Monte Carlo simulations of microstructure and texture evolution during annealing of a two-phase titanium alloy

Yang Liang; Wei Cheng-Yang; Lei Li-Ming; Li Zhen-Xi; Li Sai-Yi

doi:10.7498/aps.62.186103

Abstract

Nucleation and grain growth are important phenomena during static recrystallization of metallic materials and both processes have significant influences on the material properties. The Monte Carlo (MC) method has been widely used to simulate static recrystallization behavior during annealing of metallic materials. In this study, an MC model for static recrystallization of two-phase alloys is proposed by extending an existing MC model, through the introduction of the nucleation stage to account for the grain growth by both consuming deformed grains and competing with other recrystallized grains. The two-phase MC model is used to simulate the evolution of microstructure and texture during annealing of a TC11 (Ti-6.5Al-3.5Mo-1.5Zr-0.3Si) titanium alloy, accounting for initial grain morphology, phase compositions, crystallographic orientations, and relative values of strain stored energy determined by electron back-scattered diffraction. The results show that the model can reproduce satisfactorily the recrystallization and grain growth behavior in annealing. Compared with the β phase, the α phase depicts a lower recrystallization rate but a higher grain growth rate: the former difference can be mainly attributed to the lower strain stored energy in the α phase before annealing, whereas the latter suggests that the grain growth in the system is significantly influenced by the grain morphology, distribution of grains, and relative volume fractions of the two phases in the initial condition. Due to the influence of heterogeneous nucleation accounted for in the model, the simulated recrystallization rate deviates considerably from that described by the Johnson-Mehl-Avrami-Kolmogorov equation. The simulation also indicates that for both phases the textures strengthen with little changes in their basic features during annealing.

Keywords:

Authors and contacts

1.
School of Materials Science and Engineering, Central South University, Changsha 410083, China;
2.
Guangdong Zhaoqing Supervision Testing Institute of Quality and Measuring, Zhaoqing 526060, China;
3.
AVIC Commercial Aircraft Engine Co. Ltd., Shanghai 200241, China;
4.
Beijing Institute of Aeronautical Materials, Beijing 100095, China;
5.
Key Laboratory of Nonferrous Metal Materials Science and Engineering, Ministry of Education, Changsha 410012, China
Funds: Project supported by the National Basic Research Program of China (Grant No. 2007CB613803) and the National Natural Science Foundation of China (Grant No. 51271204).

