Mathematical modeling of contact interaction of two electroelastic half-spaces under compression with rigid disc-shaped inclusion between them

Abstract

A mathematical model is developed for analyzing the contact interaction of two electroelastic transversely isotropic half-spaces under compression in the presence of a rigid disc-like inclusion of a constant thickness between them. The model is based on a consideration of the coupled system of electroelasticity equations for each of the piezoelectric half-spaces. The analytical solution of the problem is obtained by means of a general representation of solutions of the equations of electroelasticity on the basis of harmonic functions, reducing the problem to the consideration of the integral equation and the expansion of the unknown function with respect to a small parameter. As a particular case, the contact parameters for the two elastic transversely-isotropic half-spaces follow from the expressions obtained (if there is an inclusion between them). Numerical studies have been carried out, the influence of the connectedness of force and electric fields on the parameters of the contact interaction was studied.