Skip to main content
Log in

Rupture of heterogeneous media in the limit of infinite disorder

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We consider a random fuse or random fragile element model. We show that, in the limit of infinite disorder in the bond-breaking thresholds, the rupture of a lattice is a “disguised” percolation process. Therefore, just before the final overall rupture of the lattice, we obtain scaling relations of various physical properties as a function of the number of bonds broken.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Fragmentation, Form and Flow, Annals of the Israeli Physical Society, Vol. 8 (1986), and references cited therein.

  2. G. G. Batrouni, K. Khang, S. Redner, L. de Arcangelis, and H. J. Herrmann,Phys. Rev. B, to appear.

  3. P. M. Duxbury, P. D. Beale, and P. L. Leath,Phys. Rev. Lett. 57:1052 (1986).

    Google Scholar 

  4. A. Gilabert, C. Vanneste, D. Sornette, and E. Guyon,J. Phys. (Paris) 48:763 (1987).

    Google Scholar 

  5. H. Takayasu,Phys. Rev. Lett. 54:1099 (1985).

    Google Scholar 

  6. M. Sahimi and J. D. Goddard,Phys. Rev. B 33:7848 (1986).

    Google Scholar 

  7. L. de Arcangelis, S. Redner, and H. J. Herrmann,J. Phys. Lett. (Paris) 46:585 (1985).

    Google Scholar 

  8. A. Hansen, H. J. Herrmann, and S. Roux, preprint.

  9. H. J. Herrmann, D. C. Hong, and H. E. Stanley,J. Phys. A 17:L261 (1984).

    Google Scholar 

  10. S. Roux and A. Hansen,J. Phys. A 20:L1281 (1987).

    Google Scholar 

  11. S. Kirkpatrick,Rev. Mod. Phys. 45:574 (1973).

    Google Scholar 

  12. S. Kirkpatrick, inElectrical Transport and Optical Properties of Inhomogeneous Media, J. C. Garland and D. B. Tanner, eds. (AIP, New York, 1978), p. 99.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roux, S., Hansen, A., Herrmann, H. et al. Rupture of heterogeneous media in the limit of infinite disorder. J Stat Phys 52, 237–244 (1988). https://doi.org/10.1007/BF01016411

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016411

Key words

Navigation