On concentrated loads at the boundary of a piezoelectric half-plane

Abstract

Two fundamental problems of the linear theory of piezoelectricity are studied from a theoretical point of view, namely, the cases of a point force and a point charge acting on a piezoelectric half-plane. Exact expressions for all relevant electroelastic variables are obtained through a state space methodology in conjunction with the Fourier transform. Numerical results are also provided to illustrate both qualitative and quantitative behavior of the induced electromechanical fields.