Surface waves in piezoactive elastic system of a layer on a semi-space

A structure consisting of a layer and a semi-space, made of elastic piezoelectric materials, is considered. Unlike the known approaches to the problem, it is assumed that the layer and the semi-space can freely slide relative to each other. The problem of Gulyayev–Bleustein type surface wave propagation is investigated for four different variants of boundary conditions at the external surface of the layer. It is established, that in one case there exist two Gulyayev–Bleustein type waves, in two other cases there exists one such wave for each case, and in the last case there is no surface wave of mentioned type.