Phase Field Modeling of Fast Crack Propagation
Materials Science
2009-11-11 v1
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 phase field model for elastically induced phase transitions; in the limit of small or vanishing elastic coefficients in the new phase, fracture can be studied. The simulations confirm analytical predictions for fast crack propagation.
Cite
@article{arxiv.cond-mat/0508543,
title = {Phase Field Modeling of Fast Crack Propagation},
author = {Robert Spatschek and Miks Hartmann and Efim Brener and Heiner Mueller-Krumbhaar and Klaus Kassner},
journal= {arXiv preprint arXiv:cond-mat/0508543},
year = {2009}
}
Comments
5 pages, 11 figures