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Crack Propagation as a Free Boundary Problem

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Abstract:

We present a continuum theory which predicts the steady state propagation of cracks. The theory overcomes the usual problem of a finite time cusp singularity of the Grinfeld instability by the inclusion of elastodynamic effects which restore selection of the steady state tip radius and velocity. We developed a sharp interface method and a phase field approach to investigate the model. The simulations confirm analytical predictions for fast crack propagation.

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Periodical:

Key Engineering Materials (Volumes 345-346)

Pages:

429-432

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.345-346.429

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Online since:

August 2007

Authors:

Robert Spatschek, Efim A. Brener, Denis Pilipenko

Keywords:

Crack Propagation, Grinfeld Instability, Pattern Formation, Phase-Field Method

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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