M. J. Alava, P. K. Nukala, and S. Zapperi, Statistical models of fracture, Advances in Physics, vol.1, issue.3-4, pp.3-4349, 2006.
DOI : 10.1088/0305-4470/37/6/009

D. Amitrano, Brittle-ductile transition and associated seismicity: Experimental and numerical studies and relationship with the b value, Journal of Geophysical Research: Solid Earth, vol.108, issue.B1, 1978.
URL : https://hal.archives-ouvertes.fr/hal-00173129

D. Amitrano, Rupture by damage accumulation in rocks, International Journal of Fracture, vol.388, issue.14 august 1997, pp.369-381, 2006.
DOI : 10.1007/s10704-006-0053-z
URL : https://hal.archives-ouvertes.fr/hal-00172592

D. Amitrano, J. Grasso, and D. Hantz, From diffuse to localised damage through elastic interaction, Geophysical Research Letters, vol.388, issue.2, pp.2109-2112, 1999.
DOI : 10.1029/1999GL900388

M. Ashby and C. Sammis, The damage mechanics of brittle solids in compression, Pure and Applied Geophysics PAGEOPH, vol.67, issue.3, pp.489-521, 1990.
DOI : 10.1007/BF00878002

A. Barabási and H. E. Stanley, Fractal concepts in surface growth, 1995.

J. Baró, ´. A. Corral, X. Illa, A. Planes, E. K. Salje et al., Statistical Similarity between the Compression of a Porous Material and Earthquakes, Physical Review Letters, vol.110, issue.8, 2013.
DOI : 10.1103/PhysRevLett.110.088702

Z. P. Ba?ant, Nonlocal Damage Theory Based on Micromechanics of Crack Interactions, Journal of Engineering Mechanics, vol.120, issue.3, pp.593-617, 1994.
DOI : 10.1061/(ASCE)0733-9399(1994)120:3(593)

Z. P. Ba?ant and G. Pijaudier-cabot, Nonlocal Continuum Damage, Localization Instability and Convergence, Journal of Applied Mechanics, vol.55, issue.2, pp.287-293, 1988.
DOI : 10.1115/1.3173674

Z. P. Ba?ant, S. S-¸-ener, and P. C. Prat, Size effect tests of torsional failure of plain and reinforced concrete beams, Materials and Structures, vol.110, issue.8, pp.425-430, 1988.
DOI : 10.1007/BF02472322

D. Bideau, A. Gervois, L. Oger, and J. Troadec, Geometrical properties of disordered packings of hard disks, Journal de Physique, vol.47, issue.10, pp.471697-1707, 1986.
DOI : 10.1051/jphys:0198600470100169700
URL : https://hal.archives-ouvertes.fr/jpa-00210366

D. Bigoni, Nonlinear solid mechanics: bifurcation theory and material instability, 2012.
DOI : 10.1017/CBO9781139178938

D. Bonamy, Intermittency and roughening in the failure of brittle heterogeneous materials, Journal of Physics D: Applied Physics, vol.42, issue.21, pp.214014-214036, 2009.
DOI : 10.1088/0022-3727/42/21/214014
URL : https://hal.archives-ouvertes.fr/hal-00405226

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

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.101, issue.4, p.45501, 2008.
DOI : 10.1103/PhysRevLett.101.045501
URL : https://hal.archives-ouvertes.fr/hal-00260014

A. 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

J. Buffiere, E. Maire, J. Adrien, J. Masse, and E. Boller, In Situ Experiments with X ray Tomography: an Attractive Tool for Experimental Mechanics, Experimental Mechanics, vol.17, issue.2, pp.50289-305, 2010.
DOI : 10.1007/s11340-010-9333-7

A. Carpinteri and G. Ferro, Size effects on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure, Materials and Structures, vol.4, issue.10, pp.27563-571, 1994.
DOI : 10.1007/BF02473124

P. P. Castañeda and J. R. Willis, The effect of spatial distribution on the effective behavior of composite materials and cracked media, Journal of the Mechanics and Physics of Solids, vol.43, issue.12, pp.431919-1951, 1995.
DOI : 10.1016/0022-5096(95)00058-Q

J. Chaboche, Continuum damage mechanics: Present state and future trends, Nuclear Engineering and Design, vol.105, issue.1, pp.19-33, 1987.
DOI : 10.1016/0029-5493(87)90225-1

