Relaxation dynamics in strained fiber bundles

Srutarshi Pradhan; Per C. Hemmer

doi:10.1103/physreve.75.056112

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arXiv · cond-mat/0701707

Relaxation dynamics in strained fiber bundles

Srutarshi Pradhan·Per C. Hemmer

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Abstract

Under an applied external load the global load-sharing fiber bundle model, with individual fiber strength thresholds sampled randomly from a probability distribution, will relax to an equilibrium state, or to complete bundle breakdown. The relaxation can be viewed as taking place in a sequence of steps. In the first step all fibers weaker than the applied stress fail. As the total load is redistributed on the surviving fibers, a group of secondary fiber failures occur, etc. For a bundle with a finite number of fibers the process stops after a finite number of steps, $t$. By simulation and theoretical estimates, it is determined how $t$ depends upon the stress, the initial load per fiber, both for subcritical and supercritical stress. The two-sided critical divergence is characterized by an exponent -1/2, independent of the probability distribution of the fiber thresholds.

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Srutarshi Pradhan, Per C. Hemmer. 2007-01-29. Relaxation dynamics in strained fiber bundles. https://doi.org/10.1103/physreve.75.056112

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