On nonlinearly elastic membranes under compression.

DOI10.1007/S11401-005-0182-0zbMath1117.74033OpenAlexW2052520747MaRDI QIDQ2432002

Karim Trabelsi

Publication date: 24 October 2006

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-005-0182-0

zbMATH Keywords

quasiconvexitynonexistence of minimizers

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Membranes (74K15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• A justification of nonlinear properly invariant plate theories
• Non-existence of minimizers for a nonlinear membrane plate under compression.
• Existence of minimizing solutions around ``extended states for a nonlinearly elastic clamped plane membrane
• Existence of minimizers for non-quasiconvex integrals
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• Existence of a solution for a nonlinearly elastic plane membrane subject to plane forces.
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material
• Optimal design and relaxation of variational problems, II
• Dérivation des modèles de plaques membranaires non linéaires à partir de l'élasticité tri-dimensionnelle
• Remarks on Nonlinear Membrane Shell Problems
• The quasiconvex envelope of the Saint Venant–Kirchhoff stored energy function
• Relaxation of singular functionals defined on Sobolev spaces
• Existence of a solution for a nonlinearly elastic plane membrane “under tension”
• Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
• Semicontinuity problems in the calculus of variations
• Direct methods in the calculus of variations

This page was built for publication: On nonlinearly elastic membranes under compression.