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

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

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