A plastic flow based plate buckling theory

摘要

A theory describing buckling of inelastic plates under in-plane compression is presented, in which material plasticity is modelled using the 'incremental' or flow-based approach. The theory overcomes the shortcomings of previous models, which were hampered by the 'plastic buckling paradox', by duly considering the effect of shear deformations on the internal stress state. A new constitutive shear equation is derived and the differential equations governing stability are presented. The new theory is verified against experimental data available in literature and excellent agreement is observed between predictions and experiment.