F. Sur-la, A -sur la réflexion 200 alors qu'on discerne plus difficilement (intensité plus faible) deux franges noires -distribution spatiale A'/B'/A'-sur la réflexion 220. Les valeurs desépaisseurs desépaisseurs calculées sont approximativement 40, 143 et 247 µm pour les trois premiers maxima de la réflexion 200 et 51 et 185 µm pour les deux premiers maxima de la réflexion 220. Ces valeurs sont en accord avec les dimensions de l'´ echantillon

L. Fig, 8.7 montre une vue en projection de la dendrite le long de son axe de croissance, la Fig

. Fig, 6 ? Al-7.0wt%Si. Positions des sections virtuelles choisies pour la reconstruction des sections transverses de la dendrite

. Dans-le-cas-de-l, alliage Al-3.5wt%Ni, deux dendrites (d1 et d2) ontétéétudiéesontétéontétéétudiées. Nous allons montrer que -bien qu'appartenantàappartenantà la même microstructure -ces dendrites illustrent deux types de croissance différents : croissance dans un environnement " confiné " et croissance " libre

. Al-3, 5wt%Ni-d1 Six sections transverses (Fig. 8.9) ontétéontété reconstruitesàreconstruitesà partir des positions et intensités des franges noires/blanches et des valeurs calculées pour lesépaisseurslesépaisseurs

. Cependant, est pas isolée et sa croissance est visiblement confinée par les dendrites voisines (Fig. 8.3) Ce " confinement " est probablementàprobablementà l'origine de la légère asymétrie observée dans le plan de l'´ echantillon. La symétrie miroir par rapport au plan (100) n'´ etant plus concevable

. Comme-la-dendrite-est-un-objet-fini, dérivée, 3. valeur absolue et 4. intégrale) dans le sens opposé (i.e. en partant de l'autre bord de la dendrite) pour finalement considérer le minimum des deux intégrales obtenues, on effectue les mêmes opérations

Y. Dabo, S. R. Nguyen-thi, G. B. Coriell, Q. Mcfadden, B. Li et al., Microsegregation in Peltier interface demarcation, Journal of Crystal Growth, vol.216, issue.1-4, pp.483-494, 2000.
DOI : 10.1016/S0022-0248(00)00458-9

R. H. Mathiesen, L. Arnberg, K. Ramsoskar, T. Weitkamp, C. Rau et al., Time-resolved x-ray imaging of aluminum alloy solidification processes, Metallurgical and Materials Transactions B, vol.83, issue.4
DOI : 10.1007/s11663-002-0041-2

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

R. H. Mathiesen, L. Arnberg, F. Mo, T. Weitkamp, and A. Snigirev, Time Resolved X-Ray Imaging of Dendritic Growth in Binary Alloys, Physical Review Letters, vol.83, issue.24, pp.5062-5065, 1999.
DOI : 10.1103/PhysRevLett.83.5062

H. Nguyen-thi, H. Jamgotchian, J. Gastaldi, J. Härtwig, T. Schenk et al., Preliminary in situ and real-time study of directional solidification of metallic alloys by x-ray imaging techniques, J. Phys. D : Appl. Phys, vol.36, pp.83-86, 2003.

G. Reinhart, N. Mangelink-noël, H. Nguyen-thi, T. Schenk, J. Gastaldi et al., Investigation of columnar???equiaxed transition and equiaxed growth of aluminium based alloys by X-ray radiography, Materials Science and Engineering: A, vol.413, issue.414, pp.413-414384, 2005.
DOI : 10.1016/j.msea.2005.08.197

URL : https://hal.archives-ouvertes.fr/hal-00016030

A. Buffet, G. Reinhart, T. Schenk, H. Nguyen-thi, J. Gastaldi et al., Real-time and in situ solidification of Al-based alloys investigated by synchrotron radiation : a unique experimental set-up combining radiography and topography techniques, Physica status solidi, pp.2721-2727, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00193597

B. Li, H. D. Brody, H. E. Burdette, and C. Rau, Real time observation of dendritic solidification in alloys by synchrotron microradiography, Journal of Physics D: Applied Physics, vol.39, issue.20, pp.4450-4456, 2006.
DOI : 10.1088/0022-3727/39/20/023

H. Yasuda, I. Ohnaka, A. Sugiyama, T. Nagira, N. Tsukihara et al., Time-resolved imaging of the microstructure evolution during dendritic solidification by using synchrotron radiation, Modeling of casting, welding and advanced solidification processes -XI, TMS, pp.375-382, 2006.

