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Scaling laws in fracture

L. de Arcangelis, A. Hansen, H. J. Herrmann, and S. Roux
Phys. Rev. B 40, 877(R) – Published 1 July 1989
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Abstract

We studied numerically the fracture of three types of disordered media: a scalar, a central-force, and a beam model. We discovered the following novel, universal laws: in an initial regime, force and displacement both scale as L0.75 with the system size L; the number of bonds that break scales during the whole process as L1.7, and the distribution of local forces is multifractal just before the system breaks, whereas it has constant-gap scaling when catastrophic breaking sets in.

  • Received 28 December 1988

DOI:https://doi.org/10.1103/PhysRevB.40.877

©1989 American Physical Society

Authors & Affiliations

L. de Arcangelis

  • Service de Physique Théorique de Saclay, F-91191 Gif-sur-Yvette CEDEX, France

A. Hansen

  • Institut für Theoretische Physik, Universität zu Köln, 5 Köln 41, West Germany

H. J. Herrmann

  • Service de Physique Théorique de Saclay, F-91191 Gif-sur-Yvette CEDEX, France
  • Laboratoire d’Hydrodynamique et de Mécanique Physique, École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris, 10 rue Vauquelin, 75231 Paris 05 CEDEX, France

S. Roux

  • Laboratoire d’Hydrodynamique et de Mécanique Physique, École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris, 10 rue Vauquelin, 75231 Paris 05 CEDEX, France

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Vol. 40, Iss. 1 — 1 July 1989

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