D. A. Aboav, The arrangement of grains in a polycrystal, Metallography, vol.3, issue.4, pp.383-390, 1970.

D. A. Aboav, Arrangement of cells in a net, Metallography, vol.13, issue.1, pp.43-58, 1980.

J. Andersons, Y. Leterrier, and I. Fescenko, Analysis of the initial fragmentation stage of oxide coatings on polymer substrates under biaxial tension, Thin Solid Films, vol.434, pp.203-215, 2003.

O. Bernard, G. Amiri, C. Haut, B. Feltz, A. M. Huntz et al., Mechanical and microstructural characterisation of oxide films damage, Mater. Sci. Eng, vol.335, pp.32-42, 2002.

B. F. Chen, J. Hwang, G. P. Yu, and J. H. Huang, In situ observation of the cracking behavior of TiN coating on 304 stainless steel subjected to tensile strain, Thin Solid Films, vol.352, pp.173-178, 1999.

C. Daffos, P. Lamesle, and F. Rézaï-aria, Isothermal high temperature low cycle fatigue of 5% CrMiV tool nitride steels, Processes: High-Temp. Fatigue, pp.56-63, 2002.

G. Degallaix, P. Dufrenoy, J. Wong, P. Wicker, and F. Bumbieler, Failure mechanisms of TGV brake discs, Key Eng. Mater, vol.345, issue.346, pp.697-700, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00193278

G. Dour, F. Medjedoub, S. Le-roux, G. Diaconu, and F. Rézaï-aria, Normalized thermal stresses analysis to design a thermal fatigue experiment, J. Therm. Stress, vol.28, pp.1-16, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01666712

G. Dour, F. Medjedoub, G. Diaconu, D. Girardin, A. Michrafy et al., Size effect in transient thermal fatigue testing and thermo-mechanical screening of coatings, Int. J. Microstruct. Mater. Prop, vol.3, issue.2-3, pp.311-325, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01781645

A. G. Evans, G. B. Crumley, and R. E. Demarayt, On the mechanical behavior of brittle coatings and layers, Oxid. Met, vol.20, issue.5-6, pp.193-216, 1983.

A. G. Evans and J. W. Hutchinson, The thermo-mechanical integrity of thin films and multi-layers, Acta Metall. Mater, vol.43, pp.2507-2530, 1995.

S. Frank, U. A. Handge, S. Olliges, and R. Spolenak, The relationship between thin film fragmentation and buckle formation: synchrotronbased in situ studies and two-dimensional stress analysis, Acta Mater, vol.57, pp.1442-1453, 2009.

A. M. Freborg, B. L. Ferguson, W. J. Brindley, and G. J. Petrus, Modeling oxidation induced stresses in thermal barrier coatings, Mater. Sci. Eng, vol.245, pp.182-190, 1998.

S. Gao, K. Nakasa, and M. Kato, Analysis and simulation of cracking patterns in coating under biaxial tensile or thermal stress using analysis/FEM strain-accommodation method, Eng. Fract. Mech, vol.70, pp.1573-1591, 2003.

M. Y. He, J. W. Hutchinson, and A. G. Evans, Simulation of stresses and delamination in a plasma-sprayed thermal barrier system upon thermal cycling, Mater. Sci. Eng, vol.345, pp.172-178, 2003.

T. Hirsch and P. Mayr, Residual stresses and residual stress distributions in TiCN-and TiN-coated steels, Surf. Coat. Technol, vol.36, issue.3-4, pp.729-741, 1988.

S. C. Kung, High-temperature coating for titanium aluminides using the pack-cementation technique, Oxid. Met, vol.34, issue.3-4, pp.217-228, 1990.

S. Le-roux, F. Medjedoub, G. Dour, and F. Rézaï-aria, Role of heat-flux density and mechanical loading on the microscopic heat-checking of high temperature tool steels under thermal fatigue experiments, Int. J. Fatigue, vol.51, pp.15-25, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01666697

S. Le-roux, F. Medjedoub, G. Dour, and F. Rézaï-aria, Image analysis of microscopic crack patterns applied to thermal fatigue heatchecking of high temperature tool steels, Micron, vol.44, pp.347-358, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01687308

F. T. Lewis, The correlation between cell division and the shapes and sizes of prismatic cells in the epidermis of Cucumis, Anatomical Record, vol.38, issue.3, pp.341-376, 1928.

F. T. Lewis, A comparison between the mosaic of polygons in a film of artificial emulsion and the pattern of simple epithelium in surface view (cucumber epidermis and human amnion), Anatomical Record, vol.50, issue.3, pp.235-265, 1931.

A. P. Mcguigan, G. A. Briggs, V. M. Burlakov, M. Yanka, and Y. Tsukahara, An elastic-plastic shear lag model for fracture of layered coatings, Thin Solid Films, vol.424, issue.2, pp.219-223, 2003.

F. Medjedoub, Détermination des paramètres influant sur le phénomène d'endommagement par fatigue thermique des moules en fonderie sous pression d'aluminium, 2004.

B. Miquel, S. Jean, S. Le-roux, P. Lamesle, and F. Rézaï-aria, Heatchecking of hot work tool steels, Proceedings of the 9th International Conference on Temperature-Fatigue Interaction, pp.185-193, 2002.
DOI : 10.1016/s1566-1369(02)80075-9

URL : https://hal.archives-ouvertes.fr/hal-01796853

R. A. Miller, Oxidation-based model for thermal barrier coating life, J. Am. Ceram. Soc, vol.67, issue.8, pp.517-521, 1984.

K. Nakasa, S. Takata, and H. Ichigo, An analysis of island-delamination type cracking pattern in the brittle film coated on a disk under axisymmetric tension, Eng. Fract. Mech, vol.59, pp.191-202, 1998.

A. Persson, S. Hogmark, and J. Bergström, Thermal fatigue cracking of surface engineered hot work tool steels, Surf. Coat. Technol, vol.191, pp.216-227, 2005.
DOI : 10.1016/j.surfcoat.2004.04.053

M. Salem, V. Velay, M. Cheikh, G. Dour, P. Lamesle et al., Fatigue life modelling of hot work forming tools, Proceedings of the 8th International Tooling Conference-Tool, vol.I, pp.455-464, 2009.

M. Schütze, An approach to a global model of the mechanical behaviour of oxide scales, Mater. High Temp, vol.12, issue.2-3, pp.237-247, 1994.

A. Srivastava, V. Joshi, and R. Shivpuri, Computer modeling and prediction of thermal fatigue cracking in die-casting tooling, Wear, vol.256, pp.38-43, 2004.

V. Teixeira, Mechanical integrity in PVD coatings due to the presence of residual stresses, Thin Solid Films, vol.392, issue.2, pp.276-281, 2001.

D. Weaire, Some remarks on the arrangement of grains in a polycrystal, Metallography, vol.7, issue.2, pp.147-160, 1974.

C. Xie and W. Tong, Cracking and decohesion of a thin Al 2 O 3 film on a ductile Al-5%Mg substrate, Acta Mater, vol.53, pp.477-485, 2005.