Simulations of Ti nanoparticles upon heating and cooling on an atomic scale

Wang Ya-Ming; Liu Yong-Li; Zhang Lin

doi:10.7498/aps.68.20190228

Abstract

Titanium (Ti) has many advantages including high specific strength, low density, and biocompatibility, and is an excellent option for biomedical implant applications. Traditionally manufacturing processes have great difficulties in processing the hexagonal α-Ti with complex geometries, which would be transformed into the BCC β-Ti at high temperatures. Additive manufacturing (AM) or metal three-dimensional(3D) printing has made it possible to accurately fabricate Ti products with complex morphology. As nanoparticles have been used in the AM processing, an interesting issue arises naturally to understand packing changes of Ti particles with nanometer size during heating and cooling. The information provides the possibility in understanding the processing-structure-property-performance relations in the AM processes with the intent of producing the desirable microstructural features, and thus achieving the mechanical properties comparable or even superior to the conventionally manufactured parts. Because of lacking appropriate experimental techniques, computational approach becomes a good option to obtain various static and dynamic properties of metals reliably, in bulk or surface configurations. On a nanoscale, as the number of atoms in one particle increases, the computational cost increases exponentially and the data complexity increases correspondingly. Molecular dynamics (MD) simulation is a well-established technique to characterize microscopic details in these systems involving combined behaviors of atom movements and locally structural rearrangements. In this paper we conduct the simulations within the framework of embedded atom method provided by Pasianot et al. to study packing transformations of Ti nanoparticles upon heating and cooling on an atomic scale. Based on the calculation of the potential energy per atom, pair distribution function, pair analysis, and the specific heat capacity, the results show that the particle size and temperature changes play key roles in the packing transformations. Small size particles preferentially form icosahedral geometries. As the particle size increases, particles can hold their HCP packing at room temperature. Upon heating, the structural transformation from HCP to BCC occurs in these large size particles, and there coexist the HCP structure and the BCC structure. At a high temperature, these particles present the melting behavior similar to that of the bulk phase. When the molten particles are cooled, the atoms in the particles undergo melting-BCC-HCP structural transition, and the freezing temperature lags behind the melting temperature. The simulations provide an estimate of the critical size, and are applicable to classical theory for melting the Ti particles.

Keywords:

Authors and contacts

1.
Key Laboratory for Anisotropy and Texture of Materials (Ministry of Education), Northeastern University, Shenyang 110819, China
2.
School of Material Science and Engineering, Northeastern University, Shenyang 110819, China

Corresponding author: Zhang Lin, zhanglin@imp.neu.edu.cn

Funds: Project supported by the National Key R&D Program of China (Grant No. 2016YFB0701304) and the National Natural Science Foundation of China (Grant No. 51671051).

