Time to failure of hierarchical load-transfer models of fracture

Details Time to failure of hierarchical load-transfer models of fracture Time to failure of hierarchical load-transfer models of fracture

1999-06-02

arxiv.org/abs/cond-mat/9906031v1

Phys. Rev. E 60, 2581 (1999)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 13 figures. Physical review style. To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.60.2581

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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