Taking into account the partial delamination of the interfacial thin inclusion in the conditions of longitudinal shear of the bimaterial

Abstract

The problem of longitudinal displacement of a bi-material with a thin inclusion of arbitrary physical and mechanical nature at the interface of the matrix materials is considered. The bulk is loaded by normal compression and various force factors in the longitudinal direction. The possibility of partial delamination of a part of the boundary between the inclusion and the matrix, where dry friction slip occurs, is assumed. A complete system of equations is formulated to determine the unknown quantities of the problem. It is proposed to construct the solution using the structural modular method of jump functions, a description of which is given. A condition for the appearance of a slip zone on the inclusion–matrix boundary is formulated. A convergent iterative algorithm for numerically analytical determination of the size of this zone is developed. Cite as: Yo. Z. Piskozub, “Taking into account the partial delamination of the interfacial thin inclusion in the conditions of longitudinal shear of the bimaterial ,” Prykl. Probl. Mekh. Mat. , Issue 18, 162–167 (2020) (in Ukrainian), https://doi.org/10.15407/apmm2020.18.162-167