Fracture of disordered solids in compression as a critical phenomenon. II. Model Hamiltonian for a population of interacting cracks

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 3, 2002, Pages

  Toussaint, Renaud ^a   Pride, Steven R ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; ENTROPY; GLASS TRANSITION; MATHEMATICAL MODELS; PHOTONS; PRESSURE EFFECTS; SPECTROSCOPY; THERMAL EFFECTS;

BIOCHEMICALS; CONFIGURATIONAL ENTROPY; GLASS FORMER; RELAXATION PROCESS;

GLASS;

ARTICLE;

EID: 41349101479     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.036136     Document Type: Article

References (14)

1. P. Bésuelle, Ph.D. thesis, Université Joseph Fourier–Grenoble I, 1999, and references therein for a review.
2. S. Arbabi and M. Sahimi, Phys. Rev. B 47, 695 (1993);
3. Phys. Rev. BM. Sahimi and S. Arbabi, 47, 703 (1993);
4. Phys. Rev. BM. SahimiS. Arbabi47, 713 (1993).
5. G. G. Batrouni and A. Hansen, Phys. Rev. Lett. 80, 325 (1998).
6. Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
7. D. A. Lockner, in Rock Physics and Phase Relations, A Handbook of Physical Constants, edited by T. J. Ahrens (American Geophysical Union, Washington, DC, 1995), and references therein.
8. R. L. Kranz, Tectonophysics 100, 449 (1983).
9. M. L. Batzle, G. Simmons, and R. W. Siegfried, J. Geophys. Res. B 85, 7072 (1980).
10. M. S. Paterson, Experimental Rock Deformation—the Brittle Field (Springer-Verlag, Berlin, 1978).
11. D. A. Lockner, J. D. Byerlee, V. Kuksenko, A. Ponomarev, and A. Sidorin, in Fault Mechanics and Transport Properties of Rocks, edited by B. Evans and T. F. Wong (Academic Press, San Diego, 1992).
12. K. Mair, I. Main, and S. Elphick, J. Struct. Geol. 22, 25 (2000).
13. J. D. Eshelby, Proc. R. Soc. London, Ser. A 241, 376 (1957).
14. T. T. Wu, Int. J. Solids Struct. 2, 1 (1966).