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

Institut for Folkesundhedsvidenskab

22 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Vol/bind	60
Udgave nummer	3
Sider (fra-til)	2581-94
Antal sider	14
ISSN	1539-3755
Status	Udgivet - sep. 1999

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Citationsformater

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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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T1 - Time to failure of hierarchical load-transfer models of fracture

AU - Vázquez-Prada, M

AU - Gómez, J B

AU - Moreno, Y

AU - Pacheco, A F

AU - Vazquez-Prada Baillet, Miguel

PY - 1999/9

Y1 - 1999/9

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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M3 - Journal article

C2 - 11970059

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EP - 2594

JO - Physical Review E

JF - Physical Review E

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Time to failure of hierarchical load-transfer models of fracture

Abstract

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