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

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

2001-09-11

arxiv.org/abs/cond-mat/0109190v1

Journal of Physics A: Math. and Gen., 34, 9983 (2001).

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures. Submitted for publication

Scientific paper

10.1088/0305-4470/34/47/305

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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