Elastostatic problem for an interface rigid inclusion in a periodic two-layer space

The article is devoted to the elastostatic three-dimensional problem of an interface sheet-like inclusion (anticrack) embedded into a periodic two-layered unbounded composite. An approximate analysis is carried out within the framework of the homogenized model with microlocal parameters. The formulation and the method of solving the general problem for an arbitrarily shaped inclusion is presented. As an example illustrating this method, the problem for a rigid circular inclu- sion under perpendicular tension is solved explicitly and discussed from the point of view of failure theory.