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研究生: 宋柏賢
Sung, Po-Hsien
論文名稱: 非晶態金屬薄膜作為擴散阻障層之材料特性分析
Material Property Analysis of Amorphous Metallic Thin Films as Diffusion Barrier Layer
指導教授: 陳鐵城
Chen, Tei-Chen
學位類別: 博士
Doctor
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2018
畢業學年度: 106
語文別: 英文
論文頁數: 142
中文關鍵詞: 非晶態金屬薄膜金屬玻璃薄膜銅銀鋯銅鎳鋁擴散阻障層分子動力學微凸塊金屬間化合物
外文關鍵詞: Amorphous metallic thin film, metallic glasses thin film, CuAg, ZrCuNiAl, diffusion barrier layer, molecular dynamics, microbump, Intermetallic Compond
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  • 銅因具有低電阻率及較佳的抗熱遷移及電遷移能力,所以被廣泛地應用作為內連線材料。然而,銅與作為凸塊的錫在迴焊製程會隨溫度及時間增加而產生銅錫金屬間化合物,若產生過多的金屬間化合物則會使得焊錫接點的可靠度變差。在現今的封裝產業中,為了防止銅迅速擴散進入焊錫凸塊而產生過多的金屬間化合物,會在銅導線與焊錫凸塊間加上一層鎳作為擴散阻障層。而隨著可攜式電子產品微小化的趨勢,覆晶封裝銲錫凸塊也須隨之縮小,使得金屬間化合物在整體銲錫凸塊的體積比例大幅增加。此外,銲錫接點所需承載的電流密度也逐漸提高,在高電流密度的影響下,覆晶銲錫凸塊因熱遷移與電遷移產生可靠度的議題更為重要。非晶態金屬薄膜因無晶界的存在,使得銅原子不易擴散進入其中,且不易與銅互溶和產生反應的特性,被認為是有效阻止銅金屬與錫凸塊擴散的阻障層材料。由於在奈米尺度下進行實驗所需的時間和成本可能會非常大,因此本文採用分子動力學分析CuAg和ZrCuNiAl非晶金屬薄膜的材料性質,包括非晶態金屬薄膜的玻璃轉化過程、成分比例與淬火速率對材料內部微結構影響、非晶態比例對於擴散性質的分析以及多晶與非晶界面的強度分析。結果表明,對於CuAg合金,Cu20Ag80在25 K/ps的淬火速率下呈現50%的非晶態,但Cu40Ag60和Cu60Ag40在淬火速率介於0.25 K/ps和25 K/ps之間下,非晶比例超過95%,顯然它具有良好的玻璃形成能力。而就擴散方面而言,較高非晶比例的金屬其阻障效果也愈好。而在界面拉伸試驗中,由四種元素混合組成的ZrCuNiAl合金,在拉伸的過程中幾乎沒有應變產生,而空孔及缺陷幾乎是在多晶銅上會產生,這表明ZrCuNiAl / Cu界面的強度大於多晶銅。 從實驗結果可以看出,採用Zr53Cu30Ni9Al8 TFMG阻障層的試片,即使在125℃下經過500小時後也幾乎觀察不到IMC,這表明它具有良好的阻隔效果。

    Copper has been widely used as an interconnect material due to its lower electrical resistivity and better thermomigration and electromigration resistance. However, as temperature and time increase during reflow process, Cu-Sn intermetallic compound gradually produced, excessive intermetallic compounds can result in poor reliability of solder bump. In the current , Ni as an barrier layer has been widely studied and industrially accepted in order to inhibit rapid copper diffusion in interconnect structures. The proportion of intermetallic compound ratio in the solder bumps will be increased due to the shrinking of package devices. In addition, the current density in the solder bump needs to be increased, under such high current density, the thermomigrtion and electromigration in the solder bump becomes a serious reliability issue . Amorphous metallic films have been considered to be the most effective barriers layer for Cu metallization due to the absence of grain boundaries and immiscibility with copper. The time and cost required for nano-scale experimant may be exceedingly large, and for this reason molecular dynamics have been used to analyze the material properties of CuAg and ZrCuNiAl amorphous metal films in this study, including the glass transition process of amorphous metal films, the effect of composition ratio and quenching rate on the internal microstructure of amorphous metal films, diffusion Properties and the strength of the interface between polycrystalline and amorphous thin film. The results show for CuAg alloys, Cu20Ag80 present 50% amorphous at quenching rate of 25 K/ps, but Cu40Ag60 and Cu60Ag40 present more than 95% of the amorphous at quenching rate Between 0.25 K/ps and 25 K/ps, which indicates that it has a good glass forming ability. For the diffusion side, the better barrier performance with heigher of the amorphous ratio. For the interfacial tensile test, the ZrCuNiAl alloys which consist of four elements mixed together, almost no strain occurs during tensile, and the initial void will be generated at polycrystal Cu, which indicates the strength of ZrCuNiAl/Cu interface is greater than polycrystal Cu. From the experiment, the sample with the Zr53Cu30Ni9Al8 TFMG barrier layer, almost no IMC can be observed even after aging at 125°C for 500 hr, which indicates that it has a good barrier effect.

