T. Saksala, P. Forquin, and F. Hild, Numerical Modelling of Rock Fracture in Percussive Drilling, Probabilistic Damage Model of the Dynamic Fragmentation Process in Brittle Materials, pp.1-72, 2010.

X. C. Tan, S. Q. Kou, and P. Lindqvist, Application of the DDM and fracture mechanics model on the simulation of rock breakage by mechanical tools, Engineering Geology, vol.49, issue.3-4, pp.3-4, 1998.
DOI : 10.1016/S0013-7952(97)00059-8

Z. Fang, H. , and J. P. , Development of a local degradation approach to the modelling of brittle fracture in heterogeneous rocks, International Journal of Rock Mechanics and Mining Sciences, vol.39, issue.4, pp.443-457, 2002.
DOI : 10.1016/S1365-1609(02)00035-7

E. C. David, N. Brantut, A. Schubnel, R. W. Schubnel, and . Zimmerman, Sliding crack model for nonlinearity and hysteresis in the uniaxial stress???strain curve of rock, International Journal of Rock Mechanics and Mining Sciences, vol.52, pp.9-17, 2012.
DOI : 10.1016/j.ijrmms.2012.02.001

S. Peng, J. , and A. M. , Crack growth and faulting in cylindrical specimens of chelmsford granite, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, pp.37-86, 1972.
DOI : 10.1016/0148-9062(72)90050-2

A. Bäckström, J. Antikainen, T. Backers, X. Feng, L. Jing et al., Numerical modelling of uniaxial compressive failure of granite with and without saline porewater, International Journal of Rock Mechanics and Mining Sciences, vol.45, issue.7, pp.1126-1142, 2008.
DOI : 10.1016/j.ijrmms.2007.12.001

B. H. Brady, Rock mechanics: for underground mining, 2004.

M. Shimada, A. Cho, Y. , and H. , Fracture strength of dry silicate rocks at high confining pressures and activity of acoustic emission, Tectonophysics, vol.96, issue.1-2, pp.159-172, 1983.
DOI : 10.1016/0040-1951(83)90248-2

H. Y. Liu, S. Q. Kou, P. Lindqvist, and C. A. Tang, Numerical simulation of the rock fragmentation process induced by indenters, International Journal of Rock Mechanics and Mining Sciences, vol.39, issue.4, pp.491-505, 2002.
DOI : 10.1016/S1365-1609(02)00043-6

S. Y. Wang, S. W. Sloan, H. Y. Liu, and C. A. Tang, Numerical simulation of the rock fragmentation process induced by two drill bits subjected to static and dynamic (impact) loading, Rock Mechanics and Rock Engineering, vol.43, issue.1, pp.317-332, 2011.
DOI : 10.1016/j.ijrmms.2005.06.008

T. Saksala, Damage-viscoplastic consistency model with a parabolic cap for rocks with brittle and ductile behavior under low-velocity impact loading, International Journal for Numerical and Analytical Methods in Geomechanics, vol.34, issue.13, pp.1362-1386, 2010.
DOI : 10.1016/j.pce.2008.10.007

T. Saksala, 3D numerical modelling of bit-rock fracture mechanisms in percussive drilling with a multiple-button bit, International Journal for Numerical and Analytical Methods in Geomechanics, vol.41, issue.157, pp.309-324, 2013.
DOI : 10.1002/nag.2088

R. D. Krieg, A simple constitutive description for soils and crushable foams, 1978.

D. V. Swenson, T. , and L. M. , A finite element model for the analysis of tailored pulse stimulation of boreholes, International Journal for Numerical and Analytical Methods in Geomechanics, vol.187, issue.4, pp.469-484, 1983.
DOI : 10.1002/nag.1610070408

C. Denoual and F. Hild, A damage model for the dynamic fragmentation of brittle solids, Computer Methods in Applied Mechanics and Engineering, vol.183, issue.3-4, pp.247-258, 2000.
DOI : 10.1016/S0045-7825(99)00221-2

URL : https://hal.archives-ouvertes.fr/hal-00013966

B. Erzar and P. Forquin, Analysis and modelling of the cohesion strength of concrete at high strain-rates, International Journal of Solids and Structures, vol.51, issue.14, pp.2559-2574, 2014.
DOI : 10.1016/j.ijsolstr.2014.01.023

P. Forquin and B. Erzar, Dynamic fragmentation process in concrete under impact and spalling tests, International Journal of Fracture, vol.37, issue.9, pp.193-215, 2010.
DOI : 10.1007/978-94-011-9055-8

P. Forquin, G. Gary, and F. Gatuingt, A testing technique for concrete under confinement at high rates of strain, International Journal of Impact Engineering, vol.35, issue.6, pp.425-446, 2008.
DOI : 10.1016/j.ijimpeng.2007.04.007

URL : https://hal.archives-ouvertes.fr/hal-00994320

P. Forquin, K. Safa, and G. Gary, Influence of free water on the quasi-static and dynamic strength of concrete in confined compression tests, Cement and Concrete Research, vol.40, issue.2, pp.321-333, 2010.
DOI : 10.1016/j.cemconres.2009.09.024

URL : https://hal.archives-ouvertes.fr/hal-00425466

V. Vajdova, P. Baud, and W. , Compaction, dilatancy, and failure in porous carbonate rocks, Journal of Geophysical Research: Solid Earth, vol.30, issue.EM5, 2004.
DOI : 10.1029/96JB03281

W. Weibull, A Statistical Theory of the Strength of Materials, Report Royal Institute of Technology, vol.151, 1939.

W. Weibull, A statistical distribution function of wide applicability, J. Appl. Mech, vol.18, issue.3, pp.293-297, 1951.

D. G. Davies, The statistical approach to engineering design in ceramics, Proc. Brit. Ceram. Soc, pp.429-452, 1973.

G. D. Quinn, Weibull Strength Scaling for Standardized Rectangular Flexure Specimens, Journal of the American Ceramic Society, vol.86, issue.3, pp.508-510, 2003.
DOI : 10.1243/PIME_PROC_1976_190_062_02

A. R. Da-silva, S. P. Proença, R. Billardon, and F. Hild, Probabilistic Approach to Predict Cracking in Lightly Reinforced Microconcrete Panels, Journal of Engineering Mechanics, vol.130, issue.8, pp.931-941, 2004.
DOI : 10.1061/(ASCE)0733-9399(2004)130:8(931)

URL : https://hal.archives-ouvertes.fr/hal-00002928

R. Gy and C. Guillemet, Characterization of a mode of rupture of glass at 610 C, 1992.

B. Budiansky, O. , and R. J. , Elastic moduli of a cracked solid, International Journal of Solids and Structures, vol.12, issue.2, pp.81-97, 1976.
DOI : 10.1016/0020-7683(76)90044-5

H. Horii and S. Nemat-nasser, Overall moduli of solids with microcracks: Load-induced anisotropy, Journal of the Mechanics and Physics of Solids, vol.31, issue.2, pp.155-171, 1983.
DOI : 10.1016/0022-5096(83)90048-0

M. Kachanov, Elastic solids with many cracks: A simple method of analysis, International Journal of Solids and Structures, vol.23, issue.1, pp.23-43, 1987.
DOI : 10.1016/0020-7683(87)90030-8