The problem of finding mechanical and electric fields in a piezo-elastic half-space with elastic inclusion is considered. The inclusion is loaded with forces of constant intensity. The tangential contact stresses along the contact surface are determined and the behavior of the contact stresses in the neighborhood of singular points is established. By using methods of the theory of analytic functions, the problem is reduced to a singular integro-differential equation in a finite interval. Using an integral transformation a Riemann problem is obtained, and the solution is presented in its explicit form.
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