An analytical solution of three-dimensional steady thermodynamic analysis for a piezoelectric laminated plate using refined plate theory

Based on the refined plate theory, an analytical solution of three-dimensional thermodynamic analysis for a piezoelectric laminated plate under 3D steady temperature field is given in this paper. The refined plate theory has a lot in common with classical plate theory in many aspects, and the involved variables can be expressed as certain function type comparing with other shear deformation theories and exact solution, besides it does not need to use shear correction factor. In this study, the method of separation of variables is used to process the 3D temperature field, subsequently the Galerkin method in conjunction with the double Fourier serial method and Newmark method are applied to determine the closed-form solutions of deflection for thermodynamic problem. The results of this paper show that the fiber orientation, number of layers for laminated plate, thickness ratio between total thickness and thickness of piezoelectric layer, temperature distributed function and geometrical nonlinearity have great influence on the deflection, normal stress and shear stresses of the piezoelectric laminated plate. (C) 2016 Elsevier Ltd. All rights reserved.