I. Daniel and A. Charewicz, Fatigue damage mechanisms and residual properties of graphite/epoxy laminates, Engineering Fracture Mechanics, vol.25, issue.5-6, pp.793-808, 1986.
DOI : 10.1016/0013-7944(86)90042-1

J. Davidsen, S. Stanchits, and G. Dresen, Scaling and Universality in Rock Fracture, Physical Review Letters, vol.98, issue.12, p.125502, 2007.
DOI : 10.1103/PhysRevLett.98.125502
URL : http://arxiv.org/abs/cond-mat/0610720

D. Arcangelis, L. Redner, S. , H. , and H. , A random fuse model for breaking processes, Journal de Physique Lettres, vol.46, issue.13, pp.46585-590, 1985.
DOI : 10.1051/jphyslet:019850046013058500
URL : https://hal.archives-ouvertes.fr/jpa-00232564

D. Vree, J. Brekelmans, W. , V. Gils, and M. , Comparison of nonlocal approaches in continuum damage mechanics, Computers & Structures, vol.55, issue.4, pp.581-588, 1995.
DOI : 10.1016/0045-7949(94)00501-S

. Démery, Stability analysis of a heterogeneously damaged solid

S. Deschanel, L. Vanel, N. Godin, G. Vigier, C. et al., Experimental study of crackling noise: conditions on power law scaling correlated with fracture precursors Acoustic emission from volcanic rocks: an example of self-organized criticality, Journal of Statistical Mechanics: Theory and Experiment, issue.0117, pp.1018-1045, 1991.

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, 1957.

A. Evans, Acoustic emission sources in brittle solids, 2011.

D. S. Fisher, Collective transport in random media: from superconductors to earthquakes, Physics Reports, vol.301, issue.1-3, pp.113-150, 1998.
DOI : 10.1016/S0370-1573(98)00008-8

B. Florijn, C. Coulais, and M. Van-hecke, Programmable mechanical metamaterials. Physical review letters, p.175503, 2014.
DOI : 10.1103/physrevlett.113.175503
URL : http://arxiv.org/abs/1407.4273

J. Fortin, S. Stanchits, G. Dresen, and Y. Guéguen, Acoustic emission and velocities associated with the formation of compaction bands in sandstone, Journal of Geophysical Research, vol.95, issue.B11, p.111, 1978.
DOI : 10.1029/2005JB003854

J. Fortin, S. Stanchits, G. Dresen, and Y. Gueguen, Acoustic emissions monitoring during inelastic deformation of porous sandstone: comparison of three modes of deformation, pp.823-841, 2009.

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

A. ´. Garcimartín, A. Guarino, L. Lebon, C. , and S. , Statistical Properties of Fracture Precursors, Physical Review Letters, vol.79, issue.17, 1997.
DOI : 10.1103/PhysRevLett.79.3202

T. Giamarchi, A. Kolton, and A. Rosso, Dynamics of Disordered Elastic Systems, pp.91-108, 2006.
DOI : 10.1007/3-540-33204-9_6
URL : https://hal.archives-ouvertes.fr/hal-00361528

L. Girard, D. Amitrano, and J. Weiss, Failure as a critical phenomenon in a progressive damage model, Journal of Statistical Mechanics: Theory and Experiment, vol.2010, issue.01, pp.2010-01013, 2010.
DOI : 10.1088/1742-5468/2010/01/P01013
URL : https://hal.archives-ouvertes.fr/insu-00548673

J. Grasso and D. Sornette, Testing self-organized criticality by induced seismicity, Journal of Geophysical Research: Solid Earth, vol.97, issue.B12, pp.29965-29987, 1978.
DOI : 10.1029/97JB01344

D. Grégoire, L. Rojas-solano, and G. Pijaudier-cabot, Failure and size effect for notched and unnotched concrete beams, International Journal for Numerical and Analytical Methods in Geomechanics, vol.49, issue.52, pp.371434-1452, 2013.
DOI : 10.1002/nag.2180

A. A. Griffith, The phenomena of rupture and flow in solids. Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, pp.163-198, 1921.

