Time to failure of hierarchical load-transfer models of fracture

M Vázquez-Prada; J B Gómez; Y Moreno; A F Pacheco; Miguel Vazquez-Prada Baillet

Time to failure of hierarchical load-transfer models of fracture

M Vázquez-Prada, J B Gómez, Y Moreno, A F Pacheco, Miguel Vazquez-Prada Baillet

Department of Public Health

22 Citations (Scopus)

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 nonzero value when n tends to infinity. This numerical conclusion is deduced for both power law and exponential breakdown rules.

Original language	English
Journal	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Volume	60
Issue number	3
Pages (from-to)	2581-94
Number of pages	14
ISSN	1539-3755
Publication status	Published - Sept 1999

Cite this

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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 nonzero value when n tends to infinity. This numerical conclusion is deduced for both power law and exponential breakdown rules.",

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AU - Vázquez-Prada, M

AU - Gómez, J B

AU - Moreno, Y

AU - Pacheco, A F

AU - Vazquez-Prada Baillet, Miguel

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N2 - 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 nonzero value when n tends to infinity. This numerical conclusion is deduced for both power law and exponential breakdown rules.

AB - 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 nonzero value when n tends to infinity. This numerical conclusion is deduced for both power law and exponential breakdown rules.

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Time to failure of hierarchical load-transfer models of fracture

Abstract

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