L. Ambrosio, Existence theory for a new class of variational problems, Archive for Rational Mechanics and Analysis, vol.34, issue.2, pp.291-322, 1990.
DOI : 10.1007/BF00376024

H. A. Bahr, G. Fischer, and H. J. Weiss, Thermal-shock crack patterns explained by single and multiple crack propagation, Journal of Materials Science, vol.52, issue.8, pp.2716-2720, 1986.
DOI : 10.1007/BF00551478

H. Bahr, H. Weiss, U. Bahr, M. Hofmann, G. Fischer et al., Scaling behavior of thermal shock crack patterns and tunneling cracks driven by cooling or drying, Journal of the Mechanics and Physics of Solids, vol.58, issue.9, pp.1411-1421, 2010.
DOI : 10.1016/j.jmps.2010.05.005

H. Bahr, H. Weiss, H. Maschke, and F. Meissner, Multiple crack propagation in a strip caused by thermal shock, Theoretical and Applied Fracture Mechanics, vol.10, issue.3, pp.219-226, 1988.
DOI : 10.1016/0167-8442(88)90014-6

Z. Bazant, H. Ohtsubo, and K. Aoh, Stability and post-critical growth of a system of cooling or shrinkage cracks, International Journal of Fracture, vol.39, issue.No. 5, pp.443-456, 1979.
DOI : 10.1007/BF00023331

A. Benallal and J. Marigo, Bifurcation and stability issues in gradient theories with softening, S283. URL http://stacks.iop.org, pp.965-0393, 2007.
DOI : 10.1088/0965-0393/15/1/S22
URL : https://hal.archives-ouvertes.fr/hal-00551073

P. Berest, H. Djizanne, B. Brouard, and G. Hévin, Rapid depressurizations: can they lead to irreversible damage?, SMRI Spring 2012 Technical Conference, 2012.

J. Bisschop and F. K. Wittel, Contraction gradient induced microcracking in hardened cement paste, Cement and Concrete Composites, pp.466-473, 2011.
DOI : 10.1016/j.cemconcomp.2011.02.004

M. J. Borden, C. V. Verhoosel, M. A. Scott, T. J. Hughes, and C. M. Landis, A phase-field description of dynamic brittle fracture, Computer Methods in Applied Mechanics and Engineering, vol.217, issue.220, pp.77-95, 2012.
DOI : 10.1016/j.cma.2012.01.008

B. Bourdin, The variational formulation of brittle fracture: numerical implementation and extensions, IUTAM Symposium on Discretization Methods for Evolving Discontinuities, pp.381-393, 2007.
DOI : 10.1007/978-1-4020-6530-9_22

B. Bourdin, G. Francfort, and J. Marigo, Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids, vol.48, issue.4, pp.797-826, 2000.
DOI : 10.1016/S0022-5096(99)00028-9

B. Bourdin, C. Maurini, and M. Knepley, Numerical simulation of reservoir stimulation -a variational approach, 2011.

A. Braides, ?-convergence for beginners. Oxford Lecture Series in Mathematics and its Applications 22, 2002.

V. Y. Chertkov, Modelling cracking stages of saturated soils as they dry and shrink, European Journal of Soil Science, vol.13, issue.1, pp.105-118, 2002.
DOI : 10.1016/0016-7061(96)00033-X

H. Colina and P. Acker, Drying cracks: Kinematics and scale laws, Materials and Structures, vol.8, issue.196, pp.101-107, 2000.
DOI : 10.1007/BF02484164

G. 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. Gauthier, V. Lazarus, and L. Pauchard, Shrinkage star-shaped cracks: Explaining the transition from 90 degrees to 120 degrees, EPL (Europhysics Letters), vol.89, issue.2, 2010.
DOI : 10.1209/0295-5075/89/26002

J. F. Geyer and S. Nemat-nasser, Experimental investigation of thermally induced interacting cracks in brittle solids, International Journal of Solids and Structures, vol.18, issue.4, pp.349-356, 1982.
DOI : 10.1016/0020-7683(82)90059-2

L. Goehring, L. Mahadevan, and S. W. Morris, Nonequilibrium scale selection mechanism for columnar jointing, Proceedings of the National Academy of Sciences, vol.106, issue.2, pp.387-392, 2009.
DOI : 10.1073/pnas.0805132106

