The influence of the shape and location of orthotropic inclusion on the stress state of an anisotropic body under longitudinal shear

The stress state of an infinite anisotropic body (matrix) with a smooth curvilinear ortho­tropic inclusion under longitudinal shear was studied. The two-dimensional problem of the theory of elasticity for a piecewise homogeneous anisotropic body is reduced to a system of two real singular integral equations of the second kind, the numerical solutions of which are obtained by the quadrature method. The influence of the shape and location of the orthotropic inclusion on the stress state of a piecewise homogeneous body for a some series of values of elastic constant orthotropic materials of the matrix and inclusion is defined. The found distributions of longitudinal shear stresses at the interface of materials for various geometric and mechanical parameters of the problem were analyzed.