FullText HTML : translate this paragraph

References

[1]	Sharpless N E, DePinho R A 2007 Nat. Rev. Mol. Cell Biol. 8 703 Google Scholar
[2]	Griffith L G, Naughton G 2002 Science 295 1009 Google Scholar
[3]	Stoltz J 2012 Regener. Med. Cell. Ther. 77 111
[4]	Amini A R, Laurencin C P, Nukavarapu S P 2012 Crit. Rev. Biomed. Eng. 40 363 Google Scholar
[5]	Wysocki B, Idaszek J, Szlązak K, Strzelczyk K, Brynk T, Kurzydlowski K J, Święszkoski W 2016 Materials 9 197215
[6]	Elias C N, Lima J H C, Valiev R, Meyers M A 2008 JOM 60 46
[7]	Attar H, Calin M, Zhang L C, Scudino S, Eckert J 2014 Mater. Sci. Eng. A 593 170 Google Scholar
[8]	Zhang L C, Attar H 2016 Adv. Eng. Mater. 18 463 Google Scholar
[9]	Froes F H 2012 Adv. Mater. Processes 170 16
[10]	Urlea V, Brailovski V 2017 J. Mater. Process. Technol. 242 1 Google Scholar
[11]	Herzog D, Sevda V, Wycik E, Emmelmann C 2016 Acta Mater. 117 371 Google Scholar
[12]	Bourell D, Kruth J P, Leu M, Levy G, Rosen D, Beese A M, Clare A 2017 CIRP Annals Manuf. Technol. 66 659 Google Scholar
[13]	Liu Y J, Li S J, Wang H L, Hou W T, Hao Y L, Yang R, Sercombe T B, Zhang L C 2016 Acta Mater. 113 56 Google Scholar
[14]	Prashanth K G, Shahabi H S, Attar H, Srivastava V C, Ellendt N, Uhlenwinkel V, Eckert J, Scudino S 2015 Add. Manuf. 6 1
[15]	Zhang L C, Klemm D, Eckert J, Hao Y L, Sercombe T B 2011 Scrip. Mater. 65 21
[16]	Gu D D, Meiners W, Wissenbach K, Poprawe R 2012 Int. Mater. Rev. 57 133 Google Scholar
[17]	Sames W J, List F A, Pannala S, Dehoff R R, Babu S S 2016 Int. Mat. Rev. 61 315 Google Scholar
[18]	Piseri P, Mazza T, Bongiorno G, Lenardi C, Ravagnan L, Foglia F D, DiFonzo F, Coreno M, DeSimone M, Prince K C, Milani P 2006 New J. Phys. 8 136 Google Scholar
[19]	Qu X 2017 Mater. Sci. Technol. 33 822 Google Scholar
[20]	Buesser B, Pratsinis S E 2015 J. Phys. Chem. C 119 10116 Google Scholar
[21]	Mazzone A M 2000 Philos. Mag. B 80 95 Google Scholar
[22]	Chepkasov I V, Gafner Y Y, Gafner S L 2016 J. Aerosol Sci. 91 33 Google Scholar
[23]	Gould A L, Logsdail A J, Catlow C R A 2015 J. Phys. Chem. C 119 623 Google Scholar
[24]	Mottet C, Rossi G, Baletto F, Ferrando R 2005 Phys. Rev. Lett. 95 035501 Google Scholar
[25]	Zhang L 2016 J. Phys. Soc. Jpn. 85 054602
[26]	Levchenko E V, Evteev A V, Lorscheider T, Belova I V, Murch G E 2013 Comput. Mater. Sci. 79 316 Google Scholar
[27]	Zhang L 2019 Adv. Eng. Mater. 21 1800531 Google Scholar
[28]	Zhang L 2019 Prog. Nat. Sci.: Mater. Inter. 29 237 Google Scholar
[29]	Mendelev M I, Underwood T L, Ackland G J 2016 J. Chem. Phys. 145 154
[30]	Farkas D 1994 Modell. Simul. Mater. Sci. Eng. 2 975 Google Scholar
[31]	Pasianot R, Savino E 1992 Phys. Rev. B 45 12704 Google Scholar
[32]	Rose J H, Smith J R, Guinea F, Ferrante J 1984 Phys. Rev. B 29 2963
[33]	钱泽宇, 张林 2015 物理学报 64 243103 Google Scholar Qian Z Y, Zhang L 2015 Acta Phys. Sin. 64 243103 Google Scholar
[34]	张林, 李蔚, 刘永利, 孙本哲, 王佳庆 2011 金属学报 47 1080 Zhang L, Li W, Liu Y L, Sun B Z, Wang J Q 2011 Acta Metall. Sin. 47 1080
[35]	宋成粉, 樊沁娜, 李蔚, 刘永利, 张林 2011 物理学报 60 063104 Google Scholar Song C F, Fan Q N, Li W, Liu Y L, Zhang L 2011 Acta Phys. Sin. 60 063104 Google Scholar
[36]	Tayson W R, Miller W A 1977 Surf. Sci. 62 267 Google Scholar
[37]	Aghemenloh E, Idiodi J O A, Azi S O 2009 Comput. Mater. Sci. 10 1016
[38]	姬德朋, 王绍青 2015 金属学报 51 597 Google Scholar Ji D P, Wang S Q 2015 Acta Metall. Sin. 51 597 Google Scholar
[39]	汤剑锋 2016 博士学位论文(长沙: 湖南大学) Tang J F 2016 Ph. D. Dissertation (Changsha: Hunan University) (in Chinese)
[40]	Lewis L J, Jensen P, Barrat J L 1997 Phys. Rev. B 56 2248 Google Scholar
[41]	Kofman R, Cheyssac P, Aouaj A, Lereah Y, Deutschera G, Ben-Davida T, Penissonc J M, Bourret A 1994 Surf. Sci. 303 231 Google Scholar
[42]	冯黛丽, 冯妍卉, 张欣欣 2013 物理学报 62 083602 Google Scholar Feng D L, Feng Y H, Zhang X X 2013 Acta Phys. Sin. 62 083602 Google Scholar
[43]	汪志刚, 吴亮, 张杨, 文玉华 2011 物理学报 60 096105 Wang Z G, Wu L, Zhang Y, Wen Y H 2011 Acta Phys. Sin. 60 096105
[44]	Zhang L, Sun H X 2010 Phys. Status. Solidi. A 207 1178 Google Scholar
[45]	Xu S N, Zhang L, Qi Y, Zhang C B 2010 Phys. B 405 632 Google Scholar

