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Disorder and Fracture pp 149–163Cite as

Scaling in Fracture

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Part of the book series: NATO ASI Series ((NSSB,volume 204))

Abstract

Cracks can be grown on a lattice by deterministic rules and their patterns can be fractal due only to the interplay of anisotropy and memory. We show cracks of various shapes generated by different breaking criteria. A quantity of experimental interest is the breaking characteristics of the system (force vs. displacement): we discuss its universal scaling behaviour. Moreover, the distribution of local strain has multifractal scaling properties just before the system breaks fully apart. All the presented results appear to be universal with respect to different distributions of quenched disorder in the thresholds and other models for fracture.

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Author information

Authors and Affiliations

  1. Service de Physique Théorique, CEN Saclay, F-91191, Gif sur Yvette, France

    H. J. Herrmann & L. de Arcangelis

Authors
  1. H. J. Herrmann
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  2. L. de Arcangelis
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Editor information

Editors and Affiliations

  1. Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris, France

    J. C. Charmet  & S. Roux  & 

  2. Université de Paris-Sud, Orsay, France

    E. Guyon

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© 1990 Plenum Press, New York

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Herrmann, H.J., de Arcangelis, L. (1990). Scaling in Fracture. In: Charmet, J.C., Roux, S., Guyon, E. (eds) Disorder and Fracture. NATO ASI Series, vol 204. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6864-3_10

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  • DOI: https://doi.org/10.1007/978-1-4615-6864-3_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-43576-8

  • Online ISBN: 978-1-4615-6864-3

  • eBook Packages: Springer Book Archive

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