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Effect of elastic strain energy on grain growth and texture in AZ31 magnesium alloy by phase-field simulation |
Ri He(何日), Ming-Tao Wang(王明涛), Jian-Feng Jin(金剑锋), Ya-Ping Zong(宗亚平) |
School of Materials and Engineering & Key Laboratory for Anisotropy and Texture of Materials(Ministry of Education), Northeastern University, Shenyang 110089, China |
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Abstract A phase-field model is modified to investigate the grain growth and texture evolution in AZ31 magnesium alloy during stressing at elevated temperatures. The order parameters are defined to represent a physical variable of grain orientation in terms of three angles in spatial coordinates so that the grain volume of different order parameters can be used to indicate the texture of the alloy. The stiffness tensors for different grains are different because of elastic anisotropy of the magnesium lattice. The tensor is defined by transforming the standard stiffness tensor according to the angle between the (0001) plane of a grain and the direction of applied stress. Therefore, different grains contribute to different amounts of work under applied stress. The simulation results are well-explained by using the limited experimental data available, and the texture results are in good agreement with the experimental observations. The simulation results reveal that the applied stress strongly influences AZ31 alloy grain growth and that the grain-growth rate increases with the applied stress increasing, particularly when the stress is less than 400 MPa. A parameter (△d) is introduced to characterize the degree of grain-size variation due to abnormal grain growth; the △d increases with applied stress increasing and becomes considerably large only when the stress is greater than 800 MPa. Moreover, the applied stress also results in an intensive texture of the 〈0001〉 axis parallel to the direction of compressive stress in AZ31 alloy after growing at elevated temperatures, only when the applied stress is greater than 500 MPa.
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Received: 15 May 2017
Revised: 18 July 2017
Accepted manuscript online:
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PACS:
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82.20.Wt
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(Computational modeling; simulation)
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91.60.Ed
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(Crystal structure and defects, microstructure)
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81.40.Jj
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(Elasticity and anelasticity, stress-strain relations)
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68.55.jm
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(Texture)
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Fund: Project supported by the National Key Research Development Program of China (Grant No. 2016YFB0701204) and the National Natural Science Foundation of China (Grant Nos. U1302272 and 51571055). |
Corresponding Authors:
Ming-Tao Wang
E-mail: wangmingtao@mail.neu.edu.cn
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Cite this article:
Ri He(何日), Ming-Tao Wang(王明涛), Jian-Feng Jin(金剑锋), Ya-Ping Zong(宗亚平) Effect of elastic strain energy on grain growth and texture in AZ31 magnesium alloy by phase-field simulation 2017 Chin. Phys. B 26 128201