    摘要 (Abstract in Chinese) I Abstract II 誌謝(Acknowledgments) IV Table of Contents VI List of Tables IX List of Figures X Nomenclature XIV Chapter 1 Introduction 1 1.1 Introduction of IC packaging 1 1.2 Introduction of flip chip packaging 2 1.3 Motivation 5 Chapter 2 Background and Literature Review 10 2.1 History of metallic glasses 10 2.2 Methods to fabricate amorphous alloys 14 2.3 The forming condition of metallic glasses 15 2.3.1 Indexes of glass forming ability 15 2.3.2 Empirical rules for the formation of amorphous alloys 16 2.4 Characterization and applications of amorphous alloys 17 2.5 Diffusion barrier layer 21 Chapter 3 Background of Molecular Dynamics Simulation 25 3.1 The fundamentals of molecular dynamics 25 3.2 Intermolecular force and potential function 26 3.2.1 Bonding forces and energies 26 3.2.2 Interatomic bonding 28 3.2.3 Potential function 29 3.3 Initialization 31 3.3.1 Initial position 31 3.3.2 Initial velocity 31 3.5 List method and cut-off radius 34 3.5.1 Verlet neighbor lists 34 3.5.2 Cell link neighbor lists 37 3.6 Boundary condition 38 3.6.1 Periodic boundary condition 38 3.6.2 Minimum-image criterion 40 3.7 Radial distribution function, RDF 42 3.8 Atomic stress and strain 42 3.9 Honeycutt-Anderson bond pair analysis 43 3.10 Mean-square displacement 47 3.11 Simulation detail and parameters 47 3.11.1 Amorphous geometry structure 47 3.11.2 Procedure for interface model preparation 48 3.11.3 Procedure for mold-I deformation 49 Chapter 4 Results and Discussion 54 4.1 Validation of MD simulation 54 4.2 Cu-Ag system alloy via MD simulation 59 4.2.1 Glass transition 59 4.2.2 Radial distribution function 62 4.2.3 Glass forming ability 68 4.2.4 Honeycutt-Anderson bond pair analysis 71 4.2.5 Diffusion between CuAg and Cu 79 4.2.6 Tensile behavior 89 4.3 Zr-Cu-Ni-Al system alloy via MD simulation 92 4.3.1 Glass transition 92 4.3.2 Radial distribution function 94 4.3.3 Honeycutt-Anderson bond pair analysis 97 4.3.4 Diffusion between CuAg and Cu 101 4.3.5 Tensile behavior 106 4.4 Mechanical properties analysis for 2.5D IC via FEM simulation 109 4.4.1 FEM simulation detail and parameters 109 4.4.2 Warpage and stress performance of 2.5D IC package 114 4.5 Diffusion behavior of Cu/Sn interface via experiment 117 4.5.1 Sample preparations 117 4.5.2 IMC formation with different barrier layer 120 Chapter 5 Conclusions and Future Works 124 5.1 Conclusions 124 5.2 Future Works 125 References 126 Publication list 139 Appendix 142 VITA 143

    [1] L. C. Liu, “Electromigration test on void formation and failure mechanism of FCBGA lead-free solder joints.” Kaohsiung: National Sun Yat-Sen University, 2009.
