Stochastic nonlinear bending response of piezoelectric functionally graded beam subjected to thermoelectromechanical loadings with random material properties

This study deals with the stochastic nonlinear bending response of functionally graded materials (FGMs) beam with surface bonded piezoelectric layers subjected to thermoelectromechanical loadings with uncertain material properties. The random material properties FGMs and piezoelectric modeled as basic random variables. The temperature field considered is assumed to be uniform and non-uniform distribution over the plate thickness and electric field is assumed to be the transverse components Ez only. The basic formulation is based on higher order shear deformation theory (HSDT) with von-Karman nonlinear strain kinematic. A direct iterative based C0 nonlinear finite element method combined with first order perturbation technique (FOPT) is used to compute the second order statistics (mean and coefficient of variation) of the nonlinear transverse central deflection. The effects of temperature dependent and independent material properties; slenderness ratios, volume fraction index, boundary conditions, uniform and nonuniform temperature distribution and surface bonded piezoelectric layers acting top and/or bottom of the FGM beam and thermoelectromechanical loadings with random material properties on the nonlinear transverse central deflection have been presented in detail through parametric studies. The results have been validated with independent Monte Carlo simulation and those available in literature.