M. D. Dupouy, B. Drevet, and D. , Influence of convection on the selection of solidification microstructures at low growth rates, Journal of Crystal Growth, vol.181, issue.1-2, pp.145-159, 1997.
DOI : 10.1016/S0022-0248(97)00191-7

H. Nguyen-thi, G. Reinhart, B. Zhou, B. Billia, Q. Liu et al., Tailoring of dendritic microstructure in solidification processing by crucible vibration, Journal of Crystal Growth, vol.275, issue.1-2, pp.1579-1584, 2005.
DOI : 10.1016/j.jcrysgro.2004.11.223

S. Davis, Hydrodynamic interactions in directional solidification, Journal of Fluid Mechanics, vol.30, issue.-1, pp.241-262, 1990.
DOI : 10.1016/0022-0248(68)90224-8

B. Caroli, Solutal convection and morphological instability in directional solidification of binary alloys. - II. Effect of the density difference between the two phases, Journal de Physique, vol.46, issue.10, p.1657, 1985.
DOI : 10.1051/jphys:0198500460100165700

URL : https://hal.archives-ouvertes.fr/jpa-00209979

H. Nguyen-thi, B. Billia, and L. Capella, Cellular arrays during upward solidification of Pb-30 wt% T1 alloys, Journal de Physique, vol.51, issue.7, pp.625-637, 1990.
DOI : 10.1051/jphys:01990005107062500

URL : https://hal.archives-ouvertes.fr/jpa-00212394

B. Billia, Solidification Cellulaire d'Alliages Pb-Tl Lors de l'Expérience D1-WL- GHF-02, Proc. 6th European Symposium on Material Sciences under Microgravity

T. Okamoto, K. Kishitake, and I. Bessho, Dendritic structure in unidirectionally solidified cyclohexanol, Journal of Crystal Growth, vol.29, issue.2, p.131, 1975.
DOI : 10.1016/0022-0248(75)90216-X

B. Appolaire, V. Albert, H. Combeau, and G. Lesoult, Experimental Study of Free Growth of Equiaxed NH4Cl Crystals Settling in Undercooled NH4Cl-H2O Melts., ISIJ International, vol.39, issue.3, p.263, 1999.
DOI : 10.2355/isijinternational.39.263

M. H. Burden, D. J. Hebditch, and J. D. Hunt, Macroscopic stability of a planar, cellular or dendritic interface during directional freezing, Journal of Crystal Growth, vol.20, issue.2, p.121, 1973.
DOI : 10.1016/0022-0248(73)90125-5

K. A. Jackson, Liquid Metals and Solidification, American Society for Metals, p.174, 1958.

W. Hillig and D. Turnbull, Theory of Crystal Growth in Undercooled Pure Liquids, The Journal of Chemical Physics, vol.24, issue.4, p.914, 1956.
DOI : 10.1063/1.1742646

W. A. Tiller, The science of Crystallization : Microscopic Interfacial Phenomena, 1991.
DOI : 10.1017/CBO9780511623158

L. D. Landau and E. Lifshitz, Statistical physics, 1980.

J. S. Langer, Lectures in the theory of pattern formation dans Chance and Matter., Ecole d'été Les Houches, 1986.

E. Ben-jacob and P. Garik, The formation of patterns in non-equilibrium growth, Nature, vol.343, issue.6258, p.523, 1990.
DOI : 10.1038/343523a0

S. Akamatsu and T. Ihle, Similarity law for the tilt angle of dendrites in directional solidification of non-axially-oriented crystals, Physical Review E, vol.56, issue.4, pp.4479-4485, 1997.
DOI : 10.1103/PhysRevE.56.4479

S. Akamatsu, G. Faivre, and T. Ihle, Symmetry-broken double fingers and seaweed patterns in thin-film directional solidification of a nonfaceted cubic crystal, Physical Review E, vol.51, issue.5, pp.4751-4773, 1995.
DOI : 10.1103/PhysRevE.51.4751

URL : https://hal.archives-ouvertes.fr/hal-00002632

T. Okada and Y. Saito, Simulation of unidirectional solidification with a tilted crystalline axis, Physical Review E, vol.54, issue.1, p.650, 1996.
DOI : 10.1103/PhysRevE.54.650

S. Akamatsu and G. Faivre, Anisotropy-driven dynamics of cellular fronts in directional solidification in thin samples, Physical Review E, vol.58, issue.3, pp.3302-3315, 1998.
DOI : 10.1103/PhysRevE.58.3302

T. Sato, W. Kurz, and K. , Experiments on Dendrite Branch Detachment in the Succinonitrile-Camphor Alloy, Transactions of the Japan Institute of Metals, vol.28, issue.12, p.1012, 1987.
DOI : 10.2320/matertrans1960.28.1012

