Y.-T. Zhou and K.Y. Lee
The present paper performs an exact electro-mechanical contact analysis for piezoelectric materials under a frictional sliding triangular or cylindrical punch. The Coulomb frictional law is used inside the contact region. Appropriate fundamental solutions that can lead to real solutions of electro-mechanical quantities are derived for real and complex eigenvalues. A second kind singular integral equation of Cauchy type is obtained for the stated problem, whose exact solution can be found by using the excellent properties of Jacobi Polynomials. Closed-form expressions of stress components and electrical displacement are obtained, which provide benchmark solutions for examining the frictional contact behaviors of piezoelectric materials. Numeric results are presented. The influences of the friction coefficient on the contact region, stress components and electric displacement are detailed.