“…The elastic layer, as an important and frequently used model object, has been studied by many authors. Thus, in a static formulation, the axisymmetric contact problems for an elastic layer and strip are considered in [13][14][15], various mixed boundary-value thermoelasticity problems for a half-layer and a half-space in [16][17][18][19][20][21][22][23], layers with thermal loadings were considered in [24] with no static loading, where the conformal mapping method was used, dynamic problems were investigated in [25][26][27]. The papers [28,29] are devoted to solving elasticity problems for bodies with their proper weight.…”