Conformal Dynamics of Precursors to Fracture
Materials Science
2009-11-07 v2
Abstract
An exact integro-differential equation for the conformal map from the unit circle to the boundary of an evolving cavity in a stressed 2-dimensional solid is derived. This equation provides an accurate description of the dynamics of precursors to fracture when surface diffusion is important. The solution predicts the creation of sharp grooves that eventually lead to material failure via rapid fracture. Solutions of the new equation are demonstrated for the dynamics of an elliptical cavity and the stability of a circular cavity under biaxial stress, including the effects of surface stress.
Keywords
Cite
@article{arxiv.cond-mat/0212100,
title = {Conformal Dynamics of Precursors to Fracture},
author = {Felipe Barra and Mauricio Herrera and Itamar Procaccia},
journal= {arXiv preprint arXiv:cond-mat/0212100},
year = {2009}
}
Comments
4 pages, 3 figures