Abstract
This chapter is concerned with the plastic buckling of thick plates. Considering the two plasticity theories (i.e., the incremental theory of plasticity with the Prandtl–Reuss constitutive equations and the deformation theory of plasticity with the Hencky stress–strain relation), the governing equations for plastic buckling of thick (Mindlin) plates are presented. These equations can be solved analytically for the plastic buckling solutions of (1) uniaxially and equibiaxially loaded rectangular plates with two opposite edges simply supported while the other two edges may take on any combination of free, simply supported, or clamped boundary condition, (2) uniformly in-plane loaded circular plates with either simply supported edge or clamped edge, (3) uniformly loaded annular plates with various edge conditions, and (4) uniformly loaded polygonal plates with simply supported edges.
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