Plastic buckling of rectangular plates under combined uniaxial and shear stresses

Abstract

This paper deals with the plastic buckling of rectangular plates under uniaxial compressive and shear stresses. In the prediction of the plastic buckling stresses, we have adopted both the incremental theory (IT) and deformation theory (DT) of plasticity for capturing the inelastic behavior, the Mindlin plate theory (allowing for the effect of transverse shear deformation) for modelling the plate, the Ramberg-Osgood stress strain relation for the plate material, and the Ritz method for the buckling analysis. The interaction curves of the plastic uniaxial buckling stress and the plastic shear buckling stress for thin and thick rectangular plates are presented for various aspect ratios. The effect of transverse shear deformation is examined by comparing the interactions curves obtained based on the Mindlin plate theory and the classical thin plate theory. The normalized interaction curves based on DT are found to be bounded by Peters' interaction formula and the elastic interaction formula.