Врахування часткового відшарування пружного міжфазного тонкого включення в умовах поздовжнього зсуву біматеріалу

• Date: 2020
• Main Author: Piskozub, Yo. Z.; Піскозуб Й. З.; Українська академія друкарства, Львів; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів
• Format: Article
• Language: Ukrainian
• Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2020
• Subjects: поздовжній зсув; відшарування; тонке включення; біматеріал; функції стрибка; УДК 539.3
• Online Access: http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2020.18.162-167
• Journal Title: Prykladni Problemy Mekhaniky i Matematyky

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