Fracture Strength of Disordered Media: Universality, Interactions, and Tail Asymptotics

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2012
Major/Subject
Mcode
Degree programme
Language
en
Pages
065504/1-5
Series
Physical Review Letters, Volume 108, Issue 6
Abstract
We study the asymptotic properties of fracture strength distributions of disordered elastic media by a combination of renormalization group, extreme value theory, and numerical simulation. We investigate the validity of the “weakest-link hypothesis” in the presence of realistic long-ranged interactions in the random fuse model. Numerical simulations indicate that the fracture strength is well-described by the Duxbury-Leath-Beale (DLB) distribution which is shown to flow asymptotically to the Gumbel distribution. We explore the relation between the extreme value distributions and the DLB-type asymptotic distributions and show that the universal extreme value forms may not be appropriate to describe the nonuniversal low-strength tail.
Description
Keywords
disordered elastic media, fracture strength, asymptotic properties
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Citation
Manzato, Claudio & Shekhawat, Ashivni & Nukala, Phani K. V. V. & Alava, Mikko J. & Sethna, James P. & Zapperi, Stefano. 2012. Fracture Strength of Disordered Media: Universality, Interactions, and Tail Asymptotics. Physical Review Letters. Volume 108, Issue 6. 065504/1-5. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.108.065504.