    [2] M. H. R. Jen, L. C. Liu, and Y. S. Lai, "Electromigration test on void formation and failure mechanism of FCBGA lead-free solder joints," IEEE Transactions on Components and Packaging Technologies, vol. 32, pp. 79-88, 2009.
    [3] E. Rymaszewski, J. Walsh, and G. Leehan, "Semiconductor logic technology in IBM," IBM Journal of Research and Development, vol. 25, pp. 603-616, 1981.
    [4] Z. Zhang and C. Wong, "Recent advances in flip-chip underfill: materials, process, and reliability," IEEE transactions on advanced packaging, vol. 27, pp. 515-524, 2004.
    [5] V. Z. Peter, "Microchip Fabrication," ed: McGraw-Hill Professional, 2004.
    [6] C. C. Lee, C. Hung, C. Cheung, P. F. Yang, C. L. Kao, D. L. Chen, et al., "An overview of the development of a GPU with integrated HBM on silicon interposer," in Electronic Components and Technology Conference (ECTC), 2016 IEEE 66th, 2016, pp. 1439-1444.
    [7] S. P. Murarka, "Multilevel interconnections for ULSI and GSI era," Materials Science and Engineering: R: Reports, vol. 19, pp. 87-151, 1997.
    [8] K. N. Chiang, C. C. Lee, C. C. Lee, and K. M. Chen, "Current crowding-induced electromigration in Sn Ag 3.0 Cu 0.5 microbumps," Applied Physics Letters, vol. 88, pp. 072102, 2006.
    [9] Y. Liu, M. Li, D. W. Kim, S. Gu, and K. Tu, "Synergistic effect of electromigration and Joule heating on system level weak-link failure in 2.5 D integrated circuits," Journal of Applied Physics, vol. 118, pp. 135304, 2015.
    [10] M. Li, K. Tu, D. W. Kim, and S. Gu, "Electromigration induced thermomigration in microbumps by thermal cross-talk across neighboring chips in 2.5 D IC," in Reliability Physics Symposium (IRPS), 2016 IEEE International, 2016, pp. PA-3-1-PA-3-4.
    [11] M. Li, D. W. Kim, S. Gu, D. Y. Parkinson, H. Barnard, and K. Tu, "Joule heating induced thermomigration failure in un-powered microbumps due to thermal crosstalk in 2.5 D IC technology," Journal of Applied Physics, vol. 120, pp. 075105, 2016.
    [12] B. Chao, S. H. Chae, X. Zhang, K.-H. Lu, J. Im, and P. S. Ho, "Investigation of diffusion and electromigration parameters for Cu–Sn intermetallic compounds in Pb-free solders using simulated annealing," Acta Materialia, vol. 55, pp. 2805-2814, 2007.
    [13] W. L. Johnson, "Bulk glass-forming metallic alloys: Science and technology," MRS bulletin, vol. 24, pp. 42-56, 1999.
    [14] A. C. Lund and C. A. Schuh, "Topological and chemical arrangement of binary alloys during severe deformation," Journal of Applied Physics, vol. 95, pp. 4815-4822, 2004.
    [15] A. Inoue, "Stabilization of metallic supercooled liquid and bulk amorphous alloys," Acta Materialia, vol. 48, pp. 279-306, 2000.
    [16] W. K. Jun, R. Willens, and P. Duwez, "Non-crystalline structure in solidified gold–silicon alloys," Nature, vol. 187, pp. 869, 1960.
    [17] C. Indulkar, An introduction to electrical engineering materials: S. Chand Publishing, 2008.
    [18] H. Chen and C. Miller, "A rapid quenching technique for the preparation of thin uniform films of amorphous solids," Review of Scientific Instruments, vol. 41, pp. 1237-1238, 1970.
    [19] H. Chen, "Thermodynamic considerations on the formation and stability of metallic glasses," Acta Metallurgica, vol. 22, pp. 1505-1511, 1974.
    [20] H. Chen, J. Krause, and E. Sigety, "Thermal expansion and density of glassy Pd Ni P and Pt Ni P alloys," Journal of Non-Crystalline Solids, vol. 13, pp. 321-327, 1974.
    [21] H. Liebermann and C. Graham, "Production of amorphous alloy ribbons and effects of apparatus parameters on ribbon dimensions," IEEE Transactions on Magnetics, vol. 12, pp. 921-923, 1976.
