Critical points in the energy of hyperelastic materials

DOI10.1051/m2an/1990240101031zbMath0692.73015OpenAlexW2584404905MaRDI QIDQ3034921

P. Quintela-Estevez

Publication date: 1990

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193585

zbMATH Keywords

local minimizersinverse function theorempolconvexitypositivity of the second variation of the energypure displacement problemsmall body forcesW(sup 1, infinity)-topologyW(sup 1,p)-topology

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items

A nonlinear Korn inequality with boundary conditions and its relation to the existence of minimizers in nonlinear elasticity, Minimizers with topological singularities in two dimensional elasticity, Energy minimizers in nonlinear elastostatics and the implicit function theorem

Cites Work

• Symmetry and bifurcation in three-dimensional elasticity. II
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• Teoremi di esistenza e unicita in elastostatica finita
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• Convexity conditions and existence theorems in nonlinear elasticity
• Symmetry and bifurcation in three-dimensional elasticity. I
• Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material
• On potential wells and stability in nonlinear elasticity
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