B. K. Chakrabarti and L. G. Benguigui, Statistical Physics of Fracture and Breakdown in Disordered Systems, 1997.

M. J. Alava, P. K. Nukala, and S. Zapperi, Statistical models of fracture, Advances in Physics, vol.1, issue.3-4, p.349, 2006.
DOI : 10.1088/0305-4470/37/6/009

L. Vanel, S. Ciliberto, P. Cortet, and S. Santucci, Time-dependent rupture and slow crack growth: elastic and viscoplastic dynamics, Journal of Physics D: Applied Physics, vol.42, issue.21, p.214007, 2009.
DOI : 10.1088/0022-3727/42/21/214007

E. Mourglia, D. Long, L. Odoni, P. Sotta, and C. Rochas, Physical mechanisms during fatigue testing of reinforceystalline polymers, Proceedings of the 14 th International Conference on Deformation, Yield and Fracture of Polymers, p.321, 2009.

P. K. Mallick and Y. Zhou, Effect of mean stress on the stress-controlled fatigue of a short E-glass fiber reinforced polyamide-6,6, International Journal of Fatigue, vol.26, issue.9, pp.941-946, 2004.
DOI : 10.1016/j.ijfatigue.2004.02.003

J. J. Horst and J. Spoormaker, Mechanisms of fatigue in short glass fiber reinforced polyamide 6, Polymer Engineering & Science, vol.13, issue.22, pp.36-2718, 1996.
DOI : 10.1002/pen.10671

Y. Zhou and P. K. Mallick, Fatigue performance of an injection-molded short E-glass fiber-reinforced polyamide 6,6. I. Effects of orientation, holes, and weld line, Polymer Composites, vol.16, issue.2, pp.27-230, 2006.
DOI : 10.1002/pc.20182

V. Bellenger, A. Tcharkhtchi, and P. Castaing, Thermal and mechanical fatigue of a PA66/glass fibers composite material, International Journal of Fatigue, vol.28, issue.10, pp.28-1348, 2006.
DOI : 10.1016/j.ijfatigue.2006.02.031

A. Bernasconi and M. Kulin, Effect of frequency upon fatigue strength of a short glass fiber reinforced polyamide 6: A superposition method based on cyclic creep parameters, Polymer Composites, vol.23, issue.2, pp.154-161, 2009.
DOI : 10.1002/pc.20543

J. W. Dally, Fatigue behavior of glass-fiber fortified thermoplastics, Polymer Engineering and Science, vol.23, issue.6, pp.434-444, 1969.
DOI : 10.1002/pen.760090610

S. Castagnet, S. Girault, J. L. Gacougnolle, and P. Dang, Cavitation in strained polyvinylidene fluoride: mechanical and X-ray experimental studies, Polymer, vol.41, issue.20, pp.7523-7530, 2000.
DOI : 10.1016/S0032-3861(00)00077-X

A. Pawlak and A. Galeski, Plastic Deformation of Crystalline Polymers:?? The Role of Cavitation and Crystal Plasticity, Macromolecules, vol.38, issue.23, pp.9688-9697, 2005.
DOI : 10.1021/ma050842o

J. F. Mandell, D. D. Huang, and F. J. Mcgarry, Fatigue of glass and carbon fiber reinforced engineering thermoplastics, Polymer Composites, vol.5, issue.3, pp.137-144, 1981.
DOI : 10.1002/pc.750020311

A. J. Lesser, Changes in mechanical behavior during fatigue of semicrystalline thermoplastics, Journal of Applied Polymer Science, vol.58, issue.5, pp.869-879, 1995.
DOI : 10.1002/app.1995.070580504

P. B. Bowden and J. A. Jukes, The plastic flow of isotropic polymers, Journal of Materials Science, vol.2, issue.6, pp.52-63, 1972.
DOI : 10.1007/BF00549550

V. S. Kuksenko and V. P. Tamuzs, Fracture micromechanics of polymer materials, 1981.
DOI : 10.1007/978-94-017-1597-3

B. Kahng, G. G. Batrouni, S. Redner, L. De-arcangelis, and H. J. Herrmann, Electrical breakdown in a fuse network with random, continuously distributed breaking strengths, Physical Review B, vol.52, issue.13, p.7625, 1988.
DOI : 10.1103/PhysRevLett.52.1033

