Data di Pubblicazione:
2012
Citazione:
Fracture Strength of Disordered Media : Universality, Interactions, and Tail Asymptotics / C. Manzato, A. Shekhawat, P. Nukala, M. Alava, J. Sethna, S. Zapperi. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 108:6(2012), pp. 065504.1-065504.5.
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.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
C. Manzato, A. Shekhawat, P. Nukala, M. Alava, J. Sethna, S. Zapperi
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