English

Probabilistic Approach to Time-Dependent Load-Transfer Models of Fracture

Statistical Mechanics 2019-08-17 v1 Disordered Systems and Neural Networks

Abstract

A probabilistic method for solving time-dependent load-transfer models of fracture is developed. It is applicable to any rule of load redistribution, i.e, local, hierarchical, etc. In the new method, the fluctuations are generated during the breaking process (annealed randomness) while in the usual method, the random lifetimes are fixed at the beginning (quenched disorder). Both approaches are equivalent.

Keywords

Cite

@article{arxiv.cond-mat/9806071,
  title  = {Probabilistic Approach to Time-Dependent Load-Transfer Models of Fracture},
  author = {J. B. Gomez and Y. Moreno and A. F. Pacheco},
  journal= {arXiv preprint arXiv:cond-mat/9806071},
  year   = {2019}
}

Comments

13 pages, 4 figures. To appear in Phys.Rev.E