The Junction Problem for Two Weakly Curved Inclusions in an Elastic Body

Сибирский математический журнал

article

A. M. Khludnev¹  T. S. Popova⁴ 

[1] Mathematical Center in Akademgorodok;Sobolev Institute of Mathematics;Lavrentiev Institute of Hydrodynamics;Ammosov North-Eastern Federal University

关键词: boundary value problem;    elastic body;    inclusion;    crack;    junction conditions;   

DOI  :  10.1134/S003744662004014X

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Under study are the boundary value problems that describe the equilibria of two-dimensional elastic bodies with thin weakly curved inclusions in the presence of delamination, which means that there is a crack between the inclusions and an elastic body. Some inequality-type nonlinear boundary conditions are imposed on the crack faces that exclude mutual penetration. This puts the problems into the class of those with unknown contact area. We assume that the inclusions have a contact point, find boundary conditions at the junction point, and justify passage to infinity with respect to the rigidity parameter of the thin inclusion. In particular, we obtain and analyze limit models.

【 授权许可】

CC BY