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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
30/2004

On the path of a quasistatic crack in Mode III

Gerardo Oleaga

Abstract

We present an approach to study the path of a crack growing in a quasistatic regime in a brittle body. The propagation process is modelled by a sequence of discrete steps optimizing the elastic energy released. A detailed study of the Mode III case is presented. We obtain an explicit relationship between the optimal growing direction and the parameters defining the local elastic field around the tip. This allows to describe a simple algorithm to compute the crack configuration. A comparison with other models proposed for the same problem is provided as well.

Received:
May 13, 2004
Published:
May 13, 2004
MSC Codes:
74
PACS:
62.20.Mk
Keywords:
crack propagation, discrete model, linear elasticity

Related publications

inJournal
2004 Repository Open Access
Gerardo E. Oleaga

On the path of a quasi-static crack in mode III

In: Journal of elasticity, 76 (2004) 2, pp. 163-189