Numerical solution of the integral equations of elasto-plasticity for a homogeneous medium with several heterogeneous inclusions

► Elasto-plastic medium with several heterogeneous inclusions is considered. ► The problem is reduced to integral equations for the stress field in the vicinity of inclusions. ► The integral equations are discretized by Gaussian approximation functions. ► Fast Fourier Transform technique is used for the solution of the discretized equations. ► Stress and plastic strain fields in 2D and 3D-media with isolated inclusions are constructed.