    [22] L. Madarász and J. Živčák, Aspects of Computational Intelligence: Theory and Applications: Revised and Selected Papers of the 15th IEEE International Conference on Intelligent Engineering Systems 2011, INES 2011 vol. 2: Springer Science & Business Media, 2012.
    [23] A. Drehman, A. Greer, and D. Turnbull, "Bulk formation of a metallic glass: Pd40Ni40P20," Applied Physics Letters, vol. 41, pp. 716-717, 1982.
    [24] A. Inoue, T. Zhang, and T. Masumoto, "Al–La–Ni amorphous alloys with a wide supercooled liquid region," Materials Transactions, JIM, vol. 30, pp. 965-972, 1989.
    [25] A. Inoue, T. Zhang, and T. Masumoto, "Zr–Al–Ni amorphous alloys with high glass transition temperature and significant supercooled liquid region," Materials Transactions, JIM, vol. 31, pp. 177-183, 1990.
    [26] A. Inoue, K. Kita, T. Zhang, and T. Masumoto, "An amorphous La55Al25Ni20 alloy prepared by water quenching," Materials Transactions, JIM, vol. 30, pp. 722-725, 1989.
    [27] Z. Lü, Y. Li, S. Ng, Y. Feng, and K. Lu, "Study of glass transition and crystallization in four metallic glasses using temperature modulated DSC," 1999.
    [28] H. Bruck, T. Christman, A. Rosakis, and W. Johnson, "Quasi-static constitutive behavior of Zr41.25Ti13.75Ni10Cu12.5Be22.5 bulk amorphous alloys," Scripta Metallurgica et Materialia, vol. 30, pp. 429-434, 1994.
    [29] P. A. Hess, S. J. Poon, G. Shiflet, and R. H. Dauskardt, "Indentation fracture toughness of amorphous steel," Journal of Materials Research, vol. 20, pp. 783-786, 2005.
    [30] V. Ponnambalam, S. J. Poon, and G. J. Shiflet, "Fe-based bulk metallic glasses with diameter thickness larger than one centimeter," Journal of Materials Research, vol. 19, pp. 1320-1323, 2004.
    [31] F. Ren, L. Ward, T. Williams, K. J. Laws, C. Wolverton, J. Hattrick-Simpers, et al., "Accelerated discovery of metallic glasses through iteration of machine learning and high-throughput experiments," Science Advances, vol. 4, pp. eaaq1566, 2018.
    [32] M. I. Ojovan and W. B. E. Lee, "Connectivity and glass transition in disordered oxide systems," Journal of Non-Crystalline Solids, vol. 356, pp. 2534-2540, 2010.
    [33] K. Chopra, "Thin Film Phenomena (1985)," ed: McGraw-Hill, New York, USA, 1969.
    [34] P. Grant, "Spray forming," Progress in Materials Science, vol. 39, pp. 497-545, 1995.
    [35] B. Li, N. Nordstrom, and E. Lavernia, "Spray forming of Zircaloy-4," Materials Science and Engineering: A, vol. 237, pp. 207-215, 1997.
    [36] P. Hsieh, Y. Lo, J. Huang, and S. Ju, "On the latest stage of transformation from nanocrystalline to amorphous phases during ARB: Simulation and experiment," Intermetallics, vol. 14, pp. 924-930, 2006.
    [37] P. Hsieh, Y. Lo, C. Wang, J. Huang, and S. Ju, "Cyclic transformation between nanocrystalline and amorphous phases in Zr based intermetallic alloys during ARB," Intermetallics, vol. 15, pp. 644-651, 2007.
    [38] Y. Lo, J. Huang, S. Ju, and X. Du, "Atomic structure evolution of Zr-Ni during severe deformation by HA pair analysis," Physical Review B, vol. 76, pp. 024103, 2007.
    [39] Y. Lo, J. Huang, and S. Ju, "Atomic structure evolution of Zr–Ti and pure Zr during accumulated roll bonding by HA pair analysis," Materials Chemistry and Physics, vol. 112, pp. 466-471, 2008.
    [40] Z. Yan, J. Li, S. He, and Y. Zhou, "Evaluation of the optimum solute concentration for good glass forming ability in multicomponent metallic glasses," Materials Research Bulletin, vol. 38, pp. 681-689, 2003.
