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

L Moral, J B Gómez, Y Moreno, A F Pacheco
2001 Journal of Physics A: Mathematical and General  
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.
doi:10.1088/0305-4470/34/47/305 fatcat:2czonumaa5fr3lj4slyvsttmhu