S. Santucci, L. Vanel, and S. Ciliberto, Subcritical Statistics in Rupture of Fibrous Materials: Experiments and Model, Physical Review Letters, vol.93, issue.9, p.95505, 2004.
DOI : 10.1103/PhysRevLett.93.095505
URL : https://hal.archives-ouvertes.fr/hal-00111276

S. Santucci, L. Vanel, A. Guarino, R. Scorretti, and S. Ciliberto, Thermal activation of rupture and slow crack growth in a model of homogeneous brittle materials, Europhysics Letters (EPL), vol.62, issue.3, pp.320-326, 2003.
DOI : 10.1209/epl/i2003-00398-1

]. S. Brenner, Mechanical Behavior of Sapphire Whiskers at Elevated Temperatures, Journal of Applied Physics, vol.33, issue.1, p.33, 1962.
DOI : 10.1063/1.1728523

L. Golubovic and S. Feng, Rate of microcrack nucleation, Physical Review A, vol.43, issue.10, p.5223, 1991.
DOI : 10.1103/PhysRevA.43.5223

A. Buchel and J. P. Sethna, Elastic Theory Has Zero Radius of Convergence, Physical Review Letters, vol.77, issue.8, pp.1520-7669, 1996.
DOI : 10.1103/PhysRevLett.77.1520

K. Kitamura, I. L. Maksimov, and K. Nishioka, The effect of temperature on crack-lattice trapping, Philosophical Magazine Letters, vol.75, issue.6, p.343, 1997.
DOI : 10.1080/095008397179408

S. Roux, Thermally activated breakdown in the fiber-bundle model, Physical Review E, vol.62, issue.5, p.6164, 2000.
DOI : 10.1103/PhysRevE.62.6164

S. Santucci, L. Vanel, R. Scorretti, A. Guarino, and S. Ciliberto, Thermal activation of rupture and slow crack growth in a model of homogeneous brittle materials, Europhysics Letters (EPL), vol.62, issue.3, p.320, 2003.
DOI : 10.1209/epl/i2003-00398-1

E. Riks, C. C. Rankin, and F. A. Brogan, The buckling behavior of a central crack in a plate under tension, Engineering Fracture Mechanics, vol.43, issue.4, p.529, 1992.
DOI : 10.1016/0013-7944(92)90197-M

B. R. Lawn and T. R. Wilshaw, Fracture of Brittle Solids, 1975.
DOI : 10.1017/CBO9780511623127

R. Thomson, Solid State Phys, 1986.

D. Stauffer, Introduction to Percolation Theory, 1991.
DOI : 10.4324/9780203211595

P. F. Arndt and T. Nattermann, Criterion for crack formation in disordered materials, Physical Review B, vol.63, issue.13, pp.134204-134205, 2001.
DOI : 10.1103/PhysRevB.63.134204

A. Bibliographie and . Elements, Department of Mechanical and Materials Engineering The University of Western Australia

D. Wright, . Notes-on-"-design, . And, . Of, and . Elements, Department of Mechanical and Materials Engineering The University of Western Australia, The Complex Systems and Soft Materials Program

H. J. Herrmann and S. , Roux Statistical Models for the Fracture of Disordered Media, 1990.

D. Stauer, Introduction to Percolation Theory, 1991.

L. P. Kadano, Statistical Physics, World Scientic, 2000.

B. R. Lawn and T. R. Wilshaw, Fracture of Brittle Solids, 1975.
DOI : 10.1017/CBO9780511623127

M. F. Kaninnen and C. H. Popelar, Advanced Fracture Mechanics, 1985.

M. Kachanov, Elastic Solids with Many Cracks and Related Problems, Advances in Applied Mechanics, p.260, 1997.
DOI : 10.1016/S0065-2156(08)70176-5

H. Liebowitz, FRACTURE An Advanced Treatise VOLUME II, pp.2-67, 1968.

B. K. Atkinson, Fracture mechanics of rock, 1987.

F. Mulargia and R. J. Geller, Earthquake Science and Seismic Risk Reduction NATO Science Series IV

J. G. Williams, Fracture mechanics of polymers, Polymer Engineering and Science, vol.16, issue.3, 1984.
DOI : 10.1002/pen.760170303

P. Paris, M. P. Gomez, and W. P. Anderson, The Trend in Engineering, pp.9-14, 1961.

S. S. Brenner, Mechanical Behavior of Sapphire Whiskers at Elevated Temperatures, Journal of Applied Physics, vol.33, issue.1, p.33, 1962.
DOI : 10.1063/1.1728523

