Failure processes in elastic fiber bundles

By Srutarshi Pradhan, Alex Hansen, Bikas K. Chakrabarti. 2008

314 citations recorded by the source corpus.

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 changes. Even though very simple, this model captures the essentials of failure processes in a large number of materials and settings. A review of the fiber bundle model is presented with different load redistribution mechanisms 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. The fiber bundle model is discussed as a tool for understanding phenomena such as creep and fatigue and how it is used to describe the behavior of fiber-reinforced composites as well as modeling, e.g., network failure, traffic jams, and earthquake dynamics.

Subfields: Computer Vision and Pattern Recognition, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/abf7ce04ca2b153357ba2731e6aed535f7e12225

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In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Statistical physics of fracture, friction, and earthquakes (2011, background): “If a fraction f of the load of the failed fiber goes for global redistribution and the rest (fraction 1−f) goes to the fibers neighboring to the failed one, then we see that there is a crossover from extreme to self-averaging statistics at a finite value of f (see e.g., Pradhan et al. (2010)).”
Crises and Collective Socio-Economic Phenomena: Simple Models and Challenges (2012, background): “Indeed, the critical branching process can be mapped onto that problem, see [72, 74, 75] for more elaborations on this point.”