By using the Wiener–Hopf method, within the framework of the “trident” model, we compute a small-scale plastic zone formed under conditions of plane deformation at the corner point of the interface of two different elastoplastic materials in the presence of a mode I crack originating from this point. The indicated zone is modeled by two symmetric lateral lines of discontinuities of tangential displacements and the line of discontinuity of normal-displacement on the continuation of the crack. We deduce analytic expressions for the evaluation of the sizes of the plastic zone and crack opening displacements. On the basis of numerical investigations, we analyze the dependences of parameters of this zone on the opening angle of the interface and the elastic characteristics of the materials.
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The authors are grateful to Prof. L. A. Kipnis for his valuable advice and comments.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 50, No. 4, pp. 41–48, July–August, 2014.
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Dudyk, M.V., Dikhtyarenko, Y.V. “Trident” Model of Plastic Zone at the End of a Mode I Crack Appearing on the Nonsmooth Interface of Materials. Mater Sci 50, 516–526 (2015). https://doi.org/10.1007/s11003-015-9749-4
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DOI: https://doi.org/10.1007/s11003-015-9749-4