Anisotropic plastic plate bifurcation and the buckling paradox


Abstract eng:
Anisotropic elastic/plastic buckling of plates is approached as a bifurcation problem. The pre-buckling loading stresses σ νν = ασ ξξ ,−1 ≤ α ≤ 1, 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.

Publisher:
Taylor and Francis Group, London, UK
Conference Title:
Conference Title:
Sixth International Conference on Structural Engineering, Mechanics and Computation
Conference Venue:
Cape Town, South Africa
Conference Dates:
2016-09-05 / 2016-09-07
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2016-09-20, last modified 2016-09-20


Original version of the author's contribution as presented on CD, 143.pdf.:
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