A. Guarino, S. Ciliberto, A. Garcimartín, M. Zei, and R. Scorretti, Failure time and critical behaviour of fracture precursors in heterogeneous materials, The European Physical Journal B, vol.26, issue.2, pp.141-151, 2002.
DOI : 10.1140/epjb/e20020075

A. Guarino, A. Garcimartín, C. , and S. , 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

E. Guyon, S. Roux, A. Hansen, D. Bideau, J. Troadec et al., Non-local and non-linear problems in the mechanics of disordered systems: application to granular media and rigidity problems, Reports on Progress in Physics, vol.53, issue.4, p.373, 1990.
DOI : 10.1088/0034-4885/53/4/001

A. Hansen and P. Hemmer, Burst avalanches in bundles of fibers: Local versus global load-sharing, Physics Letters A, vol.184, issue.6, pp.394-396, 1994.
DOI : 10.1016/0375-9601(94)90511-8

A. Hansen and S. Roux, Statistics Toolbox for Damage and Fracture, 2000.
DOI : 10.1007/978-3-7091-2504-5_2

M. J. Heap, S. Vinciguerra, M. , and P. , The evolution of elastic moduli with increasing crack damage during cyclic stressing of a basalt from Mt. Etna volcano, Tectonophysics, vol.471, issue.1-2, pp.471153-160, 2009.
DOI : 10.1016/j.tecto.2008.10.004

L. Helfen, A. Myagotin, P. Mikulík, P. Pernot, A. Voropaev et al., On the implementation of computed laminography using synchrotron radiation, Review of Scientific Instruments, vol.82, issue.6, p.63702, 2011.
DOI : 10.1063/1.3596566

H. J. Herrmann and S. Roux, Statistical models for the fracture of disordered media, 2014.

R. C. Hidalgo, F. Kun, H. , and H. J. , 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

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

F. Hild, A. Bouterf, R. , and S. , Damage measurements via DIC, International Journal of Fracture, vol.46, issue.3, pp.77-105, 2015.
DOI : 10.1007/s10704-015-0004-7
URL : https://hal.archives-ouvertes.fr/hal-01166736

H. Horii and S. Nemat-nasser, Compressioninduced microcrack growth in brittle solids: Axial splitting and shear failure, Journal of Geophysical Research: Solid Earth, issue.B4, pp.903105-3125, 1978.

M. Jirásek, Nonlocal models for damage and fracture: Comparison of approaches, International Journal of Solids and Structures, vol.35, issue.31-32, pp.4133-4145, 1998.
DOI : 10.1016/S0020-7683(97)00306-5

M. Jirásek, Modeling of localized inelastic deformation, lecture notes Elastic solids with many cracks: a simple method of analysis, International Journal of Solids and Structures, vol.23, issue.1, pp.23-43, 1987.

M. Kachanov, On the problems of crack interactions and crack coalescence, International Journal of Fracture, vol.120, issue.3, pp.537-543, 2003.
DOI : 10.1023/A:1025448314409

V. Kashcheyevs, Exact non-Hookean scaling of cylindrically bent elastic sheets and the large-amplitude pendulum, American Journal of Physics, vol.79, issue.6, pp.657-661, 2011.
DOI : 10.1119/1.3553232

O. Katz and Z. Reches, Microfracturing, damage, and failure of brittle granites, Journal of Geophysical Research: Solid Earth, vol.3, issue.2, 1978.
DOI : 10.1029/2002JB001961

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

D. Krajcinovic, Damage mechanics, Mechanics of Materials, vol.8, issue.2-3, pp.117-197, 1989.
DOI : 10.1016/0167-6636(89)90011-2
URL : https://hal.archives-ouvertes.fr/hal-00571166

D. Krajcinovic and J. Van-mier, Introduction to Damage Mechanics, 2000.
DOI : 10.1007/978-3-7091-2504-5_1

F. Kun, F. Raischel, R. Hidalgo, H. , and H. , Extensions of Fibre Bundle Models, pp.57-92, 2006.
DOI : 10.1007/3-540-35375-5_3

H. Kupfer, H. K. Hilsdorf, and H. Rusch, Behavior of concrete under biaxial stresses, 1969.

B. R. Lawn and D. B. Marshall, Nonlinear stress-strain curves for solids containing closed cracks with friction, Journal of the Mechanics and Physics of Solids, vol.46, issue.1, pp.85-113, 1998.
DOI : 10.1016/S0022-5096(97)00036-7