J. Chikawa, Technique for the video display of X-ray topographic images and its application to the study of crystal growth, Journal of Crystal Growth, vol.24, issue.25, pp.61-68, 1974.
DOI : 10.1016/0022-0248(74)90281-4

O. Nittomo, T. Ogawa, and S. K. Gong, Observation on Melt Growth Process of Tin Crystal by Means of Synchrotron X-Ray Topography, Japanese Journal of Applied Physics, vol.23, issue.Part 2, No. 8, pp.581-583, 1984.
DOI : 10.1143/JJAP.23.L581

G. Grange, C. Jourdan, A. L. Coulet, and J. Gastaldi, Observation of the melting-solidification processes of an Al crystal by synchrotron X-ray topography, Journal of Crystal Growth, vol.72, issue.3, pp.748-752, 1985.
DOI : 10.1016/0022-0248(85)90233-7

T. Kobayashi and T. Imura, In Situ Heating Device for Real Time X-Ray Topography on Crystal Growth from the Melt, Japanese Journal of Applied Physics, vol.23, issue.Part 2, No. 8, pp.632-634, 1984.
DOI : 10.1143/JJAP.23.L632

T. Kobayashi, N. Kawabe, and T. Imura, Observational Study on the Dendritie Growth of Al???Mg Single Crystals by Real-Time X-Ray Topography, Japanese Journal of Applied Physics, vol.26, issue.Part 1, No. 11, pp.1823-1829, 1987.
DOI : 10.1143/JJAP.26.1823

G. Grange, J. Gastaldi, C. Jourdan, P. Marzo, and B. Billia, In situ observations by synchrotron white beam X-ray topography of the solidification microstructures of an Al-0.73 wt% Cu alloy, Journal of Crystal Growth, vol.121, issue.3, pp.315-321, 1992.
DOI : 10.1016/0022-0248(92)90141-5

H. Yin and J. N. Koster, Chemical stratification and solidification in a differentially heated melt, Journal of Alloys and Compounds, vol.352, issue.1-2, 2003.
DOI : 10.1016/S0925-8388(02)01126-X

P. Cloetens, R. Barrett, J. Baruchel, J. P. Guigay, and M. Schlenker, Phase objects in synchrotron radiation hard x-ray imaging, Journal of Physics D: Applied Physics, vol.29, issue.1, p.133, 1996.
DOI : 10.1088/0022-3727/29/1/023

J. Baruchel, P. Bleuet, A. Bravin, P. Coan, E. Lima et al., Advances in synchrotron hard X-ray based imaging, Comptes Rendus Physique, vol.9, issue.5-6, pp.624-641, 2008.
DOI : 10.1016/j.crhy.2007.08.003

URL : https://hal.archives-ouvertes.fr/hal-00433982

H. Klapper, X-Ray Topography of Organic Crystals, pp.111-162, 1991.
DOI : 10.1007/978-3-642-76253-6_3

A. Authier, X-ray and Neutron Dynamical Diffraction -Theory and Applications, NATO ASI Series, pp.1-32, 1996.

N. Kato, A theoretical study of pendellösung fringes. I. general considerations

D. K. Bowen and B. K. Tanner, High resolution X-ray diffractometry and topography, pp.69-105, 1998.

W. H. Zachariasen, The Theory of X-ray Diffraction in Crystals., The Journal of Physical Chemistry, vol.50, issue.3, pp.82-155, 1965.
DOI : 10.1021/j150447a024

S. Takagi, Dynamical theory of diffraction applicable to crystals with any kind of small distortion, Acta Crystallographica, vol.15, issue.12, p.1311, 1962.
DOI : 10.1107/S0365110X62003473

