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From damage percolation to crack nucleation through finite size criticality

Cornell Affiliated Author(s)

Author

A. Shekhawat
S. Zapperi
J.P. Sethna

Abstract

We present a unified theory of fracture in disordered brittle media that reconciles apparently conflicting results reported in the literature. Our renormalization group based approach yields a phase diagram in which the percolation fixed point, expected for infinite disorder, is unstable for finite disorder and flows to a zero-disorder nucleation-type fixed point, thus showing that fracture has a mixed first order and continuous character. In a region of intermediate disorder and finite system sizes, we predict a crossover with mean-field avalanche scaling. We discuss intriguing connections to other phenomena where critical scaling is only observed in finite size systems and disappears in the thermodynamic limit. © 2013 American Physical Society.

Date Published

Journal

Physical Review Letters

Volume

110

Issue

18

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84877726437&doi=10.1103%2fPhysRevLett.110.185505&partnerID=40&md5=90e29845d6249993426e8a7edc9ab3bb

DOI

10.1103/PhysRevLett.110.185505

Research Area

Group (Lab)

James Sethna Group

Funding Source

291002

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