Calculus of Variations and Geometric Measure Theory
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E. Mainini - D. Percivale

Linearization of elasticity models for incompressible materials

created by mainini on 21 Apr 2020

[BibTeX]

Preprint

Inserted: 21 apr 2020

Year: 2020

ArXiv: 2004.09286 PDF

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.

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