic strains near a crack tip during static loading,” Int. Appl. Mech., 30, No. 11, 992–897 (1994).
B. Noble, Methods Based on the Wiener–Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London (1958).
V. Z. Parton and P. I. Perlin, Methods of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1981).
Ya. S. Uflyand, Integral Transforms in Problems of Elasticity [in Russian], Nauka, Leningrad (1967).
G. P. Cherepanov, Brittle Fracture Mechanics [in Russian], Nauka, Moscow (1974).
S. A. Kaloerov, “Determining the intensity factors for stresses, electric-flux density, and electric-field strength in multiply connected electroelastic anisotropic media,” Int. Appl. Mech., 43, No. 6, 631–637 (2007).
A. A. Kaminsky, M. V. Dudik, and L. A. Kipnis, “On the direction of development of a thin fracture process zone at the tip of an interfacial crack between dissimilar media,” Int. Appl. Mech., 42, No. 2, 136–144 (2006).
A. A. Kaminsky, M. V. Dudik, and L. A. Kipnis, “On the initial kinking of an interface crack between elastic media,” Int. Appl. Mech., 43, No. 10, 1090–1099 (2007).
A. A. Kaminsky, M. V. Dudik, and L. A. Kipnis, “Initial development of the prefracture zone near the tip of a crack reaching the interface between dissimilar media,” Int. Appl. Mech., 40, No. 2, 176–182 (2004).
A. A. Kaminsky, L. A. Kipnis, and G. A. Khazin, “A criterion for the onset of growth of two shear cracks in an elastic body under plane-strain conditions,” Int. Appl. Mech., 42, No. 4, 439–446 (2006).
A. A. Kaminsky, E. E. Kurchakov, and G. V. Gavrilov, “Study of the plastic zone near a crack in an anisotropic body,” Int. Appl. Mech., 42, No. 7, 749–764 (2006).
A. A. Kaminsky, E. E. Kurchakov, and G. V. Gavrilov, “Formation of a plastic zone in an anisotropic body under loads acting along a crack,” Int. Appl. Mech., 43, No. 5, 475–490 (2007).
A. A. Kaminsky and M. F. Selivanov, “Growth of a mode II crack in an orthotropic plate made of a viscoelastic composite material,” Int. Appl. Mech., 42, No. 9, 1036–1044 (2006).
A. A. Kaminsky, L. A. Kipnis, and V. A. Kolmakova, “Model of the fracture process zone at the tip of a crack reaching the nonsmooth interface between elastic media,” Int. Appl. Mech., 44, No. 10, 1084–1092 (2008).
V. V. Loboda and A. E. Sheveleva, “Determining prefracture zones at a crack tip between two elastic orthotropic bodies,” Int. Appl. Mech., 39, No. 5, 566–572 (2003).
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Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 59–69, February 2009.
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Kipnis, L.A., Polishchuk, T.V. Analysis of the plastic zone at the corner point of interface. Int Appl Mech 45, 159–168 (2009). https://doi.org/10.1007/s10778-009-0170-2
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DOI: https://doi.org/10.1007/s10778-009-0170-2