Exact numerical solution for a time-dependent fiber-bundle model with continuous damage
Statistical Mechanics
2009-11-07 v1
Abstract
A time-dependent global fiber-bundle model of fracture with continuous damage was recently formulated in terms of an autonomous differential system and numerically solved by applying a discrete probabilistic method. In this paper we provide a method to obtain the exact numerical solution for this problem. It is based on the introduction of successive integrating parameters which permits a robust inversion of the numerical integrations appearing in the problem.
Keywords
Cite
@article{arxiv.cond-mat/0109190,
title = {Exact numerical solution for a time-dependent fiber-bundle model with continuous damage},
author = {L. Moral and J. B. Gomez and Y. Moreno and A. F. Pacheco},
journal= {arXiv preprint arXiv:cond-mat/0109190},
year = {2009}
}
Comments
7 pages, 2 figures. Submitted for publication