X. Lei, O. Nishizawa, K. Kusunose, and T. Satoh, Fractal Structure of the Hypocenter Distributions and Focal Mechanism Solutions of Acoustic Emission in Two Granites of Different Grain Sizes., Journal of Physics of the Earth, vol.40, issue.6, pp.617-634, 1992.
DOI : 10.4294/jpe1952.40.617

J. Lemaitre, A course on damage mechanics, 2012.
DOI : 10.1007/978-3-642-18255-6

J. Lemaitre and J. Dufailly, Damage measurements, Engineering Fracture Mechanics, vol.28, issue.5-6, pp.643-661, 1987.
DOI : 10.1016/0013-7944(87)90059-2

H. Leschhorn, T. Nattermann, S. Stepanow, and L. Tang, Driven interface depinning in a disordered medium, Annalen der Physik, vol.44, issue.1, pp.1-34, 1997.
DOI : 10.1002/andp.19975090102
URL : http://arxiv.org/abs/cond-mat/9603114

J. Lin, E. Lerner, A. Rosso, and M. Wyart, Scaling description of the yielding transition in soft amorphous solids at zero temperature, Proceedings of the National Academy of Sciences, pp.11114382-14387, 2014.
DOI : 10.1073/pnas.1406391111
URL : https://hal.archives-ouvertes.fr/hal-01087622

D. Lockner, The role of acoustic emission in the study of rock fracture, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.30, issue.7, 1993.
DOI : 10.1016/0148-9062(93)90041-B

D. Lockner, J. Byerlee, V. Kuksenko, A. Ponomarev, and A. Sidorin, Quasi-static fault growth and shear fracture energy in granite, Nature, vol.350, issue.6313, pp.35039-35081, 1991.
DOI : 10.1038/350039a0

D. Locknet and J. D. Byerlee, Precursory ae patterns leading to rock fracture. Series on rock and soil mechanics, pp.45-58, 1995.

E. Lorentz and S. Andrieux, Analysis of non-local models through energetic formulations, International Journal of Solids and Structures, vol.40, issue.12, pp.2905-2936, 2003.
DOI : 10.1016/S0020-7683(03)00110-0

C. Maes, A. Van-moffaert, 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

E. Maire and P. Withers, Quantitative x-ray tomography. International materials reviews, pp.1-43, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00985576

J. Mazars, D. Boerman, and G. Piatti, Mechanical damage and fracture of concrete structures, 2013.

P. K. Nukala, S. Zapperi, and S. , Statistical properties of fracture in a random spring model, Physical Review E, vol.71, issue.6, p.71066106, 2005.
DOI : 10.1103/PhysRevE.71.066106

L. Obert, Use of subaudible noises for prediction of rock bursts, 1941.

S. Papka and S. Kyriakides, Biaxial crushing of honeycombs, International Journal of Solids and Structures, vol.36, issue.29, pp.4367-4396, 1999.
DOI : 10.1016/S0020-7683(98)00224-8

S. D. Papka and S. Kyriakides, In-plane crushing of a polycarbonate honeycomb, International Journal of Solids and Structures, vol.35, issue.3-4, pp.239-267, 1998.
DOI : 10.1016/S0020-7683(97)00062-0

R. H. Peerlings, R. De-borst, W. A. Brekelmans, and J. H. De-vree, GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS, International Journal for Numerical Methods in Engineering, vol.23, issue.19, pp.3391-3403, 1996.
DOI : 10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D

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.733423, 1994.
DOI : 10.1103/PhysRevLett.73.3423

K. Pham, H. Amor, J. Marigo, and C. Maurini, Gradient Damage Models and Their Use to Approximate Brittle Fracture, International Journal of Damage Mechanics, vol.30, issue.4, pp.618-652, 2011.
DOI : 10.1016/0029-5493(92)90094-C
URL : https://hal.archives-ouvertes.fr/hal-00549530

K. Pham, J. Marigo, and C. Maurini, The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models, Journal of the Mechanics and Physics of Solids, vol.59, issue.6, pp.591163-1190, 2011.
DOI : 10.1016/j.jmps.2011.03.010
URL : https://hal.archives-ouvertes.fr/hal-00578995

C. B. Picallo, J. M. López, G. Picard, A. Ajdari, F. Lequeux et al., Energy dissipation statistics in the random fuse model Elastic consequences of a single plastic event: A step towards the microscopic modeling of the flow of yield stress fluids, Physical Review E The European Physical Journal E, vol.77, issue.154, pp.46114371-381, 2004.