Cited By

图 1 300 K下势能随时间步的变化

Figure 1. The potential energy varying with timesteps.

DownLoad: Full-Size Img PowerPoint

图 2 原子间键对示意图

Figure 2. Schematic diagram of atomic pairs.

DownLoad: Full-Size Img PowerPoint

图 3 原子平均能量随温度的变化

Figure 3. The average energy per atom for Ti nanoparticles with different sizes.

DownLoad: Full-Size Img PowerPoint

图 4 Ti₁₃对分布函数和原子堆积二维投影图

Figure 4. The pair distribution functions and atomic packing of the Ti₁₃.

DownLoad: Full-Size Img PowerPoint

图 5 Ti₅₇粒子在升温-降温过程中不同温度下的对分布函数　(a)升温; (b)降温

Figure 5. The pair distribution functions of Ti₅₇ nanoparticles under heating and cooling processes: (a) Heating process; (b) cooling process.

DownLoad: Full-Size Img PowerPoint

图 6 Ti₄₀₁粒子在升温-降温过程中不同温度下的对分布函数　(a)升温; (b)降温

Figure 6. The pair distribution functions of Ti₄₀₁ nanoparticles under heating and cooling processes: (a) Heating process; (b) cooling process.

DownLoad: Full-Size Img PowerPoint

图 7 Ti₁₁₁₁纳米粒子的键对比例分数随温度变化曲线　(a)升温; (b)降温

Figure 7. Variations of pair fraction in Ti₁₁₁₁ nanoparticles: (a) Heating process; (b) cooling process.

DownLoad: Full-Size Img PowerPoint

图 8 Ti纳米粒子势能-温度斜率随粒径的变化

Figure 8. Slope of potential-temperature varying with the diameters of Ti nanoparticles.

