Repository: Freie Universität Berlin, Math Department

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

Gussmann, P. and Mielke, A. (2017) Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks. Adv. Calc. Var. . (Submitted)

[img]
Preview
PDF
438kB

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
Additional Information:SFB 1114 Preprint at WIAS 12/2016
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:2214
Deposited By: Silvia Hoemke
Deposited On:15 Feb 2018 16:31
Last Modified:15 Feb 2018 16:42

Repository Staff Only: item control page