| 研究生: |
陳弈先 Chen, I-Hsien |
|---|---|
| 論文名稱: |
以分子動力學模擬研究探針種類在奈米壓痕中對差排成核與缺陷結構之影響 Study of Dislocation Nucleation and Defect Structure in Nano-indentation of Metals by Molecular Dynamics Simulations – Effect of Tip Shape |
| 指導教授: |
許文東
Hsu, Wen-Dung |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 材料科學及工程學系 Department of Materials Science and Engineering |
| 論文出版年: | 2011 |
| 畢業學年度: | 99 |
| 語文別: | 中文 |
| 論文頁數: | 171 |
| 中文關鍵詞: | 分子動力學 、奈米壓痕 、差排 、成核 、缺陷結構 |
| 外文關鍵詞: | Molecular Dynamics Simulation, Nano-indentation, Dislocation, Nucleation, Defect Structure |
| 相關次數: | 點閱:122 下載:2 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
近年來各種機電元件均趨於微型化,由於金屬在這些元件中大多扮演傳輸電子的角色,能夠快速又穩定的傳輸電子在各個元件之間對於整體電子產品的穩定性與可靠度有很大的影響。為瞭解這些微型化元件的性能與功能,奈米技術已成為當前研究的主流,而相關的研究課題和技術應用,也隨之出現。
奈米壓痕量測(Nanoindentation)技術可說是當下檢測奈米級材料最可信也是最有效的方法,利用此種技術可以量測材料在奈微米尺度之領域的基本機械性質例如薄膜的彈性模數(Young’s modulus)、硬度(Hardness)、潛變(Creep)等。但在奈米壓痕量測中,直接量得的數據是負載¬深度曲線,必須經過特定的轉換方法才能得到我們所需的機械性質,而在奈米尺度下,這樣的轉換機制並不明確,所以在奈米壓痕量測與機械性質之間的轉換仍存在許多尚待研究與探討的空間。
本實驗以分子動力學模擬各種探針在不同結晶面的基板壓痕的過程,藉此觀察壓痕過程中基板接觸形變的情況,並探討其內部差排產生的機制與差排的運動情形,最後希望可以了解在奈米尺度下奈米壓痕量測與機械性質轉換之間的關係。
而本實驗發現,在不同探針與基板的模擬情況中,探針形狀的不同只會影響差排圖案啟動的時間先後。而影響差排種類不同的原因來自於基板原子排列與探針原子排列的不同,這樣的差異則會影響壓痕過程中缺陷的結構,使得負載¬深度曲線呈現不同的特徵。由於在巨觀的壓痕實驗中,計算基板物理性質的考量因素往往只有探針的形狀以及接觸面積,當實驗的尺度漸漸小至奈米尺度之後,也必須將探針與基板的原子排列情形列入考慮的因素之中,藉此可以得到更精準的轉換數據。
In recent years, a variety of mechanical and electrical components are miniaturized. As metals play the most important role of these components due to the electronic transmission. The fast and stable transmission of electrons makes large effect in stability and reliability of these various components. To understand the performance of these miniaturized components and functions, nanotechnology has become the mainstream of current research.
Nanoindentation measurements technology can be the most trusted and most effective way to measure the mechanical physical properties of metals such as film elastic modulus (Young's modulus), hardness, creep and so on. However, in nanoindentation measurement, there are specific conversion methods to get the required mechanical and physical properties. In present, such conversion methods are not clear, so there are still many problems to solve.
In the thesis, we use MD simulation to simulate different probes and substrates interaction in nanoindentation, in order to observe the substrate deformation situation. In that way, we will investigate the internal mechanism of dislocation nucleation and movement. By doing so, we hope to understand the conversion relationship between the nanoindentation and the mechanical properties in nano-scale.
We found that the difference of probe shape will only affect the time that the dislocation patterns start to growth and the depth of the dislocation patterns. The factor to affect the types of the dislocation patterns are the atomic arrangement of the probe and the substrate and the different types of dislocation patterns will affect the mechanical properties of the substrate. In recent conversion methods, we usually take probe shape and contact area into consideration to get the mechanical properties. When the size shrinks down to nano-scale, however, we should take the atomic arrangement of the probe and the substrate into consideration to get the precise conversion.
[1]C. S. Hau-Riege, "An introduction to Cu electromigration," Microelectronics Reliability, vol. 44, pp. 195-205, 2004.
[2]K. N. Tu, "Recent advances on electromigration in very-large-scale-integration of interconnects," Journal of Applied Physics, vol. 94, p. 5451, 2003.
[3]W.-W. W. Kuan-Chia Chen, * Chien-Neng Liao, † Lih-Juann Chen, K. N. Tu "Observation of Atomic Diffusion at Twin-Modified GrainBoundaries in Copper," Science, vol. 321, p. 4, 2008.
[4]"http://www.research.ibm.com/nanoscience/manipulation.html ".
[5]T. Hertel, et al., "Manipulation of Individual Carbon Nanotubes and Their Interaction with Surfaces," The Journal of Physical Chemistry B, vol. 102, pp. 910-915, 1998.
[6]R. S. a. A. R. David Christopher, "Atomistic simulations of the nanometer-scale indentation," Nanotechnology, vol. 12, pp. 372-383, 2001.
[7]U. Landman, et al., "Atomistic mechanisms and dynamics of adhesion, nanoindentation, and fracture," Science, vol. 248, pp. 454-461, 1990.
[8]W. G. Hoover, et al., "Large-scale elastic-plastic indentation simulations via nonequilibrium molecular dynamics," Physical Review A, vol. 42, p. 5844, 1990.
