Transient response of thermopiezoelectric finite composite cylinder

Abstract

In this thesis, a complete solution of transient responses of a transversely isotropic thermopiezoelectric finite composite cylinder under axisymmetric boundary conditions is presented. In the formulation, the temperature field is governed by Fourier heat conduction and assumed to be fully uncoupled. A series solution of the temperature field is obtained first in a Laplace transform space. A potential function technique is then applied to decouple the thermoelectromechanical governing equations and their general series solutions are obtained via standard procedure. The general solution is presented in terms of Fourier-Bessel series of trigonometric and hyperbolic functions. The boundary value problems corresponding to uniform temperature and mechanical loading at the outer curve surface of the cylinder are presented. Two types of mechanicals loading are considered in the present study, i.e., constant and banded loadings. A selected numerical technique is adopted to efficiently perform the Laplace transform inversion of all quantities. Selected numerical results for thermopiezoelectric filed of a cylinder are presented for both transient and steady states. Influence of various governing parameters on the response of piezoelectric cylinder are investigated and discussed.