Coupled electro-mechanical surface responses induced by electro-mechanical loading moving steadily on piezoelectric half-plane solids

Abstract

This paper investigates the coupled electro-mechanical surface responses of piezoelectric materials under electro-mechanical surface loading moving steadily with subsonic speed on a piezoelectric half-plane boundary. The electro-mechanical surface responses are exhibited through the elements of four matrices L−1(v), S(v)L−1(v), Ω(v) and Γ(v) for general anisotropic piezoelectric materials. For monoclinic piezoelectric materials with the plane of symmetry at x3=0 and for transversely isotropic piezoelectric materials, explicit expressions of the elements of these four matrices are further exploited in terms of generalized elastic stiffnesses. Numerical example is given for PZT-5H material to illustrate the coupled phenomena of the mechanical (electrical) deformations induced by electrical (mechanical) loadings as the subsonic speed of electro-mechanical surface loading varies.