Elastoplastic buckling analysis of rectangular thick plates by incremental and deformation theories of plasticity

Abstract

In this study, the elastoplastic buckling behavior of thick plates under uniaxial, biaxial compression/tension, pure shear and combined shear, and uniaxial compression loading are analyzed using a stability analysis based on generalized differential quadrature method. Based on first-order shear deformation plate theory and incremental and deformation theories of plasticity, the nonlinear equilibrium equations are developed. Various combinations of clamped, simply supported, and free boundary conditions are considered. The governing equations and solution domain are discretized by the generalized differential quadrature method. The results are compared with known solutions in literature to verify the established methodology and procedures. The effects of aspect, loading and thickness ratios, shear correction factor, different boundary conditions, and behavior of material on the buckling coefficient are discussed. Finally, some mode shapes of various loading and boundary conditions are illustrated.