Bifurcation of solutions of statics problems of the nonlinear theory of elasticity

DOI10.1016/0021-8928(87)90067-0zbMath0652.73030OpenAlexW2007509691MaRDI QIDQ1107359

A. A. Zelenin, Leonid M. Zubov

Publication date: 1987

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(87)90067-0

zbMATH Keywords

solvabilityLyapunov-Schmidt methodasymptotic representationscritical loadsthree-dimensional equationsthick-walled cylinderNecessary and sufficient conditionsequilibrium modeconservative external forcesinhomogeneous linearized boundary value problempost-critical behaviour

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Behaviour of a thick circular slab after buckling

Cites Work

• On uniqueness conditions in the small for the state of hydrostatic compression of a solid
• Variational principles of the nonlinear theory of elasticity
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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