B. K. Tanner, X-ray diffraction topography, 1976.

B. K. Tanner, X-ray and Neutron Dynamical Diffraction -Theory and Applications, NATO ASI Series, pp.147-166, 1996.

A. Authier, Contrast of dislocation images in x-ray transmission topographs, Adv. X-ray Anal, vol.10, p.9, 1967.

H. Klapper, X-ray topography of twinned crystals. Crystal growth and characterization, 1987.

B. Billia and R. Trivedi, Handbook of crystal growth Pattern formation in crystal growth, 1993.

W. W. Mullins and R. F. Sekerka, Stability of a Planar Interface During Solidification of a Dilute Binary Alloy, Journal of Applied Physics, vol.35, issue.2, pp.444-451, 1964.
DOI : 10.1063/1.1713333

J. W. Rutter and B. Chalmers, A prismatic substructure formed during solidification of metals. Canad, J. Phys, vol.31, pp.15-39, 1953.

W. A. Tiller, K. A. Jackson, J. W. Rutter, and B. Chalmers, The redistribution of solute atoms during the solidification of metals, Acta Metallurgica, vol.1, issue.4, pp.428-437, 1953.
DOI : 10.1016/0001-6160(53)90126-6

R. F. Sekerka, A Stability Function for Explicit Evaluation of the Mullins???Sekerka Interface Stability Criterion, Journal of Applied Physics, vol.36, issue.1, pp.264-268, 1965.
DOI : 10.1063/1.1713887

M. D. Dupouy, B. Drevet, and J. Camel, 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

B. Drevet, H. Nguyen-thi, D. Camel, B. Billia, and M. D. Dupouy, Solidification of aluminium???lithium alloys near the cell/dendrite transition-influence of solutal convection, Journal of Crystal Growth, vol.218, issue.2-4, pp.419-433, 2000.
DOI : 10.1016/S0022-0248(00)00567-4

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, H. Jamgotchian, J. J. Favier, and D. Camel, Solidification cellulaire d'alliages Pb-Tl lors de l'expérience D1-WL-GHF-02, Proc. 6th European Symposium on Material Sciences under microgravity conditions, pp.2-5, 1986.

T. Okamoto and K. Kishitake, Dendritic structure in unidirectionally solidified cyclohexanol, Journal of Crystal Growth, vol.29, issue.2, pp.131-136, 1975.
DOI : 10.1016/0022-0248(75)90216-X

H. Nguyen-thi, B. Billia, and H. Jamgotchian, Influence of thermosolutal convection on the solidification front during upwards solidification, J. Fluid Mech, vol.204, pp.581-597, 1989.

N. Mangelinck-noël, H. Jamgotchian, and B. Billia, In situ and real-time observation of the formation and dynamics of a cellular interface in a succinonitrile-0.5 wt% acetone alloy directionally solidified in a cylinder, Journal of Crystal Growth, vol.181, issue.1-2, pp.117-132, 1997.
DOI : 10.1016/S0022-0248(97)00274-1

M. D. Dupouy, D. Camel, and J. J. Favier, Natural convection in directional dendritic solidification of metallic alloys???I. Macroscopic effects, Acta Metallurgica, vol.37, issue.4, pp.1143-1157, 1989.
DOI : 10.1016/0001-6160(89)90110-7

R. Trivedi and P. Mazumder, The effect of convection on disorder in primary cellular and dendritic arrays, Metallurgical and Materials Transactions A, vol.61, issue.3, pp.3763-3775, 2002.
DOI : 10.1007/s11661-002-0249-4

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

K. A. Jackson, Constitutional supercooling surface roughening, Journal of Crystal Growth, vol.264, issue.4, pp.519-529, 2004.
DOI : 10.1016/j.jcrysgro.2003.12.074

J. Labiche, O. Mathon, S. Pascarelli, M. A. Newton, G. Guilera-ferre et al., The fast readout low noise camera as a versatile xray detector for time resolved dispersive extended x-ray absorption fine structure and diffraction studies of dynamic problems in materials science, chemistry, and catalysis, Review of scientific instruments, p.78, 2007.

