Asymptotical modeling of thermopiezoelastic laminates

Abstract

A general anisotropic laminated plate model with thermal deformation and two-way coupled piezoelectric effect and pyroelectric effect is constructed using the variational asymptotic method. Total potential energy contains strain energy, electric potential energy and energy caused by temperature change and external loads. The feature of small thickness and large in-plane dimension of plate structures helps to asymptotically simplify the three-dimensional analysis to a two-dimensional analysis on the reference surface and a one-dimensional analysis through the thickness. Several numerical examples are studied. The present model is validated by the excellent agreement between the results from 3D finite element analyses and the present model.