D. P. Hasselman, Unified Theory of Thermal Shock Fracture Initiation and Crack Propagation in Brittle Ceramics, Journal of the American Ceramic Society, vol.45, issue.4, pp.600-604, 1969.
DOI : 10.1088/0959-5309/58/6/312

V. Hernandez, J. E. Roman, and V. Vidal, SLEPc, ACM Transactions on Mathematical Software, vol.31, issue.3, pp.351-362, 2005.
DOI : 10.1145/1089014.1089019

E. A. Jagla, Stable propagation of an ordered array of cracks during directional drying, Physical Review E, vol.65, issue.4, 2002.
DOI : 10.1103/PhysRevE.65.046147

D. R. Jenkins, Optimal spacing and penetration of cracks in a shrinking slab, Physical Review E, vol.71, issue.5, 2005.
DOI : 10.1103/PhysRevE.71.056117

C. Jiang, X. Wu, J. Li, F. Song, Y. Shao et al., A study of the mechanism of formation and numerical simulations of crack patterns in ceramics subjected to thermal shock, Acta Materialia, vol.60, issue.11, pp.4540-4550, 2012.
DOI : 10.1016/j.actamat.2012.05.020

E. Jones, T. Oliphant, and P. Peterson, SciPy: Open source scientific tools for Python, 2001.

A. Logg, K. Mardal, and G. N. Wells, Automated Solution of Differential Equations by the Finite Element Method, pp.978-981, 2012.
DOI : 10.1007/978-3-642-23099-8

T. Lu and N. Fleck, The thermal shock resistance of solids, Acta Materialia, vol.46, issue.13, pp.4755-4768, 1998.
DOI : 10.1016/S1359-6454(98)00127-X

C. Miehe, M. Hofacker, and F. Welschinger, A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.45-48, pp.45-48, 2010.
DOI : 10.1016/j.cma.2010.04.011

P. H. Morris, J. Graham, and D. J. Williams, Cracking in drying soils, Canadian Geotechnical Journal, vol.29, issue.2, pp.263-277, 1992.
DOI : 10.1139/t92-030

Q. Nguyen, Stability and Nonlinear Solid Mechanics, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00105248

Q. S. Nguyen, Bifurcation and Stability in Dissipative Media (Plasticity, Friction, Fracture), Applied Mechanics Reviews, vol.47, issue.1, pp.1-31, 1994.
DOI : 10.1115/1.3111068
URL : https://hal.archives-ouvertes.fr/hal-00105468

B. Penmecha and K. Bhattacharya, Parallel edge cracks due to a phase transformation, International Journal of Solids and Structures, vol.50, issue.10, pp.1550-1561, 2013.
DOI : 10.1016/j.ijsolstr.2013.01.027

K. Pham and J. Marigo, Approche variationnelle de l'endommagement : I. Les concepts fondamentaux, Comptes Rendus M??canique, vol.338, issue.4, pp.191-198, 2010.
DOI : 10.1016/j.crme.2010.03.009
URL : https://hal.archives-ouvertes.fr/hal-00490518

K. Pham and J. Marigo, Approche variationnelle de l'endommagement : II. Les mod??les ?? gradient, Comptes Rendus M??canique, vol.338, issue.4, pp.199-206, 2010.
DOI : 10.1016/j.crme.2010.03.012
URL : https://hal.archives-ouvertes.fr/hal-00490520

K. Pham and J. Marigo, From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models, Continuum Mechanics and Thermodynamics, vol.30, issue.6, pp.2-4, 2013.
DOI : 10.1007/s00161-011-0228-3
URL : https://hal.archives-ouvertes.fr/hal-00647860

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.1163-1190, 2011.
DOI : 10.1016/j.jmps.2011.03.010
URL : https://hal.archives-ouvertes.fr/hal-00578995

Y. Shao, X. Xu, S. Meng, G. Bai, C. Jiang et al., Crack Patterns in Ceramic Plates after Quenching, Journal of the American Ceramic Society, vol.15, issue.[5], pp.3006-3008, 2010.
DOI : 10.1111/j.1551-2916.2010.03971.x

Y. Shao, Y. Zhang, X. Xu, Z. Zhou, W. Li et al., Effect of Crack Pattern on the Residual Strength of Ceramics After Quenching, Journal of the American Ceramic Society, vol.45, issue.24, pp.2804-2807, 2011.
DOI : 10.1111/j.1551-2916.2011.04728.x