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Time to failure of hierarchical load-transfer models of fracture

M. Vazquez-Prada·J. B. Gomez·Y. Moreno·A. F. Pacheco
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Abstract

The time to failure, $T$, of dynamical models of fracture for a hierarchical load-transfer geometry is studied. Using a probabilistic strategy and juxtaposing hierarchical structures of height $n$, we devise an exact method to compute $T$, for structures of height $n+1$. Bounding $T$, for large $n$, we are able to deduce that the time to failure tends to a non-zero value when $n$ tends to infinity. This numerical conclusion is deduced for both power law and exponential breakdown rules.

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BibTeXRIS

M. Vazquez-Prada, J. B. Gomez, Y. Moreno, A. F. Pacheco. 1999-06-02. Time to failure of hierarchical load-transfer models of fracture. https://doi.org/10.1103/physreve.60.2581

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