A damage-mechanics model for fracture nucleation and propagation
Abstract
In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block models. An array of elements is introduced in analogy to the fibers of a fiber bundle. Time to failure for each element is specified from a Poisson distribution. The hazard rate is assumed to have a power-law dependence on stress. When an element fails it is removed, the stress on a failed element is redistributed uniformly to a specified number of neighboring elements in a given range of interaction. Damage is defined to be the fraction of elements that have failed. Time to failure and modes of rupture propagation are determined as a function of the hazard-rate exponent and the range of interaction.
Keywords
Cite
@article{arxiv.1007.2180,
title = {A damage-mechanics model for fracture nucleation and propagation},
author = {G. Yakovlev and J. D. Gran and D. L. Turcotte and J. B. Rundle and W. Klein},
journal= {arXiv preprint arXiv:1007.2180},
year = {2010}
}
Comments
In Press, Corrected Proof, Available online 13 June 2010, ISSN 0167-8442, (http://www.sciencedirect.com/science/article/B6V55-509B27K-3/2/9a243ee45418da97f1752fce0baa76a9) Keywords: Damage; Fracture; Nucleation; Fiber bundles