E. Bouchaud, Scaling properties of cracks, Journal of Physics: Condensed Matter, vol.9, issue.21, pp.4319-4344, 1997.
DOI : 10.1088/0953-8984/9/21/002

F. Bower and M. Ortiz, A three-dimensional analysis of crack trapping and bridging by tough particles, Journal of the Mechanics and Physics of Solids, vol.39, issue.6, pp.815-858, 1991.
DOI : 10.1016/0022-5096(91)90026-K

A. F. Bower and M. Ortiz, The Influence of Grain Size on the Toughness of Monolithic Ceramics, Journal of Engineering Materials and Technology, vol.115, issue.3, pp.228-236, 1993.
DOI : 10.1115/1.2904212

Y. Charles and F. Hild, Crack Arrest in ceramic/steel assemblies, Int. J. Fract, vol.15, issue.3, pp.251-272, 2002.

Y. Charles, F. Hild, and S. Roux, Long-Term Reliability of Brittle Materials: The Issue of Crack Arrest, Journal of Engineering Materials and Technology, vol.125, issue.3, pp.333-340, 2003.
DOI : 10.1115/1.1580854

URL : https://hal.archives-ouvertes.fr/hal-00002907

A. Chudnovsky and B. Kunin, A probabilistic model of brittle crack formation, Journal of Applied Physics, vol.62, issue.10, pp.4124-4129, 1987.
DOI : 10.1063/1.339128

W. A. Curtin, Toughening in disordered brittle materials, Toughening in Disordered Brittle Materials, pp.11270-11276, 1997.
DOI : 10.1103/PhysRevB.55.11270

W. A. Curtin, Stochastic Damage Evolution and Failure in Fiber-Reinforced Composites, Adv. Appl. Mech, vol.36, issue.164, 1998.
DOI : 10.1016/S0065-2156(08)70186-8

A. G. Evans, Perspective on the Development of High-Toughness Ceramics, Journal of the American Ceramic Society, vol.70, issue.8, pp.187-206, 1990.
DOI : 10.1111/j.1151-2916.1990.tb06493.x

D. S. Fisher, Sliding charge-density waves as a dynamic critical phenomenon, Physical Review B, vol.31, issue.3, pp.1396-1427, 1985.
DOI : 10.1103/PhysRevB.31.1396

H. Gao and J. R. Rice, A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles, Journal of Applied Mechanics, vol.56, issue.4, pp.828-836, 1989.
DOI : 10.1115/1.3176178

D. Jeulin, Fracture Statistics Models and Crack Propagation in Random Media, Applied Mechanics Reviews, vol.47, issue.1S, pp.47-48, 1994.
DOI : 10.1115/1.3122809

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

S. Krishnamurthy, A. Tanguy, P. Abry, and S. Roux, A stochastic description of extremal dynamics, Europhysics Letters (EPL), vol.51, issue.1, pp.1-7, 2000.
DOI : 10.1209/epl/i2000-00330-9

B. R. Lawn, Fracture of Brittle Solids, 1993.
DOI : 10.1017/CBO9780511623127

P. , L. Doussal, K. J. Wiese, and P. Chauve, Two-loop functional renormalization group theory of the depinning transition, Phys. Rev. B, vol.66, pp.174201-174202, 2002.

O. Narayan and D. S. Fisher, Threshold critical dynamics of driven interfaces in random media, Physical Review B, vol.48, issue.10, pp.7030-7042, 1993.
DOI : 10.1103/PhysRevB.48.7030

T. Nattermann, S. Stepanow, L. Tang, and H. Leschhorn, Dynamics of interface depinning in a disordered medium, Journal de Physique II, vol.2, issue.8, pp.1483-1488, 1993.
DOI : 10.1051/jp2:1992214

URL : https://hal.archives-ouvertes.fr/jpa-00247744

C. B. Ponton and R. D. Rawlings, Vickers indentation fracture toughness test Part 1 Review of literature and formulation of standardised indentation toughness equations, Materials Science and Technology, vol.68, issue.10, pp.865-872, 1989.
DOI : 10.1007/BF01729352

C. B. Ponton and R. D. Rawlings, Vickers indentation fracture toughness test Part 2 Application and critical evaluation of standardised indentation toughness equations, Materials Science and Technology, vol.88, issue.12, pp.961-976, 1989.
DOI : 10.1111/j.1151-2916.1977.tb16106.x

S. Ramanathan and D. S. Fisher, Onset of propagation of planar cracks in heterogeneous media, Physical Review B, vol.58, issue.10, pp.6026-6046, 1998.
DOI : 10.1103/PhysRevB.58.6026

S. Roux, D. Vandembroucq, and F. Hild, Effective toughness of heterogeneous brittle materials, European Journal of Mechanics - A/Solids, vol.22, issue.5, 2003.
DOI : 10.1016/S0997-7538(03)00078-0

URL : https://hal.archives-ouvertes.fr/hal-00002754

J. Schmittbuhl, S. Roux, J. Vilotte, and K. J. Måløy, Pinning of interfacial crack: Effect of non-local interactions, Phys. Rev. Lett, pp.74-1787, 1995.

J. Schmittbuhl, J. Vilotte, and S. Roux, Reliability of self-affine measurements, Physical Review E, vol.51, issue.1, pp.131-147, 1995.
DOI : 10.1103/PhysRevE.51.131

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

A. Tanguy, M. Gounelle, and S. Roux, From individual to collective pinning: Effect of long-range elastic interactions, Physical Review E, vol.58, issue.2, pp.1577-1590, 1998.
DOI : 10.1103/PhysRevE.58.1577