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Exact numerical solution for a time-dependent fiber-bundle model with continuous damage

L. Moral, J. B. Gomez, Y. Moreno, A. F. Pacheco

cond-mat.stat-mecharXiv:cond-mat/0109190

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.

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