References

[1]	Humphreys F J, Hatherly M 2004 Recrystallization and Related Annealing Phenomena (2nd Ed.) (Oxford: Elsevier) pp123-135
[2]	Peranio N, Li Y J, Roters F, Raabe D 2010 Mater. Sci. Eng. A 527 4161
[3]	Rocha R O, Melo T M F, Pereloma E V, Santos D B 2005 Mater. Sci. Eng. A 391 296
[4]	Srolovitz D J, Grest G S, Anderson M P 1986 Acta Metall. 34 1833
[5]	Moelans N, Blanpain B, Wollants P 2008 Phys. Rev. B 78 024113
[6]	Srolovitz D J, Grest G S, Anderson M P, Rollett A D 1988 Acta Metall. 36 2115
[7]	Rollett A D, Srolovitz D J, Anderson M P, Doherty R D 1992 Acta Metall. Mater. 40 3475
[8]	Avrami M 1939 J. Chem. Phys. 7 1103
[9]	Raabe D, Hantcherli L 2005 Comput. Mater. Sci. 34 299
[10]	Chun Y B, Semiatin S L, Hwang S K 2006 Acta Mater. 54 3673
[11]	Fan D, Chen L Q 1997 Acta Mater. 45 4145
[12]	Fang B, Huang C Z, Liu H L, Xu C H, Sun S 2009 J. Mater. Proc. Tech. 209 4568
[13]	Bellucci D, Cannillo V, Sola A 2010 Ceram. Int. 36 1983
[14]	Kong F R, Santhanakrishnan S, Lin D, Kovacevic R 2009 J. Mater. Proc. Tech. 209 5996
[15]	Doherty R D, Hughes D A, Humphreys F J, Jonas J J, Juul Jensen D, Kassner M E, King W E, McNelley T R, McQueen H J, Rollett A D 1997 Mater. Sci. Eng. A 238 219
[16]	Humphreys F J 1997 Acta Mater. 45 4231
[17]	Arrhenius S 1889 Z. Phys. Chem. 4 226
[18]	Ivasishin O M, Shevchenko S V, Semiatin S L 2002 Mater. Sci. Eng. A 332 343
[19]	Read W T, Shockley W 1950 Phys. Rev. 78 275
[20]	Gil F X, Planell J A 2000 Mater. Sci. Eng. A 283 17
[21]	Gil F X, Rodriguez D, Planell J A 1995 Scripta Metall. Mater. 33 1361
[22]	Da Costa Teixeira J, Appolaire B, Aeby-Gautier E, Denis S, Bruneseaux F 2006 Acta Mater. 54 4261
[23]	Roth T A, Henning W D 1985 Mater. Sci. Eng. A 76 187
[24]	Suppayak P 1977 M. S. Dissertation (Kansas: Kansas State University)
[25]	Rollett A D, Holm E A 1997 Proceedings 3rd International Conference on Recrystallization and Related Phenomena (ReX’96) Monterey, October 21-24, 1996 p31
[26]	Sha W, Malinov S 2009 Titanium Alloys: Modelling of Microstructure, Properties and Applications (Cambridge: Woodhead Publishing) p233
[27]	Ding R, Guo Z X 2001 Acta Mater. 49 3163
[28]	Ding R, Guo Z X, Wilson A 2002 Mater. Sci. Eng. A 327 233
[29]	Li S, Yang L, Lei L, Wei C, Zhang H 2012 J. Mater. Sci. Technol. 28 1015