DownLoad: Full-Size Img PowerPoint

[1]	Sharpless N E, DePinho R A 2007 Nat. Rev. Mol. Cell Biol. 8 703 Google Scholar
[2]	Griffith L G, Naughton G 2002 Science 295 1009 Google Scholar
[3]	Stoltz J 2012 Regener. Med. Cell. Ther. 77 111
[4]	Amini A R, Laurencin C P, Nukavarapu S P 2012 Crit. Rev. Biomed. Eng. 40 363 Google Scholar
[5]	Wysocki B, Idaszek J, Szlązak K, Strzelczyk K, Brynk T, Kurzydlowski K J, Święszkoski W 2016 Materials 9 197215
[6]	Elias C N, Lima J H C, Valiev R, Meyers M A 2008 JOM 60 46
[7]	Attar H, Calin M, Zhang L C, Scudino S, Eckert J 2014 Mater. Sci. Eng. A 593 170 Google Scholar
[8]	Zhang L C, Attar H 2016 Adv. Eng. Mater. 18 463 Google Scholar
[9]	Froes F H 2012 Adv. Mater. Processes 170 16
[10]	Urlea V, Brailovski V 2017 J. Mater. Process. Technol. 242 1 Google Scholar
[11]	Herzog D, Sevda V, Wycik E, Emmelmann C 2016 Acta Mater. 117 371 Google Scholar
[12]	Bourell D, Kruth J P, Leu M, Levy G, Rosen D, Beese A M, Clare A 2017 CIRP Annals Manuf. Technol. 66 659 Google Scholar
[13]	Liu Y J, Li S J, Wang H L, Hou W T, Hao Y L, Yang R, Sercombe T B, Zhang L C 2016 Acta Mater. 113 56 Google Scholar
[14]	Prashanth K G, Shahabi H S, Attar H, Srivastava V C, Ellendt N, Uhlenwinkel V, Eckert J, Scudino S 2015 Add. Manuf. 6 1
[15]	Zhang L C, Klemm D, Eckert J, Hao Y L, Sercombe T B 2011 Scrip. Mater. 65 21
[16]	Gu D D, Meiners W, Wissenbach K, Poprawe R 2012 Int. Mater. Rev. 57 133 Google Scholar
[17]	Sames W J, List F A, Pannala S, Dehoff R R, Babu S S 2016 Int. Mat. Rev. 61 315 Google Scholar
[18]	Piseri P, Mazza T, Bongiorno G, Lenardi C, Ravagnan L, Foglia F D, DiFonzo F, Coreno M, DeSimone M, Prince K C, Milani P 2006 New J. Phys. 8 136 Google Scholar
[19]	Qu X 2017 Mater. Sci. Technol. 33 822 Google Scholar
[20]	Buesser B, Pratsinis S E 2015 J. Phys. Chem. C 119 10116 Google Scholar
[21]	Mazzone A M 2000 Philos. Mag. B 80 95 Google Scholar
[22]	Chepkasov I V, Gafner Y Y, Gafner S L 2016 J. Aerosol Sci. 91 33 Google Scholar
[23]	Gould A L, Logsdail A J, Catlow C R A 2015 J. Phys. Chem. C 119 623 Google Scholar
[24]	Mottet C, Rossi G, Baletto F, Ferrando R 2005 Phys. Rev. Lett. 95 035501 Google Scholar
[25]	Zhang L 2016 J. Phys. Soc. Jpn. 85 054602
[26]	Levchenko E V, Evteev A V, Lorscheider T, Belova I V, Murch G E 2013 Comput. Mater. Sci. 79 316 Google Scholar
[27]	Zhang L 2019 Adv. Eng. Mater. 21 1800531 Google Scholar
[28]	Zhang L 2019 Prog. Nat. Sci.: Mater. Inter. 29 237 Google Scholar
[29]	Mendelev M I, Underwood T L, Ackland G J 2016 J. Chem. Phys. 145 154
[30]	Farkas D 1994 Modell. Simul. Mater. Sci. Eng. 2 975 Google Scholar
[31]	Pasianot R, Savino E 1992 Phys. Rev. B 45 12704 Google Scholar
[32]	Rose J H, Smith J R, Guinea F, Ferrante J 1984 Phys. Rev. B 29 2963
[33]	钱泽宇, 张林 2015 物理学报 64 243103 Google Scholar Qian Z Y, Zhang L 2015 Acta Phys. Sin. 64 243103 Google Scholar
[34]	张林, 李蔚, 刘永利, 孙本哲, 王佳庆 2011 金属学报 47 1080 Zhang L, Li W, Liu Y L, Sun B Z, Wang J Q 2011 Acta Metall. Sin. 47 1080
[35]	宋成粉, 樊沁娜, 李蔚, 刘永利, 张林 2011 物理学报 60 063104 Google Scholar Song C F, Fan Q N, Li W, Liu Y L, Zhang L 2011 Acta Phys. Sin. 60 063104 Google Scholar
[36]	Tayson W R, Miller W A 1977 Surf. Sci. 62 267 Google Scholar
[37]	Aghemenloh E, Idiodi J O A, Azi S O 2009 Comput. Mater. Sci. 10 1016
[38]	姬德朋, 王绍青 2015 金属学报 51 597 Google Scholar Ji D P, Wang S Q 2015 Acta Metall. Sin. 51 597 Google Scholar
[39]	汤剑锋 2016 博士学位论文(长沙: 湖南大学) Tang J F 2016 Ph. D. Dissertation (Changsha: Hunan University) (in Chinese)
[40]	Lewis L J, Jensen P, Barrat J L 1997 Phys. Rev. B 56 2248 Google Scholar
[41]	Kofman R, Cheyssac P, Aouaj A, Lereah Y, Deutschera G, Ben-Davida T, Penissonc J M, Bourret A 1994 Surf. Sci. 303 231 Google Scholar
[42]	冯黛丽, 冯妍卉, 张欣欣 2013 物理学报 62 083602 Google Scholar Feng D L, Feng Y H, Zhang X X 2013 Acta Phys. Sin. 62 083602 Google Scholar
[43]	汪志刚, 吴亮, 张杨, 文玉华 2011 物理学报 60 096105 Wang Z G, Wu L, Zhang Y, Wen Y H 2011 Acta Phys. Sin. 60 096105
[44]	Zhang L, Sun H X 2010 Phys. Status. Solidi. A 207 1178 Google Scholar
[45]	Xu S N, Zhang L, Qi Y, Zhang C B 2010 Phys. B 405 632 Google Scholar

