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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
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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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L. Moral, J. B. Gomez, Y. Moreno, A. F. Pacheco. 2001-09-11. Exact numerical solution for a time-dependent fiber-bundle model with continuous damage. https://doi.org/10.1088/0305-4470%2F34%2F47%2F305

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