Fracture of disordered, elastic lattices in two dimensions

Hans J. Herrmann, Alex Hansen, and Stephane Roux
Phys. Rev. B 39, 637 – Published 1 January 1989
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Abstract

We study via simulation how a lattice breaks if each bond is an elastic beam having longitudinal and flexural breaking thresholds randomly selected according to various probability distributions. We observe scaling of force, displacement, and number of broken beams in the controlled regime. The distribution of local forces just before breaking is characterized by a multifractal spectrum f(α).

  • Received 7 June 1988

DOI:https://doi.org/10.1103/PhysRevB.39.637

©1989 American Physical Society

Authors & Affiliations

Hans J. Herrmann

  • Service de Physique Théorique, Institut de Recherche Fondamentale, Commissariat à l’Energie Atomique, Centre d’Etudes Nucléaires, F-91191 Gif-sur-Yvette CEDEX, France

Alex Hansen

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

Stephane Roux

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

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Vol. 39, Iss. 1 — 1 January 1989

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