Dendrite to symmetry-broken dendrite transition in directional solidification of non-axially oriented crystals

doi:10.1088/1674-1056/23/3/038104

Abstract In this paper, the morphological transition from dendrite to symmetry-broken dendrite is investigated in the directional solidification of non-axially-oriented crystals using a quantitative phase-field model. The effects of pulling velocity and crystal orientation on the morphological transition are investigated. The results indicate the orientation dependence of the symmetry-broken double dendrites. A dendrite to symmetry-broken dendrite transition is found by varying the pulling velocity at different crystal orientations and the symmetry-broken multiple dendrites emerge as a transition state for the symmetry-broken double dendrites. The state region during the transition can be well characterized through the variations of the characteristic angle and the average primary dendritic spacing.

Keywords: directional solidification phase-field simulations symmetry broken

Received: 01 April 2013
Revised: 02 September 2013
Accepted manuscript online:

PACS:	81.30.Fb	(Solidification)
	68.70.+w	(Whiskers and dendrites (growth, structure, and nonelectronic properties))

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61078057 and 51172183), the National Natural Science Foundation of Shaanxi Province, China (Grant No. 2012JQ8013), the Aviation Foundation of China (Grant No. 2011ZF53065), and the NPU Foundation for Fundamental Research, China (Grant Nos. NPU-FFR-JC20110273 and JC201155).

Corresponding Authors: Chen Chang-Le
E-mail: chenchl@nwpu.edu.cn

Cite this article:

Xing Hui (邢辉), Wang Jian-Yuan (王建元), Chen Chang-Le (陈长乐), Jin Ke-Xin (金克新), Du Li-Fei (杜立飞) Dendrite to symmetry-broken dendrite transition in directional solidification of non-axially oriented crystals 2014 Chin. Phys. B 23 038104

[1]	Kurz W and Fisher D J 2001 Fundamentals of Solidification (4th edn.) (Enfield: Enfield Publishing and Distribution Company)
[2]	Calliser W 2003 Materials Science and Engineering an Introduction (New York: Wiley)
[3]	Haxhimali T, Karma A, Gonzales F and Rappaz M 2006 Nature Mater. 5 660
[4]	Salgado-Ordorica M A and Rappaz M 2008 Acta Mater. 56 5708
[5]	Amoorezaei M, Gurevich S and Provatas N 2010 Acta Mater. 58 6115
[6]	Mulins W W and Sekerka R F 1964 J. Appl. Phys. 35 444
[7]	Jamgotchian H, Trivedi R and Billia B 1993 Phys. Rev. E 47 4313
[8]	Kopczynski P, Karma A and Rappel W J 1997 Phys. Rev. E 55 1282
[9]	Losert W, Stillman D A, Cummins H Z, Kopczynski P, Rappel W J and Karma A 1998 Phys. Rev. E 58 7492
[10]	Akamatsu S, Faivre G and Ihle T 1995 Phys. Rev. E 51 4751
[11]	Ihle T and Muller-Krumbhaar H 1993 Phys. Rev. Lett. 70 3083
[12]	Ihle T and Muller-Krumbhaar H 1994 Phys. Rev. E 49 2972
[13]	Singer H M, Singer-Loginova I, Bilgram J H and Amberg G 2006 J. Crystal Growth 58 296
[14]	Kassner K, Valance A, Misbah C and Temkin D 1993 Phys. Rev. E 48 1091
[15]	Kupferman R, Kessler D and Ben-Jacob E 1995 Physica A 213 451
[16]	Ben Amnar M and Brener E 1995 Phys. Rev. Lett. 75 561
[17]	Georgelin M and Pocheau A 1997 Phys. Rev. Lett. 79 2698
[18]	Li J J, Wang J C and Wang G C 2008 Chin. Phys. B 17 3516
[19]	Akamatsu S and Ihle T 1997 Phys. Rev. E 56 4479
[20]	Pocheau A, Deschamps J and Georgelin M 2007 JOM 7 71
[21]	Deschamps J, Georgelin M and Pocheau A 2008 Phys. Rev. E 78 011605
[22]	Utter B and Bodenschaz E 2005 Phys. Rev. E 72 011601
[23]	Echebarria B, Folch R, Karma A and Plapp M 2004 Phys. Rev. E 70 061604
[24]	Wang Z J, Wang J C and Yang G C 2010 Chin. Phys. B 19 078101
[25]	Wang Z J, Wang J C and Yang G C 2010 Chin. Phys. B 19 017305
[26]	Shan L, Napolitano R E and Trivedi R 2001 Acta Mater. 49 4271
[27]	Badillo A and Beckermann C 2006 Acta Mater. 54 2015
[28]	Wang Z J, Li J J, Wang J C and Zhou Y H 2012 Acta Mater. 60 1957

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Dendrite to symmetry-broken dendrite transition in directional solidification of non-axially oriented crystals

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