We obtain linear elasticity as Γ-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.
Linearization of elasticity models for incompressible materials
Mainini, Edoardo;Percivale, Danilo
2022-01-01
Abstract
We obtain linear elasticity as Γ-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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