H. Nguyen-thi, B. Brevet, J. M. Debierre, D. Camel, Y. Dabo et al., Preparation of the initial solid???liquid interface and melt in directional solidification, Journal of Crystal Growth, vol.253, issue.1-4, pp.539-548, 2003.
DOI : 10.1016/S0022-0248(03)01041-8

G. Reinhart, Dynamique de formation de la microstructure de solidification d'alliages métalliques : caractérisation par imagerie X synchrotron, 2006.

W. G. Pfann and R. S. Wagner, Thermal gradient zone melting, Transactions AIME, Journals of metals, vol.224, pp.961-964, 1955.
DOI : 10.1007/bf03377594

H. Nguyen-thi, G. Reinhart, A. Buffet, T. Schenk, N. Mangelinck-noël et al., In situ and real-time analysis of TGZM phenomena by synchrotron X-ray radiography, Journal of Crystal Growth, vol.310, issue.11, pp.2906-2914, 2008.
DOI : 10.1016/j.jcrysgro.2008.01.041

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

D. J. Allen and J. D. Hunt, Temperature gradient zone melting and microsegregation in castings, solidification and casting of metals, Proceeding of Int. Conf. on Solidification, pp.39-43, 1977.

Y. Dabo, Dynamique de formation de réseaux cellulaires en solidification dirigée d'alliages binaires, d'´ economie et des sciences d, 2001.

M. Chen and T. Z. Kattamis, Dendrite coarsening during directional solidification of Al???Cu???Mn alloys, Materials Science and Engineering: A, vol.247, issue.1-2, pp.239-247, 1998.
DOI : 10.1016/S0921-5093(97)00720-X

P. D. Grasso, J. M. Drezet, and M. Rappaz, Hot tear formation and coalescence observations in organic alloys, 2002.

W. J. Boettinger, J. A. Warren, and C. Beckermann, Phase-Field Simulation of Solidification, Annual Review of Materials Research, vol.32, issue.1, pp.163-194, 2002.
DOI : 10.1146/annurev.matsci.32.101901.155803

M. Rappaz, A. Jacot, and W. J. Boettinger, Last-stage solidification of alloys: Theoretical model of dendrite-arm and grain coalescence, Metallurgical and Materials Transactions A, vol.60, issue.3, pp.467-479, 2003.
DOI : 10.1007/s11661-003-0083-3

N. Limodin, E. Boller, L. Salvo, M. Suéry, and M. Dimichiel, In-situ fast x-ray tomography in investigation of microstructural changes occuring during partial remelting and solidification of Al-Cu alloys, Proceedings of the 5th Decennial International Conference on Solidification Processing, pp.316-320, 2007.

R. M. Sharp and A. Hellawell, The microscopy and composition of quenched solid-liquid interfaces, Journal of Crystal Growth, vol.5, issue.3, pp.155-161, 1969.
DOI : 10.1016/0022-0248(69)90001-3

R. M. Sharp and A. Hellawell, Solute distributions at non-planar, solid-liquid growth fronts, Journal of Crystal Growth, vol.6, issue.3, pp.253-260, 1970.
DOI : 10.1016/0022-0248(70)90076-X

R. M. Sharp and A. Hellawell, Solute distributions at non-planar, solid-liquid growth fronts, Journal of Crystal Growth, vol.6, issue.4, pp.334-340, 1970.
DOI : 10.1016/0022-0248(70)90093-X

W. Losert, B. Q. Shi, and H. Z. Cummins, Evolution of dendritic patterns during alloy solidification: Onset of the initial instability, Proc. Nat. Acad. Sci, pp.431-438, 1998.
DOI : 10.1073/pnas.95.2.431

W. Losert, B. Q. Shi, and H. Z. Cummins, Evolution of dendritic patterns during alloy solidification: From the initial instability to the steady state, Proc. Nat
DOI : 10.1073/pnas.95.2.439

H. Yin and J. N. Koster, In situ observation of concentrational stratification and solid???liquid interface morphology during Ga???5% In alloy melt solidification, Journal of Crystal Growth, vol.205, issue.4, 1999.
DOI : 10.1016/S0022-0248(99)00262-6

S. Boden, B. Willers, S. Eckert, and G. Gerbeth, Visualisation of the concentration distribution and the flow field in solidifying metallic melts by means of x-ray radioscopy, Proceedings of the 5th Decennial International Conference on Solidification Processing, pp.311-315, 2007.

