English

Failure Processes in Elastic Fiber Bundles

Statistical Mechanics 2015-05-13 v3 Materials Science

Abstract

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the essentials of failure processes in a large number of materials and settings. We present here a review of fiber bundle model with different load redistribution mechanism from the point of view of statistics and statistical physics rather than materials science, with a focus on concepts such as criticality, universality and fluctuations. We discuss the fiber bundle model as a tool for understanding phenomena such as creep, and fatigue, how it is used to describe the behavior of fiber reinforced composites as well as modelling e.g. network failure, traffic jams and earthquake dynamics.

Keywords

Cite

@article{arxiv.0808.1375,
  title  = {Failure Processes in Elastic Fiber Bundles},
  author = {Srutarshi Pradhan and Alex Hansen and Bikas K. Chakrabarti},
  journal= {arXiv preprint arXiv:0808.1375},
  year   = {2015}
}

Comments

This article has been Editorially approved for publication in Reviews of Modern Physics

R2 v1 2026-06-21T11:09:07.146Z