Periodic contact problems for a transversally isotropic layer

Three-dimensional periodic contact problems on infinite straight chains of punches acting on the face of a transversally isotropic elastic layer, the other face of which is under conditions of a sliding embedment, are studied. The isotropy planes are parallel or perpendicular to the layer faces. To solve contact problems, the method of nonlinear boundary integral equations is used, which makes it possible to simultaneously determine the contact area and contact pressures. Calculations are performed for known transversally isotropic materials.