J. H. Lee, H. Miyahara, and R. Trivedi, Diffusion-coefficient measurements in liquid metallic alloys, Metallurgical and Materials Transactions B, vol.169, issue.5, pp.909-917, 2004.
DOI : 10.1007/s11663-004-0085-6

J. A. 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. Huang, Q. Wei, and Y. Zhou, Non-steady state solute redistribution during the transient process of alloy solidification, Journal of Crystal Growth, vol.100, pp.26-30, 1990.

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

M. Gündüz and E. , Directional solidification of aluminium???copper alloys, Materials Science and Engineering: A, vol.327, issue.2, pp.167-185, 2002.
DOI : 10.1016/S0921-5093(01)01649-5

A. Buffet, B. Billia, H. Nguyen-thi, G. Reinhart, T. Schenk et al., Three-dimensional investigation of Al-based dendrites using x-ray Bragg diffraction images recorded during the solidification process

G. Grange, J. Gastaldi, C. Jourdan, and B. Billia, Evolution of characteristic pattern parameters in directional solidification of thin samples of a dilute Al???Cu alloy, Journal of Crystal Growth, vol.151, issue.1-2, 1995.
DOI : 10.1016/0022-0248(95)00030-5

N. Mangelinck-noël, H. Nguyen-thi, G. Reinhart, T. Schenk, V. Cristiglio et al., analysis of equiaxed growth of aluminium???nickel alloys by x-ray radiography at ESRF, Journal of Physics D: Applied Physics, vol.38, issue.10A, pp.28-32, 2005.
DOI : 10.1088/0022-3727/38/10A/006

E. Brener, Needle-crystal solution in three-dimensional dendritic growth, Physical Review Letters, vol.71, issue.22, pp.3653-3656, 1993.
DOI : 10.1103/PhysRevLett.71.3653

U. Bisang and J. H. Bilgram, Shape of the tip and the formation of sidebranches of xenon dendrites, Physical Review E, vol.54, issue.5, pp.5309-5326, 1996.
DOI : 10.1103/PhysRevE.54.5309

O. Wittwer and J. H. Bilgram, Three-dimensional xenon dendrites: Characterization of sidebranch growth, Physical Review E, vol.74, issue.4, p.41604, 2006.
DOI : 10.1103/PhysRevE.74.041604

D. Temkin, Ivantsov parabolic solution for two combined moving interfaces, Acta Materialia, vol.53, issue.9, pp.2733-2738, 2005.
DOI : 10.1016/j.actamat.2005.02.038

M. E. Glicksman, Crystal Growth -from Fundamentals to Technology, pp.115-141, 2004.

H. M. Singer and J. H. Bilgram, Generalized length scales for three-dimensional dendritic growth, Physical Review E, vol.69, issue.3, p.32601, 2004.
DOI : 10.1103/PhysRevE.69.032601

P. G. Saffman and G. I. Taylor, The Penetration of a Fluid into a Porous Medium or Hele-Shaw Cell Containing a More Viscous Liquid, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.245, issue.1242, pp.312-329, 1958.
DOI : 10.1098/rspa.1958.0085

N. Bergeon, R. Trivedi, B. Billia, B. Echebarria, A. Karma et al., Necessity of investigating microstructure formation during directional solidification of transparent alloys in 3D, Advances in Space Research, vol.36, issue.1, pp.80-85, 2005.
DOI : 10.1016/j.asr.2005.02.092

E. Hürlimann, R. Trittibach, U. Bisang, and J. H. Bilgram, Integral parameters of xenon dendrites, Physical Review A, vol.46, issue.10, pp.6579-6595, 1992.
DOI : 10.1103/PhysRevA.46.6579

E. Blank, W. Kurz, and M. Rappaz, Dendritic single crystals : Microstructure and deformation behaviour, Helvetica Physica Acta, vol.58, pp.469-483, 1985.

