A comparison between the incremental and deformation theories to analyze elastoplastic buckling of thin rectangular plates by GDQ method

In this paper elastoplastic buckling of thin rectangular plates are analyzed with deformation theory (DT) and incremental theory (IT) and the results are investigated under different loads and boundary conditions. Load is applied in plane and in uniform tension and compression form. The used material is AL7075T6 and the plate geometry is. The Generalize Differential Quadrature method is employed as numerical method to analyze the problem. The influences of loading ratio، plate thickness and various boundary conditions on buckling factor were investigated in the analysis using both incremental and deformation theories. In thin plates the results obtained from both plasticity theories are close to each other، however، with increasing the thickness of plates a considerable difference between the buckling loads obtained from two theories of plasticity is observed. The results are compared with those of others published reports. Moreover، for some different situations new results are presented. Some new consequences are achieved regarding the range of validation of two theories.