J. P. Gu, C. Beckermann, and A. F. Giamei, Motion and remelting of dendrite fragments during directional solidification of a nickel-base superalloy, Metallurgical and Materials Transactions A, vol.21, issue.7, p.1533, 1997.
DOI : 10.1007/s11661-997-0215-2

M. Rappaz, . Ch, R. Charbon, and . Sasikumar, About the shape of eutectic grains solidifying in a thermal gradient, Acta Metallurgica et Materialia, vol.42, issue.7, pp.2365-2374, 1994.
DOI : 10.1016/0956-7151(94)90314-X

C. Gandin and M. Rappaz, A coupled finite element-cellular automaton model for the prediction of dendritic grain structures in solidification processes, Acta Metallurgica et Materialia, vol.42, issue.7, p.2233, 1994.
DOI : 10.1016/0956-7151(94)90302-6

J. Lipton, M. E. Glicksman, and W. Kurz, Dendritic growth into undercooled alloy metals, Materials Science and Engineering, vol.65, issue.1, pp.57-63, 1984.
DOI : 10.1016/0025-5416(84)90199-X

C. Gandin, Experimental Study of the Transition from Constrained to Unconstrained Growth during Directional Solidification., ISIJ International, vol.40, issue.10, p.971, 2000.
DOI : 10.2355/isijinternational.40.971

W. A. Tiller, Migration of a Liquid Zone through a Solid: Part I, Journal of Applied Physics, vol.34, issue.9, p.2757, 1963.
DOI : 10.1063/1.1729806

S. Akamatsu and G. Faivre, Anisotropy-driven dynamics of cellular fronts in directional solidification in thin samples, Physical Review E, vol.58, issue.3, pp.3302-3315, 1998.
DOI : 10.1103/PhysRevE.58.3302

J. Warren and J. S. Langer, Prediction of dendritic spacings in a directional-solidification experiment, Physical Review E, vol.47, issue.4, pp.2702-2712, 1993.
DOI : 10.1103/PhysRevE.47.2702

W. A. Tiller, The redistribution of solute atoms during the solidification of metals, Acta Metallurgica, vol.1, issue.4, p.428, 1953.
DOI : 10.1016/0001-6160(53)90126-6

K. Somboonsuk and R. Trivedi, Dynamical studies of dendritic growth, Acta Metallurgica, vol.33, issue.6, pp.1051-1066, 1985.
DOI : 10.1016/0001-6160(85)90198-1

Q. Li and C. Beckermann, Evolution of the sidebranch structure in free dendritic growth, Acta Materialia, vol.47, issue.8, pp.2345-2356, 1999.
DOI : 10.1016/S1359-6454(99)00115-9

W. Kurz and D. J. Fisher, Fundamentals of Solidification 4 th revised edition, 1998.

M. H. Burden, D. J. Hebditch, and J. D. Hunt, Macroscopic stability of a planar, cellular or dendritic interface during directional freezing, Journal of Crystal Growth, vol.20, issue.2, pp.121-124, 1973.
DOI : 10.1016/0022-0248(73)90125-5

H. Yasuda, I. Ohnaka, K. Kawasaki, A. Sugiyama, T. Ohmichi et al., Direct observation of stray crystal formation in unidirectional solidification of Sn???Bi alloy by X-ray imaging, Journal of Crystal Growth, vol.262, issue.1-4, pp.645-652, 2004.
DOI : 10.1016/j.jcrysgro.2003.09.052

T. Matsumiya, W. Yamada, T. Ohashi, and O. Nittono, In situ observation of solidification of silicon steel by synchrotron radiation X-ray topography, Metallurgical and Materials Transactions A, vol.227, issue.4, p.723, 1987.
DOI : 10.1016/0168-9002(84)90219-5

G. Grange, C. Jourdan, J. Gastaldi, and B. Billia, Stresses and defects in the formation of a cellular pattern in directional solidification. Real-time observation by synchrotron X-ray topography on a Al-0.73 wt% Cu alloy, Journal de Physique III, vol.4, issue.2, pp.293-304, 1994.
DOI : 10.1051/jp3:1994130

URL : https://hal.archives-ouvertes.fr/jpa-00249103

W. Bardsley, J. B. Mullin, and D. T. Hurle, The Solidification of Metals (The Iron and, p.93, 1968.

N. Siredey, M. Boufoussi, S. Denis, and J. Lacaze, Dendritic growth and crystalline quality of nickel-base single grains, Journal of Crystal Growth, vol.130, issue.1-2, pp.132-146, 1993.
DOI : 10.1016/0022-0248(93)90845-N

J. Martin and A. George, Caractérisation expérimentale des matériaux, Presses Polytechniques et Universitaires Romanes, 1998.

