Avalanche dynamics in hierarchical fiber bundles

Biswas S, Zaiser M (2019)

Publication Type: Journal article

Publication year: 2019


Book Volume: 100

Journal Issue: 2

DOI: 10.1103/PhysRevE.100.022133


Heterogeneous materials are often organized in a hierarchical manner, where a basic unit is repeated over multiple scales. The structure then acquires a self-similar pattern. Examples of such structure are found in various biological and synthetic materials. The hierarchical structure can have significant consequences for the failure strength and the mechanical response of such systems. Here we consider a fiber bundle model with hierarchical structure and study the avalanche dynamics exhibited by the model during the approach to failure. We show that the failure strength of the model generally decreases in a hierarchical structure, as opposed to the situation where no such hierarchy exists. However, we also report a special arrangement of the hierarchy for which the failure threshold could be substantially above that of a nonhierarchical reference structure.

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Biswas, S., & Zaiser, M. (2019). Avalanche dynamics in hierarchical fiber bundles. Physical Review E, 100(2). https://dx.doi.org/10.1103/PhysRevE.100.022133


Biswas, Soumyajyoti, and Michael Zaiser. "Avalanche dynamics in hierarchical fiber bundles." Physical Review E 100.2 (2019).

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