Linearization of elasticity models for incompressible materials

Zeitschrift für angewandte Mathematik und Physik（2022）

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摘要

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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关键词

Calculus of variations,Linear elasticity,Finite elasticity,Gamma-convergence,Rubber-like materials

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