An approximate scheme for determining the stress concentration around a thin elastic interface inclusion in a bimaterial periodically layered space

Summary.

 The three-dimensional problem of stress concentration around a thin elastic interface inclusion in a periodic two-layered space is investigated. An approximate analysis is performed within the framework of the homogenized model of linear elasticity with microlocal parameters and using some relations for the interaction of the inclusion with the matrix. Such an approach has made it possible to reduce the problem under study to the corresponding problem of the interface crack occupying the equatorial section of the inclusion. The resulting boundary-value problems lead to a system of two-dimensional integro-differential singular equations. The solution is found and discussed for the case of an ellipsoidal thin inclusion in uniform tension at infinity.