    [41] X. Xiao, S. Fang, L. Xia, W. Li, Q. Hua, and Y. Dong, "Thermal and mechanical properties of Zr52. 5Al10Ni10Cu15Be12. 5 bulk metallic glass," Journal of Alloys and Compounds, vol. 351, pp. 324-328, 2003.
    [42] O. Senkov and D. Miracle, "Effect of the atomic size distribution on glass forming ability of amorphous metallic alloys," Materials Research Bulletin, vol. 36, pp. 2183-2198, 2001.
    [43] Z. Lu, C. Liu, and Y. Dong, "Effects of atomic bonding nature and size mismatch on thermal stability and glass-forming ability of bulk metallic glasses," Journal of Non-Crystalline Solids, vol. 341, pp. 93-100, 2004.
    [44] A. Hrubý, "Evaluation of glass-forming tendency by means of DTA," Czechoslovak Journal of Physics B, vol. 22, pp. 1187-1193, 1972.
    [45] I. Donald and H. Davies, "Prediction of glass-forming ability for metallic systems," Journal of Non-Crystalline Solids, vol. 30, pp. 77-85, 1978.
    [46] K. Mondal and B. Murty, "On the parameters to assess the glass forming ability of liquids," Journal of Non-Crystalline Solids, vol. 351, pp. 1366-1371, 2005.
    [47] T. Egami, "Universal criterion for metallic glass formation," Materials Science and Engineering: A, vol. 226, pp. 261-267, 1997.
    [48] D. Miracle and O. Senkov, "A geometric model for atomic configurations in amorphous Al alloys," Journal of Non-Crystalline Solids, vol. 319, pp. 174-191, 2003.
    [49] O. Senkov, D. Miracle, and H. Mullens, "Topological criteria for amorphization based on a thermodynamic approach," Journal of Applied Physics, vol. 97, pp. 103502, 2005.
    [50] T. Hung, Y. Chang, Y. Wang, C. Tang, J. Kuo, H. Chen, et al., "Special issue on bulk metallic glasses--selected papers from the fifth international conference on bulk metallic glasses (BMGV)-processing and alloy search-development of mg based amorphous," Materials Transactions-JIM, vol. 48, pp. 1621-1625, 2007.
    [51] C. Shek, Y. Wang, and C. Dong, "The e/a-constant Hume–Rothery phases in an as-cast Zr65Al7.5Ni10Cu17.5 alloy," Materials Science and Engineering: A, vol. 291, pp. 78-85, 2000.
    [52] Y. Wang, W. Xu, J. Qiang, C. Wong, C. Shek, and C. Dong, "The e/a criterion of Zr-based bulk metallic glasses," Materials Science and Engineering. A, Structural Materials: Properties, Microstructure and Processing, vol. 375, pp. 411-416, 2004.
    [53] S. Fang, X. Xiao, L. Xia, W. Li, and Y. Dong, "Relationship between the widths of supercooled liquid regions and bond parameters of Mg-based bulk metallic glasses," Journal of Non-Crystalline Solids, vol. 321, pp. 120-125, 2003.
    [54] M. Iqbal, W. Sun, H. Zhang, J. Akhter, and Z. Hu, "Effect of additional elements on mechanical properties of a specially constituted Zr-based alloy," Materials Science and Engineering: A, vol. 447, pp. 167-173, 2007.
    [55] S. Azad, A. Mandal, and R. Mandal, "On the parameters of glass formation in metallic systems," Materials Science and Engineering: A, vol. 458, pp. 348-354, 2007.
    [56] Z. Lu, Y. Li, and S. Ng, "Reduced glass transition temperature and glass forming ability of bulk glass forming alloys," Journal of Non-Crystalline Solids, vol. 270, pp. 103-114, 2000.
    [57] Z. Lu, H. Tan, S. Ng, and Y. Li, "The correlation between reduced glass transition temperature and glass forming ability of bulk metallic glasses," Scripta Materialia, vol. 42, pp. 667-673, 2000.
    [58] A. Inoue, Bulk amorphous alloys: practical characteristics and applications vol. 6: Trans Tech Publication, 1999.
    [59] R. Abbaschian and R. E. Reed-Hill, Physical metallurgy principles: Cengage Learning, 2008.
