Nonlinear thermoelastic analysis of circular sandwich plates with functionally graded core

In this article، nonlinear axisymmetric bending analysis of sandwich circular plates with homogeneous face sheet and functionally graded core subjected to thermo - mechanical loads is presented. The formulations are based on first-order shear deformation plate theory (FSDT) and large deflection von Karman equations. The nonlinear equilibrium equations are solved using the dynamic relaxation (DR) method combined with the finite difference discretization technique. Material properties are compare to be temperature-dependent and temperature-independent. In order to verify the current work some obtained results are compared with Abaqus finite element method. Finally، The influences of material grading index، boundary conditions،tempresure، core-to-face sheets thickness ratio on the results are studied in detail. Also، in order to investigate the differences between the linear and nonlinear solutions some results are presented based on both linear and nonlinear analysis. Some results indicate that variation of core-to-face sheets thickness ratiohas greater effect on the results of annular geometry compared to circular one.