Search

MiS Preprint Repository

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
19/2002

On the dynamics of cracks in three dimensions

Gerardo Oleaga

Abstract

We introduce a three dimensional dynamic crack propagation law, which is derived from Hamilton's principle. The result is an extension of a previous one obtained, corresponding to the two dimensional case.

As a matter of fact, in an orthogonal plane to the crack front, the geometric condition to be satisfied over the path is the same as in two dimensions. The third mode enters only through the energy release rate. The fact that the physics of the problem is locally two dimensional is a consequence of the virtual motions allowed in the set of possible crack configurations.

Received:
20.02.02
Published:
20.02.02
MSC Codes:
74-XX
PACS:
60.
Keywords:
dynamic fracture, variational principles, crack propagation law

Related publications

inJournal
2003 Repository Open Access
Gerardo E. Oleaga

On the dynamics of cracks in three dimensions

In: Journal of the mechanics and physics of solids, 51 (2003) 1, pp. 169-185