    [60] M. M. Trexler and N. N. Thadhani, "Mechanical properties of bulk metallic glasses," Progress in Materials Science, vol. 55, pp. 759-839, 2010.
    [61] C. W. Wang, P. Yiu, J. P. Chu, C.-H. Shek, and C. H. Hsueh, "Zr–Ti–Ni thin film metallic glass as a diffusion barrier between copper and silicon," Journal of Materials Science, vol. 50, pp. 2085-2092, 2015.
    [62] K. L. Ou, W. F. Wu, C. P. Chou, S.-Y. Chiou, and C. C. Wu, "Improved TaN barrier layer against Cu diffusion by formation of an amorphous layer using plasma treatment," Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena, vol. 20, pp. 2154-2161, 2002.
    [63] N. Iwamoto, N. Truong, and E. Lee, "New metal layers for integrated circuit manufacture: experimental and modeling studies," Thin Solid Films, vol. 469, pp. 431-437, 2004.
    [64] H. Yan, Y. Tay, M. Liang, Z. Chen, C. Ng, J. Pan, et al., "Amorphous metallic thin films as copper diffusion barrier for advanced interconnect applications," in Electronics Packaging Technology Conference, 2009. EPTC'09. 11th, 2009, pp. 567-572.
    [65] H. Yan, Y. Y. Tay, Y. Jiang, N. Yantara, J. Pan, M. H. Liang, et al., "Copper diffusion barrier performance of amorphous Ta–Ni thin films," Applied Surface Science, vol. 258, pp. 3158-3162, 2012.
    [66] M.-A. Nicolet, "Diffusion barriers in thin films," Thin Solid Films, vol. 52, pp. 415-443, 1978.
    [67] W. Diyatmika, J. P. Chu, Y. Yen, and C. Hsueh, "Sn whisker mitigation by a thin metallic-glass underlayer in Cu-Sn," Applied Physics Letters, vol. 103, pp. 241912, 2013.
    [68] Y. Wu, J. A. Sees, C. Pouraghabagher, L. A. Foster, J. L. Marshall, E. G. Jacobs, et al., "The formation and growth of intermetallics in composite solder," Journal of Electronic Materials, vol. 22, pp. 769-777, 1993.
    [69] W. Diyatmika, J. Chu, Y. Yen, W. Chang, and C. Hsueh, "Thin film metallic glass as an underlayer for tin whisker mitigation: A room-temperature evaluation," Thin Solid Films, vol. 561, pp. 93-97, 2014.
    [70] J. Haile, "Molecular dynamics simulation-elementary methods, John Willey & Sons," Inc., New York, 1992.
    [71] J. Irving and J. G. Kirkwood, "The statistical mechanical theory of transport processes. IV. The equations of hydrodynamics," The Journal of Chemical Physics, vol. 18, pp. 817-829, 1950.
    [72] C. W. D Jr, "Materials science and engineering: an introduction," John Wiley & Sons. Inc.–New York, USA, 2007.
    [73] J. E. Jones, "On the determination of molecular fields.—II. From the equation of state of a gas," Proc. R. Soc. Lond. A, vol. 106, pp. 463-477, 1924.
    [74] P. M. Morse, "Diatomic molecules according to the wave mechanics. II. Vibrational levels," Physical Review, vol. 34, pp. 57, 1929.
    [75] M. S. Daw and M. I. Baskes, "Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals," Physical Review B, vol. 29, pp. 6443, 1984.
    [76] C. D. Wu, " Study on nanoimprint process by multi-particle method and molecular dynamics," Tainan: National Cheng Kung University, 2008.
    [77] A. Rahman, "Correlations in the motion of atoms in liquid argon," Physical Review, vol. 136, pp. A405, 1964.
    [78] N. Miyazaki and Y. Shiozaki, "Calculation of mechanical properties of solids using molecular dynamics method," JSME International Journal. Ser. A, Mechanics and Material Engineering, vol. 39, pp. 606-612, 1996.
    [79] S. Plimpton, "LAMMPS user’s manual," Sandia National Laboratory, 2005.
    [80] F. Shimizu, S. Ogata, and J. Li, "Theory of shear banding in metallic glasses and molecular dynamics calculations," Materials Transactions, vol. 48, pp. 2923-2927, 2007.
