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

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Date
2016
Volume
2359
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

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.

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