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Linearization of elasticity models for incompressible materials (2004.09286v1)
Published 20 Apr 2020 in math.AP, math-ph, math.MP, and math.OC
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.