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[1] |
Tang Y and El-Awady J A 2014 Acta Mater. 71 319
|
[2] |
Zhang J and Joshi S P 2012 J. Mech. Phys. Solids 60 945
|
[3] |
Agnew S R and Duygulu Ö 2005 Int. J. Plast. 21 1161
|
[4] |
Kim W J, Lee Y G, Lee M J, Wang J Y and Park Y B 2011 Scr. Mater. 65 1105
|
[5] |
Yin S M, Wang C H, Diao Y D, Wu S D and Li S X 2011 J. Mater. Sci. Technol. 27 29
|
[6] |
del Valle J A, Carreño F and Ruano O A 2006 Acta Mater. 54 4247
|
[7] |
Victoria-Hernandez J, Yi S, Bohlen J, Kurz G and Letzig D 2014 J. Alloys Compd. 616 189
|
[8] |
Chai S, Zhang D, Pan F, Dong J, Guo F and Dong Y 2013 Mater. Sci. Eng. A 588 208
|
[9] |
Laser T, Hartig C, Nürnberg M R, Letzig D and Bormann R 2008 Acta Mater. 56 2791
|
[10] |
del Valle J A and Ruano O A 2008 Mater. Sci. Eng. A 487 473
|
[11] |
Kim S H, You B S, Dong Yim C and Seo Y M 2005 Mater. Lett. 59 3876
|
[12] |
Suwas S and Ray R K 2014 Crystallographic Texture of Materials (London:Springer) pp. 108-137
|
[13] |
Lu L, Huang J W, Fan D, Bie B X, Sun T, Fezzaa K, Gong X L and Luo S N 2016 Acta Mater. 120 86
|
[14] |
Chumachenko E N 2009 Mater. Sci. Eng. A 499 342
|
[15] |
Ramakrishnan N and Ramarao P 1999 Mater. Sci. 22 829
|
[16] |
Steinbach I 2009 Modell. Simul. Mater. Sci. Eng. 17 073001
|
[17] |
Wen Y H, Wang Y and Chen L Q 2001 Acta Mater. 49 13
|
[18] |
Guo W, Steinbach I, Somsen C and Eggeler G 2011 Acta Mater. 59 3287
|
[19] |
Kim D U, Cha P R, Kim S G, Kim W T, Cho J, Han H N, Lee H J and Kim J 2012 Comp. Mater. Sci. 56 58
|
[20] |
Darvishi Kamachali R, Kim S J and Steinbach I 2015 Comp. Mater. Sci. 104 193
|
[21] |
Bhattacharyya S, Heo T W, Chang K and Chen L Q 2011 Modell. Simul. Mater. Sci. Eng. 19 035002
|
[22] |
Lu Y L, Zhang L C, Zhou Y Y and Chen Z 2014 Chin. Phys. B 23 069102
|
[23] |
Wang M T, Zong B Y and Wang G 2008 J. Mater. Sci. Technol. 24 829
|
[24] |
Wang M T, Zong B Y and Wang G 2009 Comp. Mater. Sci. 45 217
|
[25] |
Wu Y, Zong B Y, Zhang X G and Wang M T 2012 Metall. Trans. A 44 1599
|
[26] |
He R, Wang M T, Zhang X and Zong B Y 2016 Modell. Simul. Mater. Sci. Eng. 24 055017
|
[27] |
Allen S M and Cahn J W 1979 Acta Met. 27 1085
|
[28] |
Cahn J W and Hilliard J E 1958 J. Chem. Phys. 28 258
|
[29] |
Fan D and Chen L Q 1997 Acta Mater. 45 611
|
[30] |
Khachaturyan A G 1983 Theory of structure transformation in solids (New York:John Wiley & Sons) pp. 198-212
|
[31] |
Eshelby J D 1957 Proc. Roy. Soc. London 241 376
|
[32] |
Ganeshan S, Shang S L, Wang Y and Liu Z K 2009 Acta Mater. 57 3876
|
[33] |
Nourollahi G A, Farahani M, Babakhani A and Mirjavadi S S 2013 Mater. Res. 16 1309
|
[34] |
Moreau G, Cornet J A and Calais D 1971 J. Nucl. Mater. 38 197
|
[35] |
Zhang X G, Wang M T, He R, Li W K and Zong B Y 2017 Comp. Mater. Sci. 127 261
|
[36] |
Chen L Q and Shen J 1998 Comput. Phys. Commun. 108 147
|
[37] |
Liu R C, Wang L Y, Gu L G and Huang G S 2004 Light Alloy Fabric. Technol. 23 22
|
[38] |
Zhang X P, Castagne S, Luo X F and Gu C F 2011 Mater. Sci. Eng. A 528 838
|
[39] |
Johnson W A and Mehl R F 1939 Trans. Am. Inst. Min. Metall. Pet. Eng. Inc. 416
|
[40] |
Dudamell N V, Ulacia I, Gálvez F, Yi S, Bohlen J, Letzig D, Hurtado I and Pérez-Prado M T 2012 Mater. Sci. Eng. A 532 528
|
[41] |
Mullins W W 1956 J. Appl. Phys. 27 900
|
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