G. Pijaudier-cabot and Z. P. Ba?ant, Nonlocal Damage Theory, Journal of Engineering Mechanics, vol.113, issue.10, pp.1512-1533, 1987.
DOI : 10.1061/(ASCE)0733-9399(1987)113:10(1512)

G. Pijaudier-cabot and Y. Berthaud, Effets des interactions dans l'endommagement d'un milieu fragile. formulation non locale. Comptes rendus de l'Académie des sciences, pp.3101577-1582, 1990.

G. Pijaudier-cabot, K. Haidar, and J. Dubé, Nonlocal damage model with evolving internal length. International journal for numerical and analytical methods in geomechanics, pp.28633-652, 2004.
DOI : 10.1002/nag.367
URL : https://hal.archives-ouvertes.fr/hal-01007119

C. Poirier, M. Ammi, D. Bideau, and J. Troadec, Experimental study of the geometrical effects in the localization of deformation, Physical Review Letters, vol.68, issue.2, p.216, 1992.
DOI : 10.1103/PhysRevLett.68.216

B. Poon, L. Ponson, J. Zhao, and G. And-ravichandran, Damage accumulation and hysteretic behavior of MAX phase materials, Journal of the Mechanics and Physics of Solids, vol.59, issue.10, pp.592238-2257, 2011.
DOI : 10.1016/j.jmps.2011.03.012

S. Pradhan, P. Bhattacharyya, C. , and B. , Dynamic critical behavior of failure and plastic deformation in the random fiber bundle model, Physical Review E, vol.66, issue.1, p.16116, 2002.
DOI : 10.1103/PhysRevE.66.016116

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

S. Pradhan, A. Hansen, and P. C. Hemmer, Crossover behavior in failure avalanches, Physical Review E, vol.74, issue.1, p.16122, 2006.
DOI : 10.1103/PhysRevE.74.016122

H. Pratt, A. Black, W. Brown, and W. Brace, The effect of speciment size on the mechanical properties of unjointed diorite, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.9, issue.4, 1972.
DOI : 10.1016/0148-9062(72)90042-3

G. Puglisi and L. Truskinovsky, Thermodynamics of rate-independent plasticity, Journal of the Mechanics and Physics of Solids, vol.53, issue.3, pp.655-679, 2005.
DOI : 10.1016/j.jmps.2004.08.004
URL : https://hal.archives-ouvertes.fr/hal-00111441

F. Raischel, F. Kun, H. , and H. J. , Continuous damage fiber bundle model for strongly disordered materials, Physical Review E, vol.77, issue.4, p.46102, 2008.
DOI : 10.1103/PhysRevE.77.046102
URL : http://arxiv.org/abs/0706.1554

G. Ravichandran and G. Subhash, A micromechanical model for high strain rate behavior of ceramics, International Journal of Solids and Structures, vol.32, issue.17-18, pp.2627-2646, 1995.
DOI : 10.1016/0020-7683(94)00286-6

L. B. Rojas-solano, D. Grégoire, and G. Pijaudier-cabot, Interaction-based non-local damage model for failure in quasi-brittle materials, Mechanics Research Communications, vol.54, pp.56-62, 2013.
DOI : 10.1016/j.mechrescom.2013.09.011
URL : https://hal.archives-ouvertes.fr/hal-00867464

L. Salminen, M. Alava, and K. Niskanen, Analysis of long crack lines in paper webs, The European Physical Journal B - Condensed Matter, vol.32, issue.3, 2003.
DOI : 10.1140/epjb/e2003-00111-x

L. Salminen, A. Tolvanen, A. , and M. , Acoustic Emission from Paper Fracture, Physical Review Letters, vol.89, issue.18, p.89185503, 2002.
DOI : 10.1103/PhysRevLett.89.185503
URL : http://arxiv.org/abs/cond-mat/0301299

P. Schall, D. A. Weitz, and F. Spaepen, Structural Rearrangements That Govern Flow in Colloidal Glasses, Science, vol.318, issue.5858, pp.3181895-1899, 2007.
DOI : 10.1126/science.1149308
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.847

J. Schmittbuhl, S. Roux, J. Vilotte, and K. J. Måløy, Interfacial Crack Pinning: Effect of Nonlocal Interactions, Physical Review Letters, vol.74, issue.10, p.741787, 1995.
DOI : 10.1103/PhysRevLett.74.1787

G. Schneebeli, Une analogie mécanique pour les terres sans cohésion. Comptes rendus hebdomadaires des séances de l'académie des sciences, pp.125-126, 1956.

