Behaviour of a thick circular slab after buckling

DOI10.1016/0021-8928(88)90040-8zbMath0723.73050OpenAlexW2077790527MaRDI QIDQ757143

A. A. Zelenin, Leonid M. Zubov

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90040-8

zbMATH Keywords

circular cylindercritical loadsaxisymmetric bucklingAsymptotic representationsBifurcation of the cylinder equilibrium modebranching solutionsendfaces are freeinitial post-critical behaviourlateral surface is clampedneo-Hookean material compressed uniformly along the lateral surface

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Bifurcation and buckling (74G60) Bifurcations in context of PDEs (35B32)

Related Items

On the peculiarities of the loss of stability of a nonlinear elastic rectangular bar

Cites Work

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• Bifurcation of solutions of statics problems of the nonlinear theory of elasticity
• Buckling of plates made of a neo-Hookean material in the case of affine initial deformation