[1]	Guo Wei-Chen, Ai Bao-Quan, He Liang. Reveal flocking phase transition of self-propelled active particles by machine learning regression uncertainty. Acta Physica Sinica, 2023, 72(20): 200701. doi: 10.7498/aps.72.20230896
[2]	Feng Yan-Hui, Feng Dai-Li, Chu Fu-Qiang, Qiu Lin, Sun Fang-Yuan, Lin Lin, Zhang Xin-Xin. Thermal design frontiers of nano-assembled phase change materials for heat storage. Acta Physica Sinica, 2022, 71(1): 016501. doi: 10.7498/aps.71.20211776
[3]	Yin Cheng, Xu Tian, Chen Bing-Yan, Han Qing-Bang. Polarization characteristics of the lattice resonance of metal nanoparticle array. Acta Physica Sinica, 2015, 64(16): 164202. doi: 10.7498/aps.64.164202
[4]	Qian Ze-Yu, Zhang Lin. Atomical simulations of structural changes of a melted TiAl alloy particle on TiAl (001) substrate. Acta Physica Sinica, 2015, 64(24): 243103. doi: 10.7498/aps.64.243103
[5]	Lu Zhi-Peng, Zhu Wen-Jun, Lu Tie-Cheng, Meng Chuan-Min, Xu Liang, Li Xu-Hai. Structural phase transition of Ru at high pressure and temperature. Acta Physica Sinica, 2013, 62(17): 176402. doi: 10.7498/aps.62.176402
[6]	Pan Hao, Hu Xiao-Mian, Wu Zi-Hui, Dai Cheng-Da, Wu Qiang. Numerical study of shock-induced phase transformation of cerium under low pressure. Acta Physica Sinica, 2012, 61(20): 206401. doi: 10.7498/aps.61.206401
[7]	Zhang Yang, Song Xiao-Yan, Xu Wen-Wu, Zhang Zhe-Xu. Thermodynamic study and cellular automaton simulation of thermal stability of nanocrystalline SmCo7 alloy. Acta Physica Sinica, 2012, 61(1): 016102. doi: 10.7498/aps.61.016102
[8]	Shao Chen-Wei, Wang Zhen-Hua, Li Yan-Nan, Zhao Qian, Zhang Lin. Computational study on thermal stability of an AuCu249 alloy cluster on the atomic scale. Acta Physica Sinica, 2011, 60(8): 083602. doi: 10.7498/aps.60.083602
[9]	Wang Zhi-Gang, Wu Liang, Zhang Yang, Wen Yu-Hua. Phase transition and coalescence behavior of fcc Fe nanoparticles: a molecular dynamics study. Acta Physica Sinica, 2011, 60(9): 096105. doi: 10.7498/aps.60.096105
[10]	Ji Zheng-Hua, Zeng Xiang-Hua, Cen Jie-Ping, Tan Ming-Qiu. Electronic structure and phase transformation in ZnSe: An ab initio study. Acta Physica Sinica, 2010, 59(2): 1219-1224. doi: 10.7498/aps.59.1219