    [81] J. Honeycutt, "Andersen HC," J. Phys. Chem., vol. 1987, pp. 91, 1987.
    [82] H. Fang, X. Hui, G. Chen, R. Öttking, Y. Liu, J. Schaefer, et al., "Ab initio molecular dynamics simulation for structural transition of Zr during rapid quenching processes," Computational Materials Science, vol. 43, pp. 1123-1129, 2008.
    [83] Y. Wang, "Structure evolution, diffusivity and viscosity of binary Al-based and Ni-based metal melts: Ab initio molecular dynamics study," 2012.
    [84] F. Chen, H. Zhang, F. Qin, and Z. Hu, "Molecular dynamics study of atomic transport properties in rapidly cooling liquid copper," The Journal of Chemical Physics, vol. 120, pp. 1826-1831, 2004.
    [85] Y. Zhu, X. Liao, and R. Valiev, "Formation mechanism of fivefold deformation twins in nanocrystalline face-centered-cubic metals," Applied Physics Letters, vol. 86, pp. 103112, 2005.
    [86] J. Liu, J. Zhao, and Z. Hu, "The development of microstructure in a rapidly solidified Cu," Materials Science and Engineering: A, vol. 452, pp. 103-109, 2007.
    [87] M. Meunier, "Diffusion coefficients of small gas molecules in amorphous cis-1, 4-polybutadiene estimated by molecular dynamics simulations," The Journal of Chemical Physics, vol. 123, pp. 134906, 2005.
    [88] S. Plimpton, "Fast parallel algorithms for short-range molecular dynamics," Journal of Computational Physics, vol. 117, pp. 1-19, 1995.
    [89] A. Stukowski, "Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool," Modelling and Simulation in Materials Science and Engineering, vol. 18, pp. 015012, 2009
    [90] P. Gupta, S. Pal, and N. Yedla, "Molecular dynamics based cohesive zone modeling of Al (metal)–Cu50Zr50 (metallic glass) interfacial mechanical behavior and investigation of dissipative mechanisms," Materials & Design, vol. 105, pp. 41-50, 2016.
    [91] C. Barrett and T. Massalski, "Structure of metals: Chap. 10," New York: McGraw-Hill. BRAFMAN, O. STEINBERGER, IT (1966). Phys. Rev, vol. 143, pp. 342, 1966.
    [92] S. M. Rassoulinejad-Mousavi, Y. Mao, and Y. Zhang, "Evaluation of copper, aluminum, and nickel interatomic potentials on predicting the elastic properties," Journal of Applied Physics, vol. 119, pp. 244304, 2016.
    [93] P. Mohazzabi, "Temperature dependence of the elastic constants of copper, gold and silver," Journal of Physics and Chemistry of Solids, vol. 46, pp. 147-150, 1985.
    [94] L. Qi, H. Zhang, and Z. Hu, "Molecular dynamic simulation of glass formation in binary liquid metal: Cu–Ag using EAM," Intermetallics, vol. 12, pp. 1191-1195, 2004.
    [95] Y. Qi, T. Çağın, Y. Kimura, and W. A. Goddard III, "Molecular-dynamics simulations of glass formation and crystallization in binary liquid metals: Cu-Ag and Cu-Ni," Physical Review B, vol. 59, pp. 3527, 1999.
    [96] R. Zallen, The physics of amorphous solids: John Wiley & Sons, 2008.
    [97] M. H. Cohen and G. Grest, "Liquid-glass transition, a free-volume approach," Physical Review B, vol. 20, pp. 1077, 1979.
    [98] L. Rangsu, L. Jiyong, D. Kejun, Z. Caixing, and L. Hairong, "Formation and evolution properties of clusters in a large liquid metal system during rapid cooling processes," Materials Science and Engineering: B, vol. 94, pp. 141-148, 2002.
    [99] K. Dong, R. Liu, A. Yu, R. Zou, and J. Li, "Simulation study of the evolution mechanisms of clusters in a large-scale liquid Al system during rapid cooling processes," Journal of Physics: Condensed Matter, vol. 15, pp. 743, 2003.
    [100] R. S. Liu, K. J. Dong, J. Y. Li, A. B. Yu, and R. pp. Zou, "Formation and description of nano-clusters formed during rapid solidification processes in liquid metals," Journal of Non-Crystalline Solids, vol. 351, pp. 612-617, 2005.
