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

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

Published 2001-09-11Version 1

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.