Geometrically non linear analysis of functionally graded material plates using higher order theory

Abstract

The analysis of functionally graded material (FGM) plates with material variation parameter (n), boundary conditions, aspect
ratios and side to thickness ratios are investigated using higher order displacement model. The derivation of equations of motion
for higher order displacement model is obtained using principle of virtual work. The nonlinear simultaneous equations are obtained by Navier’s method considering certain parameters, loads and boundary conditions. The nonlinear algebraic equations are solved using Newton Raphson iterative method. The numerical results are obtained for various boundary conditions, material variation parameter, aspect ratio, side to thickness ratio and compared with the available solutions. The effect of shear deformation and nonlinearity response of functionally graded material plate is studied.