S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, Avalanches in breakdown and fracture processes, Physical Review E, vol.80, issue.5, p.5049, 1999.
DOI : 10.1103/PhysRevLett.80.1916

URL : https://repository.library.northeastern.edu/files/neu:331384/fulltext.pdf

J. V. Andersen, D. Sornette, and K. Leung, Tricritical Behavior in Rupture Induced by Disorder, Physical Review Letters, vol.73, issue.11, p.2140, 1997.
DOI : 10.1103/PhysRevLett.73.3423

URL : http://arxiv.org/pdf/cond-mat/9609022

P. Cortet, L. Vanel, and S. Ciliberto, Super-Arrhenius dynamics for sub-critical crack growth in two-dimensional disordered brittle media, Europhysics Letters (EPL), vol.74, issue.4, p.602, 2006.
DOI : 10.1209/epl/i2005-10572-5

URL : https://hal.archives-ouvertes.fr/ensl-00156836

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, p.320, 2004.
DOI : 10.1209/epl/i2003-00398-1

R. Toussaint and A. Hansen, Mean-field theory of localization in a fuse model, Physical Review E, vol.106, issue.4, p.46103, 2006.
DOI : 10.1007/BF01019728

URL : https://hal.archives-ouvertes.fr/hal-00107354

D. De-tommasi, S. Marzano, G. Puglisi, and G. Saccomandi, Localization and stability in damageable amorphous solids, Continuum Mechanics and Thermodynamics, vol.53, issue.3, p.47, 2010.
DOI : 10.1017/CBO9781139167970

A. Garciamartin, A. Guarino, L. Bellon, and S. Ciliberto, Statistical Properties of Fracture Precursors, Physical Review Letters, vol.77, issue.17, p.3202, 1997.
DOI : 10.1103/PhysRevLett.77.2503

D. Bonamy, S. Santucci, and L. Ponson, Crackling Dynamics in Material Failure as the Signature of a Self-Organized Dynamic Phase Transition, Physical Review Letters, vol.56, issue.4, p.45501, 2008.
DOI : 10.1007/s10704-005-5992-2

URL : https://hal.archives-ouvertes.fr/hal-00260014

F. Reurings and M. J. Alava, Damage growth in random fuse networks, The European Physical Journal B, vol.44, issue.1, p.85, 2005.
DOI : 10.1140/epjb/e2005-00292-2

URL : http://arxiv.org/pdf/cond-mat/0401592

S. Roux, Thermally activated breakdown in the fiber-bundle model, Physical Review E, vol.12, issue.5, p.6164, 2000.
DOI : 10.1007/s100510050990

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

A. Politi, S. Ciliberto, and R. Scorretti, Failure time in the fiber-bundle model with thermal noise and disorder, Physical Review E, vol.30, issue.2, p.26107, 2002.
DOI : 10.1088/0305-4470/30/23/004

A. Saichev and D. Sornette, Andrade, Omori, and time-to-failure laws from thermal noise in material rupture, Physical Review E, vol.43, issue.1, p.16608, 2005.
DOI : 10.1209/epl/i2003-00469-9

A. Guarino, S. Ciliberto, and S. , Thermally activated fracture of porous media, The European Physical Journal B, vol.26, issue.2, p.215, 2011.
DOI : 10.1088/0022-3727/42/21/214007

N. Shahidzadeh-bonn, P. Vi, X. Chateau, J. Roux, and D. Bonn, Delayed Fracture in Porous Media, Physical Review Letters, vol.221, issue.17, p.175501, 2005.
DOI : 10.1098/rsta.1921.0006

T. , I. For, M. System-size, . ×n, and . 200×200, The time scale in the simulations is determined by the thermal noise, i.e. at each time step we extract ?i ? according to the Gaussian distribution . Since the disorder is quenched, we fix the threshold distribution at the beginning of the simulation, order to reduce statistical fluctuations we average the results over 10 different realizations for the same set of parameters

N. Mallick, S. Ciliberto, S. G. Roux, P. D. Stefano, and L. Vanel, Aftershocks in thermally activated rupture of indented glass, Proceedings of the 12 th International Conference on Fracture, pp.12-17, 2009.