    [101] R. S. Liu, K. J. Dong, Z. A. Tian, H. R. Liu, P. Peng, and A. B. Yu, "Formation and magic number characteristics of clusters formed during solidification processes," Journal of Physics: Condensed Matter, vol. 19, pp. 196103, 2007.
    [102] H. R. Liu, R. S. Liu, A. L. Zhang, Z. Y. Hou, X. Wang, Z. A. Tian, "A simulation study of microstructure evolution during solidification process of liquid metal Ni," Chinese Physics, vol. 16, pp. 3747, 2007.
    [103] S. Chen, A. Soh, and F. Ke, "Molecular dynamics modeling of diffusion bonding," Scripta Materialia, vol. 52, pp. 1135-1140, 2005.
    [104] F. Faupel, W. Frank, M.-P. Macht, H. Mehrer, V. Naundorf, K. Rätzke, et al., "Diffusion in metallic glasses and supercooled melts," Reviews of Modern Physics, vol. 75, pp. 237, 2003.
    [105] J. T. Edward, "Molecular volumes and the Stokes-Einstein equation," Journal of Chemical Education, vol. 47, pp. 261, 1970.
    [106] S. P. Ju, T. Y. Wu, and S. H. Liu, "Mechanical and dynamical behaviors of ZrSi and ZrSi2 bulk metallic glasses: A molecular dynamics study," Journal of Applied Physics, vol. 117, pp. 105103, 2015.
    [107] T. Todorov and A. Sutton, "Force and conductance jumps in atomic-scale metallic contacts," Physical Review B, vol. 54, pp. R14234, 1996.
    [108] V. Yamakov, D. Wolf, S. R. Phillpot, A. K. Mukherjee, and H. Gleiter, "Dislocation processes in the deformation of nanocrystalline aluminium by molecular-dynamics simulation," Nature Materials, vol. 1, pp. 45, 2002.
    [109] Y. Cheng and E. Ma, "Atomic-level structure and structure–property relationship in metallic glasses," Progress in Materials Science, vol. 56, pp. 379-473, 2011.
    [110] Y. Shi and M. L. Falk, "Strain localization and percolation of stable structure in amorphous solids," Physical Review Letters, vol. 95, pp. 095502, 2005.
    [111] F. Albano, N. Lacevic, M. L. Falk, and S. C. Glotzer, "Relating metallic glass mechanical properties to liquid structure," Materials Science and Engineering: A, vol. 375, pp. 671-674, 2004.
    [112] Y. Chang, K. Hsu, J. Li, P. Tsai, J. Jang, and J. Huang, "Effect of cast process and microalloying on the fracture toughness of Zr-based bulk amorphous alloys," Journal of Alloys and Compounds, vol. 614, pp. 87-93, 2014.
    [113] J. S. Jang, S. Jian, C. Chang, L. Chang, Y. Huang, T. Li, et al., "Thermal and mechanical properties of the Zr53Cu30Ni9Al8 based bulk metallic glass microalloyed with silicon," Journal of Alloys and Compounds, vol. 478, pp. 215-219, 2009.
    [114] H. Kato, H. S. Chen, and A. Inoue, "Relationship between thermal expansion coefficient and glass transition temperature in metallic glasses," Scripta Materialia, vol. 58, pp. 1106-1109, 2008.
    [115] T. Fukami, H. Yamamoto, S. Sonobe, D. Okai, T. Yamasaki, T. Zhang, et al., "Temperature dependence of linear expansion coefficient in metallic glass Zr-Al-Cu-Ni," Journal of Metastable and Nanocrystalline Materials, vol. 24, pp. 487, 2005.
    [116] H. L. Chen, S. P. Ju, T. Y. Wu, S. H. Liu, and H. T. Chen, "Investigation of the mechanical properties and local structural evolution of Ti60Zr10Ta15Si15 bulk metallic glass during tensile deformation: a molecular dynamics study," RSC Advances, vol. 5, pp. 55383-55395, 2015.
    [117] R. Fields, "Physical and mechanical properties of intermetallic compounds commonly found in solder joints," http://www.metallurgy.nist. gov/mechanical_properties/solder_paper. html, 2002.

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