Longitudinal shear of an elastic medium with a thin rectilinear sharp-pointed piezoelectric inclusion of low rigidity

We propose a method for the investigation of the stress-strain state near the edges of a sharp-pointed, thin, rectilinear, piezoelectric inclusion of varying thickness and low rigidity located in an elastic isotropic medium. The method is based on the combination of an asymptotic analysis of solutions of the problem and the method of singular integral equations, the numerical realization of which is based on the Kantorovich regularization procedure of divergent integrals and the collocation method.