Exact solutions of a new, 2D frictionless contact model for orthotropic piezoelectric materials indented by a rigid sliding punch

Abstract

A theoretical analysis of two-dimensional frictionless sliding contact over orthotropic piezoelectric materials indented by a rigid sliding punch is carried out using a real fundamental solution approach. The actual sliding motion does occur, which is different from the classical sliding contact, and the Galilean transformation is introduced to make the governing equations containing the inertial terms tractable. A system of Cauchy singular integral equations is derived and exact solutions are obtained for the cases of a conducting flat punch and a cylindrical punch, respectively. Explicit expressions of various stresses and electric displacement for each case of eigenvalue distribution of the corresponding characteristic equation are obtained. Numerical results are presented to justify the validity of exact solutions. The effects of various mechanical-electric and geometrical loadings, dimensionless sliding speed and punch foundation profiles on the surface contact stress, surface electric charge and surface in-plane stress are presented. The singular behaviors at the edges of the punch are also revealed.