Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations

In this paper, the singular integral equations are written for anisotropic plates with elastic anisotropic inclusions in a simple form based on simple dependencies between the Lekhnitskii complex potentials and stress and strain [5]. The numerical method for solving integral equations is developed by the mechanical quadrature formulas. Simplicity, precision of the application and stability of obtained numerical solution is illustrated in stress calculations with controlled accuracy in anisotropic plates: with inclusions of arbitrary shapes; with a system of inclusions, including periodic one; at tension at infinity and concentrated forces applied to inclusions.