S. Roux, Thermally activated breakdown in the fiber-bundle model, Physical Review E, vol.62, issue.5, p.6164, 2000.
DOI : 10.1103/PhysRevE.62.6164

P. F. Arndt and T. Nattermann, Criterion for crack formation in disordered materials, Physical Review B, vol.63, issue.13, pp.134204-134205, 2001.
DOI : 10.1103/PhysRevB.63.134204

R. L. Blumberg-selinger, Z. Wang, and W. Gelbart, Statistical-thermodynamic approach to fracture, Physical Review A, vol.43, issue.8, p.4396, 1991.
DOI : 10.1103/PhysRevA.43.4396

A. Buchel, A. Et, and J. P. Sethna, Elastic Theory Has Zero Radius of Convergence, Physical Review Letters, vol.77, issue.8, p.1520, 1996.
DOI : 10.1103/PhysRevLett.77.1520

A. Delaplace, J. Schmittbuhl, and K. J. Måløy, High resolution description of a crack front in a heterogeneous Plexiglas block, Physical Review E, vol.60, issue.2, pp.1337-1343, 1999.
DOI : 10.1103/PhysRevE.60.1337

S. M. Wiederhorn, Influence of Water Vapor on Crack Propagation in Soda-Lime Glass, Journal of the American Ceramic Society, vol.42, issue.1, p.407, 1967.
DOI : 10.1021/ja01168a005

A. Guarino, A. Garcimartin, and S. Ciliberto, An experimental test of the critical behaviour of fracture precursors, The European Physical Journal B, vol.6, issue.1, pp.13-24, 1998.
DOI : 10.1007/s100510050521

A. Guarino, S. Ciliberto, and A. Garcimartin, Failure time and microcrack nucleation, Europhysics Letters (EPL), vol.47, issue.4, pp.456-461, 1999.
DOI : 10.1209/epl/i1999-00409-9
URL : http://arxiv.org/abs/cond-mat/9905161

R. Scorretti, S. Ciliberto, and A. Guarino, Disorder enhances the effects of thermal noise in the fiber bundle model, Europhysics Letters (EPL), vol.55, issue.5, p.626, 2001.
DOI : 10.1209/epl/i2001-00462-x

L. I. Salminen, A. I. Tolvanen, and M. J. Alava, Acoustic Emission from Paper Fracture, Physical Review Letters, vol.89, issue.18, pp.185503-185504, 2002.
DOI : 10.1103/PhysRevLett.89.185503
URL : http://arxiv.org/abs/cond-mat/0301299

E. Riks, C. C. Rankin, and F. A. Brogan, The buckling behavior of a central crack in a plate under tension, Engineering Fracture Mechanics, vol.43, issue.4, p.529, 1992.
DOI : 10.1016/0013-7944(92)90197-M

I. G. Main, G. O-'brien, and J. R. Henderson, Statistical physics of earthquakes: Comparison of distribution exponents for source area and potential energy and the dynamic emergence of log-periodic energy quanta, Journal of Geophysical Research: Solid Earth, vol.124, issue.B3, p.6105, 2000.
DOI : 10.1029/1999JB900396

J. Lu and K. Ravi-chandar, Inelastic deformation and localization in polycarbonate under tension, International Journal of Solids and Structures, vol.36, issue.3, p.391, 1999.
DOI : 10.1016/S0020-7683(98)00004-3

R. C. Hidalgo, F. Kun, and H. J. Herrmann, Bursts in a fiber bundle model with continuous damage, Physical Review E, vol.64, issue.6, p.66122, 2001.
DOI : 10.1103/PhysRevE.64.066122

A. Petri, G. Paparo, A. Vespignani, A. Alippi, and M. Costantini, Experimental Evidence for Critical Dynamics in Microfracturing Processes, Physical Review Letters, vol.73, issue.25, p.3423, 1994.
DOI : 10.1103/PhysRevLett.73.3423

C. Maes, A. Van-moaert, H. Frederix, and H. Strauven, Criticality in creep experiments on cellular glass, Physical Review B, vol.57, issue.9, p.4987, 1998.
DOI : 10.1103/PhysRevB.57.4987

M. Kloster, A. Hansen, and P. C. Hemmer, Burst avalanches in solvable models of fibrous materials, Physical Review E, vol.56, issue.3, p.2615, 1997.
DOI : 10.1103/PhysRevE.56.2615

G. R. Irwin and J. A. Kies, Subcritical Crack Growth in Vitreous Carbon at Room Temperature, Welding Res, pp.193-198, 1954.

R. Thomson, Physics of fracture, Solid State Physics 39, pp 1-129, 1986.