Repository: Freie Universität Berlin, Math Department

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

Gussmann, Pascal and Mielke, Alexander (2020) Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks. Advances in Calculus of Variations, 13 (1). pp. 1-20.

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Official URL: https://doi.org/10.1515/acv-2017-0010

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 Γ-converge to the linearized elastic energy with a local constraint of non-interpenetration along the crack.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2214
Deposited By: Silvia Hoemke
Deposited On:15 Feb 2018 16:31
Last Modified:24 Jan 2022 15:37

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