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

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878926380.pdf (428.67 KB)

Date

2016

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Advisor

Volume

2359

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Journal

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WIAS Preprints

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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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Keywords

Gamma convergence, Mosco convergence, finite-strain elasticity, rigidity estimate for crack domains, contact, global injectivity, local non-interpenetration condition

Keywords GND

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Report

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publishedVersion

URI

https://doi.org/10.34657/2611
 https://oa.tib.eu/renate/handle/123456789/2311

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Mathematik
WIAS Preprints

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