ABSTRACT
Anisotropic elastic/plastic buckling of plates is approached as a bifurcation problem. The pre-buckling loading stresses https://www.w3.org/1998/Math/MathML"> σ v v = α σ ξ ξ , − 1 ≤ α ≤ 1 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315641645/b418a55e-6395-48d6-80ed-51a6c3a2cc89/content/eq2348.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , are aligned with ξν support axes of a simply supported rectangular plate. The ξν axes are at an angle β with respect to the xy principal axes of anisotropy. Analytical variational method is employed with the usual assumptions, and Hill’s theory of anisotropic strain-hardening plasticity. Bifurcation stresses are found for the anisotropic, and the classical isotropic incremental and deformation theories of plasticity, for equibiaxial compression (α = 1), equal compression and tension (α = −1), and the uniaxial (α = 0) cases. Plastic buckling paradox is examined for all three cases.