Cited By

[1]	Humphreys F J, Hatherly M 2004 Recrystallization and Related Annealing Phenomena (2nd Ed.) (Oxford: Elsevier) pp123-135
[2]	Peranio N, Li Y J, Roters F, Raabe D 2010 Mater. Sci. Eng. A 527 4161
[3]	Rocha R O, Melo T M F, Pereloma E V, Santos D B 2005 Mater. Sci. Eng. A 391 296
[4]	Srolovitz D J, Grest G S, Anderson M P 1986 Acta Metall. 34 1833
[5]	Moelans N, Blanpain B, Wollants P 2008 Phys. Rev. B 78 024113
[6]	Srolovitz D J, Grest G S, Anderson M P, Rollett A D 1988 Acta Metall. 36 2115
[7]	Rollett A D, Srolovitz D J, Anderson M P, Doherty R D 1992 Acta Metall. Mater. 40 3475
[8]	Avrami M 1939 J. Chem. Phys. 7 1103
[9]	Raabe D, Hantcherli L 2005 Comput. Mater. Sci. 34 299
[10]	Chun Y B, Semiatin S L, Hwang S K 2006 Acta Mater. 54 3673
[11]	Fan D, Chen L Q 1997 Acta Mater. 45 4145
[12]	Fang B, Huang C Z, Liu H L, Xu C H, Sun S 2009 J. Mater. Proc. Tech. 209 4568
[13]	Bellucci D, Cannillo V, Sola A 2010 Ceram. Int. 36 1983
[14]	Kong F R, Santhanakrishnan S, Lin D, Kovacevic R 2009 J. Mater. Proc. Tech. 209 5996
[15]	Doherty R D, Hughes D A, Humphreys F J, Jonas J J, Juul Jensen D, Kassner M E, King W E, McNelley T R, McQueen H J, Rollett A D 1997 Mater. Sci. Eng. A 238 219
[16]	Humphreys F J 1997 Acta Mater. 45 4231
[17]	Arrhenius S 1889 Z. Phys. Chem. 4 226
[18]	Ivasishin O M, Shevchenko S V, Semiatin S L 2002 Mater. Sci. Eng. A 332 343
[19]	Read W T, Shockley W 1950 Phys. Rev. 78 275
[20]	Gil F X, Planell J A 2000 Mater. Sci. Eng. A 283 17
[21]	Gil F X, Rodriguez D, Planell J A 1995 Scripta Metall. Mater. 33 1361
[22]	Da Costa Teixeira J, Appolaire B, Aeby-Gautier E, Denis S, Bruneseaux F 2006 Acta Mater. 54 4261
[23]	Roth T A, Henning W D 1985 Mater. Sci. Eng. A 76 187
[24]	Suppayak P 1977 M. S. Dissertation (Kansas: Kansas State University)
[25]	Rollett A D, Holm E A 1997 Proceedings 3rd International Conference on Recrystallization and Related Phenomena (ReX’96) Monterey, October 21-24, 1996 p31
[26]	Sha W, Malinov S 2009 Titanium Alloys: Modelling of Microstructure, Properties and Applications (Cambridge: Woodhead Publishing) p233
[27]	Ding R, Guo Z X 2001 Acta Mater. 49 3163
[28]	Ding R, Guo Z X, Wilson A 2002 Mater. Sci. Eng. A 327 233
[29]	Li S, Yang L, Lei L, Wei C, Zhang H 2012 J. Mater. Sci. Technol. 28 1015

