Buckling Paradox And Anisotropic Plastic Plate Bifurcation

Anisotropic elastic/plastic plate bifurcation is investigated. The pre-bifurcation loading consists of biaxial stresses along ξν axes parallel to the sides of a simply supported rectangular plate: ννξξσασ=,11α−≤≤. The ξν axes are at an angle βwith the xy principal axes of anisotropy. Analytical variational method is used together with Hill’s theory of anisotropic strain-hardening plasticity. Bifurcation stresses are determined for the anisotropic, and the classical isotropic incremental and deformation theories of plasticity, for equibiaxial compression(1)α=, equal compression and tension(1)α=−, and uniaxial (0)α=cases. The plastic plate buckling paradox is examined for each of the cases.