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Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks

2016, Gussmann, Pascal, Mielke, Alexander

The small-deformation limit of finite elasticity is considered in presence of a given crack. The rescaled finite energies with the constraint of global injectivity are shown to Gamma-converge to the linearized elastic energy with a local constraint of non-interpenetration along the crack.