[1]	Zhang Xian, Liu Shi-Chang, Wei Jun-Xia, Li Shu, Wang Xin, Shangguan Dan-Hua. Monte Carlo global variance reduction method combining source bias and weight window. Acta Physica Sinica, 2024, 73(4): 042801. doi: 10.7498/aps.73.20231493
[2]	Shangguan Dan-Hua, Yan Wei-Hua, Wei Jun-Xia, Gao Zhi-Ming, Chen Yi-Bing, Ji Zhi-Cheng. Efficient Monte Carlo algorithm of time-dependent particle transport problem in multi-physics coupling calculation. Acta Physica Sinica, 2022, 71(9): 090501. doi: 10.7498/aps.71.20211474
[3]	Chen Zhong, Zhao Zi-Jia, Lü Zhong-Liang, Li Jun-Han, Pan Dong-Mei. Numerical simulation of deuterium-tritium fusion reaction rate in laser plasma based on Monte Carlo-discrete ordinate method. Acta Physica Sinica, 2019, 68(21): 215201. doi: 10.7498/aps.68.20190440
[4]	Li Shu. Monte Carlo method for computing relativistic photon-Maxwellian electron scattering cross sections. Acta Physica Sinica, 2018, 67(21): 215201. doi: 10.7498/aps.67.20180932
[5]	Wang Hong-Ming, Zhu Yi, Li Gui-Rong, Zheng Rui. Plasticity and microstructure of AZ31 magnesium alloy under coupling action of high pulsed magnetic field and external stress. Acta Physica Sinica, 2016, 65(14): 146101. doi: 10.7498/aps.65.146101
[6]	Lin Shu, Yan Yang-Jiao, Li Yong-Dong, Liu Chun-Liang. Monte-Carlo method of computing multipactor threshold in microwave devices. Acta Physica Sinica, 2014, 63(14): 147902. doi: 10.7498/aps.63.147902
[7]	Wang Hai-Hua, Sun Xian-Ming. Multiple scattering of light by mixtures of two different aerosol types. Acta Physica Sinica, 2012, 61(15): 154204. doi: 10.7498/aps.61.154204
[8]	Wen De-Zhi, Zhuo Ren-Hong, Ding Da-Jie, Zheng Hui, Cheng Jing, Li Zheng-Hong. Generation of correlated pseudorandom variables in Monte Carlo simulation. Acta Physica Sinica, 2012, 61(22): 220204. doi: 10.7498/aps.61.220204
[9]	Zhang Yu, Ge Chang-Chun, Shen Wei-Ping, Qiu Cheng-Jie. Microstructure of spray-formed FGH4095 after static recrystallization. Acta Physica Sinica, 2012, 61(20): 208101. doi: 10.7498/aps.61.208101
[10]	Zhang Bao-Hua, Guo Fu-Qiang, Sun Yi, Wang Jun-Jun, Li Yan-Qing, Zhi Li-Li. Solvothermal recrystallized synthesis of one-dimensional CdS nanorods self-assembled from nanoparticles. Acta Physica Sinica, 2012, 61(13): 138101. doi: 10.7498/aps.61.138101
[11]	Zhang Xian-Gang, Zong Ya-Ping, Wu Yan. A model for releasing of stored energy and microstructure evolution during recrystallization by phase-field simulation. Acta Physica Sinica, 2012, 61(8): 088104. doi: 10.7498/aps.61.088104
[12]	Zhang Bao-Wu, Zhang Ping-Ping, Ma Yan, Li Tong-Bao. Simulations of one-dimensional transverse laser cooling of Cr atomic beam with Monte Carlo method. Acta Physica Sinica, 2011, 60(11): 113701. doi: 10.7498/aps.60.113701
[13]	Liu Tao, Guo Zhao-Hui, Li Xiu-Mei, Li Wei. Effect of microstructure on the magnetic properties of Pt-Co permanent magnetic alloy. Acta Physica Sinica, 2009, 58(3): 2030-2034. doi: 10.7498/aps.58.2030
[14]	Zhang Fei-Peng, Lu Qing-Mei, Zhang Jiu-Xing, Zhang Xin. Texture and electrical transport properties of Ba and Ag double substituted BaxAgyCa3-x-yCo4O9 oxide. Acta Physica Sinica, 2009, 58(4): 2697-2701. doi: 10.7498/aps.58.2697
[15]	Liu Hong, Wang Xi-Tao, Chen Leng. Modelling the strain induced precipitation in Nb-containing micro-alloyed steels. Acta Physica Sinica, 2009, 58(13): 151-S155. doi: 10.7498/aps.58.151
[16]	Zong Ya-Ping, Wang Ming-Tao, Guo Wei. Phase field simulation on recrystallization and secondary phase precipitation under strain field. Acta Physica Sinica, 2009, 58(13): 161-S168. doi: 10.7498/aps.58.161
[17]	Yang Bai, Shen Bao-Gen, Zhao Tong-Yun, Sun Ji-Rong. Texture and magnetic properties of nanocomposite Pr2Fe14B/α-Fe melt-spun ribbons. Acta Physica Sinica, 2007, 56(6): 3527-3532. doi: 10.7498/aps.56.3527
[18]	Hao Fan-Hua, Hu Guang-Chun, Liu Su-Ping, Gong Jian, Xiang Yong-Chun, Huang Rui-Liang, Shi Xue-Ming, Wu Jun. Monte-Carlo method in calculating the γ spectrum of plutonium volume source. Acta Physica Sinica, 2005, 54(8): 3523-3529. doi: 10.7498/aps.54.3523
[19]	Zhang Jian-Min, Xu Ke-Wei. Investigation of abnormal grain growth andtexture change in Ag and Cu films. Acta Physica Sinica, 2003, 52(1): 145-149. doi: 10.7498/aps.52.145
[20]	LI CAN-HUA, LIAO YUAN, CHANG CHAO, WANG GUAN-ZHONG, FANG RONG-CHUAN. THE NUCLEATION AND GROWTH OF (100) TEXTURED DIAMOND FILMS IN PRESENCE OF NITROG EN. Acta Physica Sinica, 2000, 49(9): 1756-1763. doi: 10.7498/aps.49.1756

Catalog

Vol. 62, Issue 18 - 2013-09-20

Metrics

Abstract views: 8754
PDF Downloads: 885
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板