P. Forquin and F. Hild, Advances in Applied Mechanics, pp.1-72, 2010.

G. A. Francfort and J. Marigo, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, pp.1319-1342, 1998.
DOI : 10.1016/S0022-5096(98)00034-9

G. I. Barenblatt, The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Adv. Appl. Mech, vol.7, pp.55-129, 1962.
DOI : 10.1016/S0065-2156(08)70121-2

L. De-arcangelis, S. Redner, and H. J. Herrmann, A random fuse model for breaking processes, Journal de Physique Lettres, vol.46, issue.13, pp.585-590, 1985.
DOI : 10.1051/jphyslet:019850046013058500

URL : https://hal.archives-ouvertes.fr/jpa-00232564

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.37, issue.13, pp.7625-7637, 1988.
DOI : 10.1103/PhysRevB.37.7625

H. J. Herrmann, A. Hansen, and S. Roux, Fracture of disordered, elastic lattices in two dimensions, Physical Review B, vol.39, issue.1, pp.637-648, 1989.
DOI : 10.1103/PhysRevB.39.637

P. Barai, P. K. Nukala, M. J. Alava, and S. Zapperi, Role of the sample thickness in planar crack propagation, Physical Review E, vol.88, issue.4, p.42411, 2013.
DOI : 10.1103/PhysRevE.88.042411

P. C. Hemmer and A. Hansen, The Distribution of Simultaneous Fiber Failures in Fiber Bundles, Journal of Applied Mechanics, vol.59, issue.4, pp.909-914, 1992.
DOI : 10.1115/1.2894060

S. Pradhan, A. Hansen, and B. K. Chakrabarti, Failure processes in elastic fiber bundles, Reviews of Modern Physics, vol.82, issue.1, p.499, 2010.
DOI : 10.1103/RevModPhys.82.499

A. Hansen, P. C. Hemmer, and S. Pradhan, The fiber bundle

D. G. Harlow and S. L. Phoenix, Approximations for the strength distribution and size effect in an idealized lattice model of material breakdown, Journal of the Mechanics and Physics of Solids, vol.39, issue.2, pp.173-200, 1991.
DOI : 10.1016/0022-5096(91)90002-6

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

A. Delaplace, S. Roux, and G. Pijaudier-cabot, Damage cascade in a softening interface, International Journal of Solids and Structures, vol.36, issue.10, p.1403, 1999.
DOI : 10.1016/S0020-7683(98)00054-7

URL : https://hal.archives-ouvertes.fr/hal-01006714

G. G. Batrouni, A. Hansen, and J. Schmittbuhl, Heterogeneous interfacial failure between two elastic blocks, Physical Review E, vol.65, issue.3, p.36126, 2002.
DOI : 10.1103/PhysRevE.65.036126

URL : http://arxiv.org/abs/cond-mat/0106558

A. Stormo, K. S. Gjerden, and A. Hansen, Onset of localization in heterogeneous interfacial failure, Physical Review E, vol.86, issue.2, p.25101, 2012.
DOI : 10.1103/PhysRevE.86.025101

R. C. Hidalgo, Y. Moreno, F. Kun, and H. Herrmann, Fracture model with variable range of interaction, Physical Review E, vol.65, issue.4, p.46148, 2002.
DOI : 10.1103/PhysRevE.65.046148

O. Yewande, Y. Moreno, F. Kun, R. Hidalgo, and H. Herrmann, Time evolution of damage under variable ranges of load transfer, Physical Review E, vol.68, issue.2, p.26116, 2003.
DOI : 10.1103/PhysRevE.68.026116

R. C. Hidalgo, F. Kun, H. J. Herrmann, and . Phys, Slow relaxation of fiber composites, variable range of interaction approach, Physica A: Statistical Mechanics and its Applications, vol.347, p.402, 2005.
DOI : 10.1016/j.physa.2004.08.039

A. Delaplace, S. Roux, G. Pijaudier-cabot, and J. Eng, Avalanche Statistics of Interface Crack Propagation in Fiber Bundle Model: Characterization of Cohesive Crack, Journal of Engineering Mechanics, vol.127, issue.7, p.646, 2001.
DOI : 10.1061/(ASCE)0733-9399(2001)127:7(646)

S. Zapperi, H. J. Herrmann, and S. Roux, Planar cracks in the fuse model, The European Physical Journal B, vol.17, issue.1, p.131, 2000.
DOI : 10.1007/s100510070168

URL : https://hal.archives-ouvertes.fr/hal-00007629

L. Legrand, S. Patinet, J. B. Leblond, J. Frelat, V. Lazarus et al., Coplanar perturbation of a crack lying on the mid-plane of a plate, International Journal of Fracture, vol.55, issue.1, pp.67-82, 2011.
DOI : 10.1007/s10704-011-9603-0

J. Joanny and P. G. De-gennes, A model for contact angle hysteresis, The Journal of Chemical Physics, vol.81, issue.1, pp.552-562, 1984.
DOI : 10.1063/1.447337

M. Kardar, Nonequilibrium dynamics of interfaces and lines, Physics Reports, vol.301, issue.1-3, pp.85-112, 1998.
DOI : 10.1016/S0370-1573(98)00007-6

J. Schmittbuhl, S. Roux, J. Vilotte, and K. Måløy, Direct Observation of a Self-Affine Crack Propagation, Physical Review Letters, vol.78, issue.20, pp.3888-3891, 1998.
DOI : 10.1103/PhysRevLett.78.3888

R. Skoe, D. Vandembroucq, and S. Roux, FRONT PROPAGATION IN RANDOM MEDIA: FROM EXTREMAL TO ACTIVATED DYNAMICS, International Journal of Modern Physics C, vol.13, issue.06, pp.751-757, 2002.
DOI : 10.1142/S0129183102003565

D. Vandembroucq, R. Skoe, R. , and S. , Large-scale numerical simulations of ultrametric long-range depinning, Physical Review E, vol.70, issue.2, p.26103, 2004.
DOI : 10.1103/PhysRevE.70.026103

URL : https://hal.archives-ouvertes.fr/hal-00001070

D. Dalmas, A. Lelarge, and D. Vandembroucq, Crack Propagation through Phase-Separated Glasses: Effect of the Characteristic Size of Disorder, Physical Review Letters, vol.101, issue.25, p.255501, 2008.
DOI : 10.1103/PhysRevLett.101.255501

URL : https://hal.archives-ouvertes.fr/hal-00201200

D. Bonamy and E. Bouchaud, Failure of heterogeneous materials: A dynamic phase transition?, Physics Reports, vol.498, issue.1, pp.1-44, 2011.
DOI : 10.1016/j.physrep.2010.07.006

S. Patinet, D. Vandembroucq, and S. Roux, Quantitative Prediction of Effective Toughness at Random Heterogeneous Interfaces, Physical Review Letters, vol.110, issue.16, p.165507, 2013.
DOI : 10.1103/PhysRevLett.110.165507

A. Rosso and W. Krauth, Roughness at the depinning threshold for a long-range elastic string, Physical Review E, vol.65, issue.2, p.25101, 2002.
DOI : 10.1103/PhysRevE.65.025101

URL : https://hal.archives-ouvertes.fr/hal-00126169