[11]	Wang Hui, Liu Jin-Fang, He Yan, Chen Wei, Wang Ying, Gerward L., Jiang Jian-Zhong. Size-induced enhancement of bulk modulus and transition pressure of nanocrystalline Ge. Acta Physica Sinica, 2007, 56(11): 6521-6525. doi: 10.7498/aps.56.6521
[12]	Cui Xin-Lin, Zhu Wen-Jun, Deng Xiao-Liang, Li Ying-Jun, He Hong-Liang. Molecular dynamic simulation of shock-induced phase transformation in single crystal iron with nano-void inclusion. Acta Physica Sinica, 2006, 55(10): 5545-5550. doi: 10.7498/aps.55.5545
[13]	Wang Zhen-Xia, Wang Sen, Hu Jian-Gang, Yu Guo-Jun. Preliminary structural study of multi-wall carbon nanotubes in a returning phase transition process. Acta Physica Sinica, 2005, 54(9): 4263-4268. doi: 10.7498/aps.54.4263
[14]	Zhang Ke-Yan. Phase transition speed research of metal material at laser irradiation medium strength. Acta Physica Sinica, 2004, 53(6): 1815-1819. doi: 10.7498/aps.53.1815
[15]	Zheng Xiao-Ping, Zhang Pei-Feng, Liu Jun, He De-Yan, Ma Jian-Tai. Computer simulation of thin-film epitaxy growth. Acta Physica Sinica, 2004, 53(8): 2687-2693. doi: 10.7498/aps.53.2687
[16]	Liu Rang-Su, Qin Shu-Ping, Hou Zhao-Yang, Chen Xiao-Ying, Liu Feng-Xiang. Simulation study of microstructure transition of liquid metal in during solidification processes. Acta Physica Sinica, 2004, 53(9): 3119-3124. doi: 10.7498/aps.53.3119
[17]	Hu Zhi-Hua, Liao Xian-Bo, Zeng Xiang-Bo, Xu Yan-Yue, Zhang Shi-Bin, Diao Hong-Wei, Kong Guang-Lin. Numerical simulation of nc-Si:H/ c-Si heterojunction solar cells. Acta Physica Sinica, 2003, 52(1): 217-224. doi: 10.7498/aps.52.217
[18]	Xu Bei-Xue, Wu Jin-Lei, Hou Shi-Min, Zhang Xi-Yao, Liu Wei-Min, Xue Zheng-Quan, Wu Quan-De. . Acta Physica Sinica, 2002, 51(7): 1649-1653. doi: 10.7498/aps.51.1649
[19]	YUAN JIAN, REN YONG, LIU FENG, SHAN XIU-MING. PHASE TRANSITION AND COLLECTIVE CORRELATION BEHAVIOR IN THE COMPLEX COMPUTER NETWORK. Acta Physica Sinica, 2001, 50(7): 1221-1225. doi: 10.7498/aps.50.1221
[20]	XU BEI-XUE, WU JUN-LEI, LIU WEI-MIN, YANY HAI, SHAO QING-YI, LIU SHENG, XUE ZENG-QUAN, WU QUAN-DE. ENHANCED PHOTOEMISSION FROM METAL NANOPARTICLE COMPOSITE THIN FILMS (Ag-BaO) DOPED WITH RARE-EARTH ELEMENTS . Acta Physica Sinica, 2001, 50(5): 977-980. doi: 10.7498/aps.50.977

Catalog

Vol. 68, Issue 16 - 2019-08-20

Metrics

Abstract views: 9045
PDF Downloads: 73
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