We present the solution of the problem of process zone which develops under the condition of plain deformation from the tip of an interface crack that coincides with the corner point of the interface of two different materials. The process zone is modeled by the line of discontinuity of tangential displacements on the interface and by the lateral line of discontinuity of the normal displacements. The equation for finding the lengths of both discontinuity lines and the expression for the crack opening displacement are obtained. We study the influence of plasticity of the material of the joint on the direction and conditions of crack start.
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V. Z. Parton and E. M. Morozov, Mechanics of Elastoplastic Fracture [in Russian], Nauka, Moscow (1985).
M. V. Dudyk and Yu. V. Dikhtyarenko, “Investigation of the initial stage of kinking of an interface crack at an angular point of the interface of two media,” Fiz.-Khim. Mekh. Mater., 47, No. 5, 53–59 (2011); English translation : Mater. Sci., 47, No. 5, 627–635 (2011).
V. V. Panasyuk and M. P. Savruk, “Model for plasticity strips in elastoplastic failure mechanics,” Fiz.-Khim. Mekh. Mater., 28, No. 1, 49–68 (1992); English translation : Soviet Mater. Sci., 28, No. 1, 41–57 (1992).
P. S. Theocaris and E. E. Gdoutos, “Stress singularities in cracked composite full-planes,” Int. J. Fract., 13, No. 6, 763–773 (1997).
B. Noble, Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Chelsea Publ. Co., New York (1958).
M. V. Dudyk and Yu. V. Dikhtyarenko, “Development of the process zone from an interface crack at the corner point of the interface of two elastic media,” Mat. Met. Fiz.-Mekh. Polya, 54, No. 2, 52–59 (2011).
A. A. Kaminskii, L. A. Kipnis, and V. A. Kolmakova, “Slip line at the end of a notch on the interface of different media,” Prikl. Mekh., 31, No. 6, 86–91 (1995).
V. V. Panasyuk, Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 50, No. 1, pp. 45–52, January–February, 2014.
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Dudyk, М.V., Dikhtyarenko, Y.V. & Dyakon, V.М. Influence of the Plasticity of a Joining Material on the Kink of an Interface Crack at the Corner Point of the Interface of Media. Mater Sci 50, 46–54 (2014). https://doi.org/10.1007/s11003-014-9690-y
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DOI: https://doi.org/10.1007/s11003-014-9690-y