Bashir Behjat* and Mohamad Reza Khoshravan
The Journal of Mechanical Science and Technology, vol. 26, no. 8, pp.2581-2588, 2012

Abstract : "In this paper, static bending analysis of functionally graded plates with piezoelectric layers has been carried out considering geometrical nonlinearity in different sets of mechanical and electrical loadings. Only the geometrical nonlinearity has been taken into account. The governing equations are obtained using potential energy and Hamilton’s principle. The finite element model is derived based on constitutive equation of piezoelectric material accounting for coupling between elasticity and electric effect by using higher order elements. The present finite element used displacement and electric potential as nodal degrees of freedom. Results are presented for two constituent FGM plate under different mechanical boundary conditions. Numerical results for FGM plate are given in dimensionless graphical forms. Effects of material composition and boundary conditions on nonlinear response of the plate are also studied."

Keyword : Geometrically nonlinear analysis; Finite element method; Functionally graded plate; Piezoelectric layers; Static analysis