R. H. Mathiesen and L. Arnberg, X-ray radiography observations of columnar dendritic growth and constitutional undercooling in an Al???30wt%Cu alloy, Acta Materialia, vol.53, issue.4, pp.947-956, 2005.
DOI : 10.1016/j.actamat.2004.10.050

M. H. Burden and J. D. Hunt, Cellular and dendritic growth. II, Journal of Crystal Growth, vol.22, issue.2, pp.109-116, 1974.
DOI : 10.1016/0022-0248(74)90127-4

A. L. Greer, A. M. Bunn, A. Tronche, P. V. Evans, and D. J. Bristow, Modelling of inoculation of metallic melts: application to grain refinement of aluminium by Al???Ti???B, Acta Materialia, vol.48, issue.11, pp.2823-2835, 2000.
DOI : 10.1016/S1359-6454(00)00094-X

M. A. Martorano, C. Beckerman, C. Gandin, and . Metall, A solutal interaction mechanism for the columnar-to-equiaxed transition in alloy solidification, Metallurgical and Materials Transactions A, vol.24, issue.8, pp.1657-1674, 2003.
DOI : 10.1007/s11661-003-0311-x

M. Rappaz, . Ch, R. Charbon, and . Sasikumar, About the shape of eutectic grains solidifying in a thermal gradient, Acta Metallurgica et Materialia, vol.42, issue.7, pp.2365-2374, 1994.
DOI : 10.1016/0956-7151(94)90314-X

S. Liu, S. Z. Lu, and A. , Dendritic array growth in the systems NH4Cl???H2O and [CH2 CN]2???H2O: the detachment of dendrite side arms induced by deceleration, Journal of Crystal Growth, vol.234, issue.4, pp.740-750, 2002.
DOI : 10.1016/S0022-0248(01)01680-3

D. Shechtman, I. Blech, J. W. Cahn, and D. Gratias, Metallic Phase with Long-Range Orientational Order and No Translational Symmetry, Physical Review Letters, vol.53, issue.20, pp.1951-1953, 1984.
DOI : 10.1103/PhysRevLett.53.1951

R. Penrose, The bulletin of the institue of mathematics and its application 10, 1974.

D. Levine and P. J. Steinhardt, Quasicrystals: A New Class of Ordered Structures, Physical Review Letters, vol.53, issue.26, pp.2477-2480, 1984.
DOI : 10.1103/PhysRevLett.53.2477

D. Levine and P. J. Steinhardt, Quasicrystals. I. Definition and structure, Physical Review B, vol.34, issue.2, pp.596-616, 1986.
DOI : 10.1103/PhysRevB.34.596

URL : https://hal.archives-ouvertes.fr/jpa-00225203

J. Cahn, D. Shechtman, and D. Gratias, Indexing of icosahedral quasiperiodic crystals, Journal of Materials Research, vol.16, issue.01, p.13, 1986.
DOI : 10.1103/PhysRevLett.55.1461

W. Kurz and D. J. Fisher, Fundamentals of Solidification 4 th revised edition, 1998.

W. A. Tiller, The science of Crystallization : Microscopic Interfacial Phenomena, 1991.
DOI : 10.1017/CBO9780511623158

B. Caroli, C. Caroli, and L. Ramirez-piscina, Initial front transients in directional solidification of thin samples of dilute alloys, Journal of Crystal Growth, vol.132, issue.3-4, pp.377-388, 1993.
DOI : 10.1016/0022-0248(93)90062-2

C. Dong, J. M. Dubois, M. De-boissieu, M. Boudard, and C. Janot, Growth of stable Al???Pd???Mn icosahedral phase, Journal of Materials Research, vol.47, issue.12, pp.2637-2645, 1991.
DOI : 10.1103/PhysRevLett.53.1951

O. Dovbenko, T. Velikanova, and S. Balanetskyy, Al-Mn-Pd in Landolt-Bornstein ? Group IV Physical Chemistry, 2005.

H. Tanaka, Roles of local icosahedral chemical ordering in glass and quasicrystal formation in metallic glass formers, Journal of Physics: Condensed Matter, vol.15, issue.31, p.491, 2003.
DOI : 10.1088/0953-8984/15/31/102

K. Sato, F. Baier, A. A. Rempel, W. Sprengel, and H. Schaefer, quasicrystals, Physical Review B, vol.68, issue.21, p.214203, 2003.
DOI : 10.1103/PhysRevB.68.214203