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Starting of an Interfacial Crack with Contacting Faces from the Corner Point of a Polygonal Interface

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International Applied Mechanics Aims and scope

The parameters of a small-scale failure zone in the bonding material of a piecewise-homogeneous body under plane strain condition are determined using the Wiener–Hopf method. The failure zone is located at the end of an interface crack with tip at the corner point of the polygonal interface of the materials. The crack faces contact according to the law of dry friction. The failure zone is modeled by discontinuity line of the normal displacement on which the normal stress is equal to the tensile strength of the bonding material. Expressions for the length of the failure zone, the opening displacement of the crack faces, and local stress field near the crack tip are derived. The starting mechanism of the initial crack is described. It is assumed that a microcrack nucleates in some part of the failure zone and coalesces with the initial crack with increasing load. The dependence of the parameters of the failure zone, the microcracks, and the limiting load on the load and the parameters of the composite are analyzed numerically.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St, Kyiv, 03057, Ukraine

    A. O. Kaminsky

  2. Pavlo Tychina Uman State Pedagogical University, 2 Sadova St, Kyiv, 20300, Ukraine

    M. V. Dudyk & V. M. Fen’kiv

Authors
  1. A. O. Kaminsky
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  2. M. V. Dudyk
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  3. V. M. Fen’kiv
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Correspondence to M. V. Dudyk.

Additional information

Translated from Prykladna Mekhanika, Vol. 58, No. 5, pp. 39–51, September–October 2022.

This study was sponsored by the budgetary program Support of Priority Areas of Research (KPKVK 6541230).

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Kaminsky, A.O., Dudyk, M.V. & Fen’kiv, V.M. Starting of an Interfacial Crack with Contacting Faces from the Corner Point of a Polygonal Interface. Int Appl Mech 58, 533–544 (2022). https://doi.org/10.1007/s10778-023-01178-1

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