Contact Interaction of Two Piezoelectric Half-Spaces, One of Which Contains a Near-Surface Notch of Elliptical Cross-Section

Based on a rigorous mathematical statement that takes into account the coupling of the mechanical and electric fields, the problem of the compression of two electroelastic transversely isotropic half-spaces is solved. One of the half-spaces contains an inclined near-surface notch of elliptical cross-section. The analytical solution of the problem is found by representing the solution of the static equations of electroelasticity in terms of harmonic functions and by reducing the boundary-value problem to an integro-differential equation with an unknown domain of integration. As a partial case, the parameters of the contact of two elastic transversely isotropic half-spaces (if one of them has a notch of elliptical cross-section), as well as the parameters of the contact interaction of two electroelastic half-spaces, one of which contains a an axisymmetric notch, are obtained from the analytical expressions. Numerical results are obtained. The effect of the electroelastic properties of the half-spaces, the geometrical parameters of the notch, and loading on the contact interaction as well as the closure of the gap between the bodies is studied.