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

G. Reinhart, A. Buffet, H. Nguyen-thi, B. Billia, H. Jung et al., In-Situ and Real-Time Analysis of the Formation of Strains and Microstructure Defects during Solidification of Al-3.5??Wt Pct Ni Alloys, Metallurgical and Materials Transactions A, vol.5, issue.25, pp.865-873, 2008.
DOI : 10.1007/s11661-007-9449-2

B. Billia, N. Bergeon, H. Nguyen-thi, H. Jamgotchian, J. Gastaldi et al., Cumulative Mechanical Moments and Microstructure Deformation Induced by Growth Shape in Columnar Solidification, Physical Review Letters, vol.93, issue.12, p.93126105, 2004.
DOI : 10.1103/PhysRevLett.93.126105

J. Pilling and A. Hellawell, Mechanical deformation of dendrites by fluid flow, Metallurgical and Materials Transactions A, vol.34, issue.1, pp.229-232, 1996.
DOI : 10.1007/BF02647763

M. F. Ashby, A first report on deformation-mechanism maps, Acta Metallurgica, vol.20, issue.7, pp.887-897, 1972.
DOI : 10.1016/0001-6160(72)90082-X

A. Guinier, Théorie et technique de la radiocristallographie, pp.327-328, 1964.

D. A. Koss and S. M. Copley, Thermally induced residual stresses in eutectic composites, Metall. Trans, vol.2, pp.1557-1560, 1971.

K. Wakashima, T. Kawakubo, and S. Umekawa, The effect of thermal history on the axial tensile behavior of an aligned fiber composite, Metallurgical Transactions A, vol.5, issue.9, pp.1755-1760, 1975.
DOI : 10.1007/BF02642304

G. Garmong, Elastic-plastic analysis of deformation induced by thermal stress in eutectic composites: II. thermal Expansion, Metallurgical Transactions, vol.62, issue.10, pp.2191-2197, 1974.
DOI : 10.1007/BF02643933

A. Guinier and J. Tennevin, Sur deux variantes de la m??thode de Laue et leurs applications, Acta Crystallographica, vol.2, issue.3, pp.133-138, 1949.
DOI : 10.1107/S0365110X49000370

W. Kurz and D. J. Fischer, Fundamentals of solidification 4th revised edition, Trans Tech publications ltd, p.46, 1998.

P. Magnin and W. Kurz, An analytical model of irregular eutectic growth and its application to Fe-C, Acta Metallurgica, vol.35, issue.5, p.1119, 1987.
DOI : 10.1016/0001-6160(87)90059-9

S. Mc-fadden, D. J. Browne, and J. Banaszek, Prediction of the Formation of an Equiaxed Zone Ahead of a Columnar Front in Binary Alloy Castings: Indirect and Direct Methods, Materials Science Forum, vol.508, pp.325-330, 2006.
DOI : 10.4028/www.scientific.net/MSF.508.325

S. Mc-fadden and D. Browne, Modelling the columnar to equiaxed transition using a front tracking method, Proceedings of the 5th Decennial International Conference on Solidification Processing, pp.172-175, 2007.

A. Badillo and B. Beckermann, Growth of equiaxed dendritic crystals settling in an undercooled melt, Proceedings of the 5th Decennial International Conference on Solidification Processing, pp.176-180, 2007.

G. Grange, C. Jourdan, J. Gastaldi, and B. Billia, Strain visualization of the onset of morphological instability and defect formation in cellular solidification of a dilute Al-Cu alloy, Acta Mater, 1997.

W. Kurz and D. J. Fisher, Dendrite growth at the limit of stability: tip radius and spacing, Acta Metallurgica, vol.29, issue.1, pp.11-20, 1981.
DOI : 10.1016/0001-6160(81)90082-1

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

R. Trivedi, Interdendritic Spacing: Part II. A Comparison of Theory and Experiment, Metallurgical Transactions A, vol.29, issue.6, p.977, 1984.
DOI : 10.1007/BF02644689