Analysis of stress and electric fields in a piezoelectric long solid cylinder under axisymmetric thermo-electro-mechanical loadings

Abstract

In this paper, an analytical solution for the displacement components and electric potential function is proposed for a piezothermoelastic long solid cylinder under general axisymmetric loadings. Governing equations, including thermal effects, for transversely isotropic piezoelectric material are presented in a cylindrical coordinate system. The most general form of the complementary and particular solutions for the displacement components and electric potential function are obtained in terms of a cosine and sinuous Fourier integral, as well as the temperature distribution function. Then, the general form of stress distributions and electric field are obtained using the constitutive equations. Finally, under some specific type of thermal boundary conditions, i.e. when the cylinder surface is under the heat convection of a flowing fluid or prescribed temperatures, as well as external pressure and electric charge, related stress and electric fields are obtained.