Contact Interaction of Two Piezoelectric Transversely Isotropic Half-Spaces with Rigid Flat Inclusion of Arbitrary Shape Between Them

The problem of the compression of two electroelastic transversely isotropic half-spaces having different properties with a rigid flat inclusion of arbitrary shape between them is studied. When considering the problem, it is assumed that the surfaces of the half-spaces do not have electrode coatings. The regularities of contact interaction of two piezoelectric transversely isotropic half-spaces (with nonelectroded surfaces) with a flat inclusion of arbitrary shape under compression are determined on the basis of representation of the general solution of the system of static equations of electroelasticity for a transversely isotropic piezoelectric body using harmonic functions. A generalization of Gladwell’s result on the contact interaction of two isotropic elastic half-spaces with a rigid flat inclusion of arbitrary shape under compression is obtained for the case of interaction with an inclusion of two electroelastic transversely isotropic half-spaces. For a disk-shaped inclusion (the partial case of the problem), numerical studies have been carried out, and the effect of the electroelastic properties of half-spaces and the geometric dimensions of the inclusion on the parameters of contact interaction has been studied.