Nonlinear dynamic thermal buckling behavior of FG-GPLRC spherical shells and circular plates with porous core

Abstract

A semi-analytical approach for dynamic buckling of sandwich functionally graded graphene platelet-reinforced composite (FG-GPLRC) spherical shells and circular plates under dynamic thermal loads with porous core is reported in the present research. Based on the higher-order shear deformation theory (HSDT), the formulations are established, and the large deflection nonlinearity of von Karman with the visco-elastic model of the nonlinear foundation is applied. The structure's nonlinear equations of motion can be obtained utilizing the Euler-Lagrange equations combined with Rayleigh dispersion functions. The dynamic thermal load is assumed to be a linear function of time. Numerical studies are investigated employing the Runge-Kutta method to obtain the dynamic thermal behavior, and the dynamic criterion of Budiansky-Roth can be used to determine the critical buckling temperature. Significant remarks on the dynamic thermal behavior of structures are presented through the investigated examples.