J. P. Sethna, K. A. Dahmen, and C. R. Myers, Crackling noise, Nature, vol.81, issue.6825, pp.410242-250, 2001.
DOI : 10.1038/35065675

D. Sornette and J. V. Andersen, Scaling with respect to disorder in time-to-failure, The European Physical Journal B, vol.1, issue.3, 1998.
DOI : 10.1007/s100510050194

M. Stojanova, S. Santucci, L. Vanel, R. , and O. , High Frequency Monitoring Reveals Aftershocks in Subcritical Crack Growth, Physical Review Letters, vol.112, issue.11, p.115502, 2014.
DOI : 10.1103/PhysRevLett.112.115502

T. Travers, M. Ammi, D. Bideau, A. Gervois, J. Messager et al., Uniaxial Compression of 2d Packings of Cylinders. Effects of Weak Disorder, Europhysics Letters (EPL), vol.4, issue.3, p.329, 1987.
DOI : 10.1209/0295-5075/4/3/012

T. Travers, D. Bideau, A. Gervois, J. Troadec, and J. Messager, Uniaxial compression effects on 2d mixtures of'hard'and'soft'cylinders, Journal of physics A: mathematical and general, issue.16, pp.19-1033, 1986.

M. R. Van-vliet and J. G. Van-mier, Experimental investigation of size effect in concrete and sandstone under uniaxial tension, Engineering Fracture Mechanics, vol.65, issue.2-3, pp.165-188, 2000.
DOI : 10.1016/S0013-7944(99)00114-9

D. Vandembroucq and S. Roux, Mechanical noise dependent aging and shear banding behavior of a mesoscopic model of amorphous plasticity, Physical Review B, vol.84, issue.13, p.134210, 2011.
DOI : 10.1103/PhysRevB.84.134210
URL : https://hal.archives-ouvertes.fr/hal-00588610

W. Weibull, A statistical theory of the strength of materials, 1939.

J. Weiss, L. Girard, F. Gimbert, D. Amitrano, and D. Vandembroucq, (Finite) statistical size effects on compressive strength, Proceedings of the National Academy of Sciences, pp.1116231-6236, 2014.
DOI : 10.1073/pnas.1403500111
URL : https://hal.archives-ouvertes.fr/hal-00989386

L. Wu, S. Liu, Y. Wu, W. , and C. , Physical review letters Precursors for rock fracturing and failure? part i: Irr image abnormalities. International journal of rock mechanics and mining sciences, pp.105504-43473, 2006.
DOI : 10.1016/j.ijrmms.2005.09.002

S. Xia, L. Ponson, G. Ravichandran, and K. Bhattacharya, Toughening and Asymmetry in Peeling of Heterogeneous Adhesives, Physical Review Letters, vol.108, issue.19, 2012.
DOI : 10.1103/PhysRevLett.108.196101
URL : https://hal.archives-ouvertes.fr/hal-00679584

S. Xia, L. Ponson, G. Ravichandran, and K. Bhattacharya, Adhesion of heterogeneous thin films II: Adhesive heterogeneity, Journal of the Mechanics and Physics of Solids, vol.83
DOI : 10.1016/j.jmps.2015.06.010

S. Zapperi, P. Cizeau, G. Durin, and H. E. Stanley, Dynamics of a ferromagnetic domain wall: Avalanches, depinning transition, and the Barkhausen effect, Physical Review B, vol.58, issue.10, p.586353, 1998.
DOI : 10.1103/PhysRevB.58.6353

S. Zapperi, P. K. Nukala, and S. , Crack roughness and avalanche precursors in the random fuse model, Physical Review E, vol.71, issue.2, p.71026106, 2005.
DOI : 10.1103/PhysRevE.71.026106

S. Zapperi, A. Vespignani, and H. E. Stanley, Plasticity and avalanche behaviour in microfracturing phenomena, Nature, issue.6643, pp.388658-660, 1997.
DOI : 10.1557/proc-409-355
URL : http://arxiv.org/abs/cond-mat/9612096