Crack Growth Laws from Symmetry
Materials Science
2007-05-23 v1
Abstract
Reviewing work done in collaboration with Jennifer Hodgdon, we derive the most general crack growth law allowed by symmetry for mixed-mode three-dimensional fracture. We do so using the system developed in condensed matter physics to derive new laws that emerge on long length and time scales. In our derivation, we provide a symmetry interpretation for the three modes of fracture, we rederive the law giving the crack growth direction in two dimensional fracture, and we derive a growth law appropriate for three dimensional simulations. We briefly discuss related work subsequent to ours, incorporating disorder, dynamics, and other internal variables.
Cite
@article{arxiv.cond-mat/0206192,
title = {Crack Growth Laws from Symmetry},
author = {James P. Sethna},
journal= {arXiv preprint arXiv:cond-mat/0206192},
year = {2007}
}