Elastic/plastic Buckling Analysis of Skew Thin Plates based on Incremental andDeformation Theories of Plasticity using Generalized Differential QuadratureMethod

In this study, generalized differential quadrature analysis of elastic/plastic buckling of skew thin plates ispresented. The governing equations are derived for the first time based on the incremental anddeformation theories of plasticity and classical plate theory (CPT). The elastic/plastic behavior of plates isdescribed by the Ramberg-Osgood model. The ranges of plate geometries are 0.5 £ a/b £ 2.5 and 0.001 £h/b £ 0.05 under uniaxial uniform compression or biaxial compression/tension. Generalized differentialquadrature (GDQ) discretization rules in association with an exact coordinate transformation aresimultaneously used to transform and discretize the equilibrium equations and the related boundaryconditions. The accuracy of the results are compared with previously published results. Finally, the effectsof aspect, loading and thickness ratios, skew angle, incremental and deformation theories and differenttypes of boundary conditions on the buckling coefficient are presented. Moreover, the effect of skew angleand thickness ratio on the convergence and accuracy of the method are studied. Due to the lack ofpublished solutions for plastic buckling of skew thin plates and the high accuracy of the present approach,the solutions obtained may serve as benchmark values for further studies.