Self-Organization and Annealed Disorder in a Fracturing Process

Guido Caldarelli, Francesco D. Di Tolla, and Alberto Petri
Phys. Rev. Lett. 77, 2503 – Published 16 September 1996
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Abstract

We show that a vectorial model for inhomogeneous elastic media self-organizes under external stress. An onset of crack avalanches of every duration and length scale compatible with the lattice size is observed. The behavior is driven by the introduction of annealed disorder, i.e., by lowering the breaking threshold in the neighborhood of a bond broken by the stress, with a process similar to self-organized criticality. A further comparison with experimental results of acoustic emission (AE), shows that the stability of the elastic potential energy of the system in the AE regime is a sufficient condition for reproducing the algebraic distribution of the energy released during cracks formation.

  • Received 21 February 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.2503

©1996 American Physical Society

Authors & Affiliations

Guido Caldarelli

  • I.N.F.M., Istituto Nazionale di Fisica della Materia, Sezione di Trieste, Scuola Internazionale Superiore di Studi Avanzati/International School for Advanced Study, v. Beirut 2-4, I-34013 Grignano di Trieste (TS), Italy

Francesco D. Di Tolla

  • Scuola Internazionale Superiore di Studi Avanzati/International School for Advanced Study, v. Beirut 2-4, I-34013 Grignano di Trieste (TS), Italy
  • and Center for Atomic-scale Materials Physics, Technical University of Denmark, DK-2800 Lyngby, Denmark

Alberto Petri

  • Consiglio Nazionale delle Ricerche, Istituto di Acustica “O.M. Corbino,” v. Cassia 1216, I-00189 Roma, Italy
  • and I.N.F.N., Istituto Nazionale di Fisica Nucleare, Sez. di Perugia, Italy

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Vol. 77, Iss. 12 — 16 September 1996

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