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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
29/2008

Damage as Gamma-limit of microfractures in anti-plane linearized elasticity

Lucia Scardia

Abstract

A homogenization result is given for a material having brittle inclusions arranged in a periodic structure. According to the relation between the softness parameter and the size of the microstructure, three different limit models are deduced via Gamma-convergence. In particular, damage is obtained as limit of periodically distributed microfractures.

Received:
Mar 31, 2008
Published:
Jun 3, 2008
MSC Codes:
74Q99, 74R05, 74R10
Keywords:
Brittle fracture, damage, homogenization

Related publications

inJournal
2008 Repository Open Access
Lucia Scardia

Damage as Gamma-limit of microfractures in anti-plane linearized elasticity

In: Mathematical models and methods in applied sciences, 18 (2008) 10, pp. 1703-1740