The Graves Condition for Incompressible Finite Elasticity

DOI10.1177/1081286503008003004zbMath1050.74009OpenAlexW1975036504MaRDI QIDQ4467279

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Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1177/1081286503008003004

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (1)

Necessary conditions at the boundary for minimizers in incompressible finite elasticity

Cites Work

• Two-phase deformations of elastic solids
• An admissibility condition for equilibrium shocks in finite elasticity
• Discontinuous deformation gradients in plane finite elastostatics of incompressible materials
• A relaxation theorem and its application to the equilibrium of gases
• One-parameter families of isochoric deformations
• Equilibrium of bars
• Minimization in incompressible nonlinear elasticity theory
• Locally one-to-one mappings and a classical theorem on schlicht functions

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