Linearization of elasticity models for incompressible materials
Abstract
We obtain linear elasticity as $\Gamma$-limit of finite elasticity under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class of energy densities for rubber-like materials.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.09286
- arXiv:
- arXiv:2004.09286
- Bibcode:
- 2020arXiv200409286M
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- Mathematics - Optimization and Control