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Fracture Strength of Disordered Media: Universality, Interactions, and Tail Asymptotics (Articolo in rivista)
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- Fracture Strength of Disordered Media: Universality, Interactions, and Tail Asymptotics (Articolo in rivista) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1103/PhysRevLett.108.065504 (literal)
- Alternative label
Manzato C.; Shekhawat A.; Nukala P.K.V.V.; Alava M.J.; Sethna J.P.; Zapperi S. (2012)
Fracture Strength of Disordered Media: Universality, Interactions, and Tail Asymptotics
in Physical review letters (Print)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Manzato C.; Shekhawat A.; Nukala P.K.V.V.; Alava M.J.; Sethna J.P.; Zapperi S. (literal)
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- http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.065504 (literal)
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- 1 Dipartimento di Fisica, Università di Modena e Reggio Emilia, 41100 Modena, Italy
1,4 Department of Applied Physics, Aalto University, School of Science, P.O. Box 14100, FI-00076 Aalto, Finland
2,5 Physics Department, Clark Hall, Cornell University, Ithaca, NY 14853-2501, United States
3 Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6164, United States
6 CNR-Consiglio Nazionale Delle Ricerche, IENI, Via Roberto Cozzi 53, 20125 Milano, Italy
6 ISI Foundation, Via Alassio 11/c, 10126 Torino, Italy (literal)
- Titolo
- Fracture Strength of Disordered Media: Universality, Interactions, and Tail Asymptotics (literal)
- 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. (literal)
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