SOLUTION OF THE PROBLEMS OF ANTIPLANE DEFORMATION OF BODIES WITH THIN RIBBONLIKE INCLUSIONS BY THE METHODS OF INTEGRAL EQUATIONS--I. GENERAL RELATIONS

摘要

By the methods of singular integral equations, we construct a mathematical model of the antiplane deformation of a body containing thin ribbonlike elastic inclusions. In the model, we take into account the possibility of longitudinal deformation of the inclusion in two mutually perpendicular planes and deduce equations for the description of thin elastic anisotropic inclusions and determination of the stress-strain state of inhomogeneous structures by the dual method of boundary elements.