[9]B. L. Holian, et al., "Effects of pairwise versus many-body forces on high-stress plastic deformation," Physical Review A, vol. 43, p. 2655, 1991.
[10]J. S. Kallman, et al., "Molecular dynamics of silicon indentation," Physical Review B, vol. 47, p. 7705, 1993.
[11]J. A. Harrison, et al., "Nanoscale investigation of indentation, adhesion and fracture of diamond (111) surfaces," Surface Science, vol. 271, pp. 57-67, 1992.
[12]J. A. Harrison, et al., "Molecular-dynamics simulations of atomic-scale friction of diamond surfaces," Physical Review B, vol. 46, p. 9700, 1992.
[13]R. J. C. S.B. Sinnott, C.T. White, O.A. Shenderova, D.W. Brenner and J.A. Harrison, "Atomistic simulations of the nanometer-scale indentation," J Vac Sci Tech A, vol. 15, pp. 936–940, 1997.
[14]A. Garg and S. B. Sinnott, "Molecular dynamics of carbon nanotubule proximal probe tip-surface contacts," Physical Review B, vol. 60, p. 13786, 1999.
[15]D. W. Brenner, et al., "A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons," Journal of Physics Condensed Matter, vol. 14, pp. 783-802, 2002.
[16]C. L. Kelchner, et al., "Dislocation nucleation and defect structure during surface indentation," Physical Review B, vol. 58, p. 11085, 1998.
[17]A. Gouldstone, et al., "Nanoindentation: Simulation of defect nucleation in a crystal," Nature, vol. 411, p. 656, 2001.
[18]K. J. Van Vliet, et al., "Model experiments for direct visualization of grain boundary deformation in nanocrystalline metals," APPLIED PHYSICS LETTERS, vol. 83, pp. 1441-1443, 2003.
[19]D. Feichtinger, et al., "Atomistic simulations of spherical indentations in nanocrystalline gold," Physical Review B - Condensed Matter and Materials Physics, vol. 67, pp. 241131-241134, 2003.
[20]K. J. Van Vliet, et al., "Quantifying the early stages of plasticity through nanoscale experiments and simulations," Physical Review B - Condensed Matter and Materials Physics, vol. 67, pp. 1041051-10410515, 2003.
[21]J. H. Yoon, et al., "Molecular dynamics simulation of stress induced grain boundary migration during nanoindentation experiments," vol. 449-452, ed, 2004, pp. 89-92.
[22]A. Hasnaoui, et al., "Interaction between dislocations and grain boundaries under an indenter - A molecular dynamics simulation," Acta Materialia, vol. 52, pp. 2251-2258, 2004.
[23]R. Smith, et al., "Defect generation and pileup of atoms during nanoindentation of Fe single crystals," Physical Review B - Condensed Matter and Materials Physics, vol. 67, pp. 2454051-24540510, 2003.
[24]Y. Wang, et al., "Orientation dependence of nanoindentation pile-up patterns and of nanoindentation microtextures in copper single crystals," Acta Materialia, vol. 52, pp. 2229-2238, 2004.
[25]J. Q. Broughton, et al., "Concurrent coupling of length scales: Methodology and application," Physical Review B - Condensed Matter and Materials Physics, vol. 60, pp. 2391-2403, 1999.
[26]G. S. Smith, et al., "Multiscale simulations of silicon nanoindentation," Acta Materialia, vol. 49, pp. 4089-4101, 2001.
[27]I. Szlufarska, et al., "Nanoindentation-induced amorphization in silicon carbide," APPLIED PHYSICS LETTERS, vol. 85, pp. 378-380, 2004.
[28]P. Walsh, et al., "Amorphization and anisotropic fracture dynamics during nanoindentation of silicon nitride: A multimillion atom molecular dynamics study," APPLIED PHYSICS LETTERS, vol. 77, pp. 4332-4334, 2000.
[29]P. Walsh, et al., "Nanoindentation of silicon nitride: A multimillion-atom molecular dynamics study," APPLIED PHYSICS LETTERS, vol. 82, pp. 118-120, 2003.
[30]I. Szlufarska, et al., "Atomistic processes during nanoindentation of amorphous silicon carbide," APPLIED PHYSICS LETTERS, vol. 86, pp. 021915-1-021915-3, 2005.
[31]I. Szlufarska, et al., "Materials science: A crossover in the mechanical response of nanocrystalline ceramics," Science, vol. 309, pp. 911-914, 2005.
[32]G. Pätzold, "Computer simulation of nanoindentation into polymer films," Zeitschrift fur Physik B-Condensed Matter, vol. 104, pp. 513-521, 1997.
[33]R. Ferrando, et al., "Molecular dynamics simulations of the indentation of a crystalline surface by an atomic force microscope tip," Physical Review B - Condensed Matter and Materials Physics, vol. 72, pp. 1-8, 2005.
[34]N. Metropolis, "The Monte Carlo Method," Journal of the American Statistical Association vol. 44, pp. 335-341, 1949.
[35]B. J. Alder and T. E. Wainwright, "Phase Transition for a Hard Sphere System," The Journal of Chemical Physics, vol. 27, pp. 1208-1209, 1957.
[36]M. W. S. Finnis, J. E., "A simple empirical N-body potential for transition metals," Philosophical Magazine A, vol. 50, pp. 45-55, 1984.
[37]W. Maysenhölder, "Lowest-order approximations to relaxation volumes of monovacancies in cubic metals from pair potentials and Finnis-Sinclair potentials," Philosophical Magazine A, vol. 53, pp. 783-791, 1986.
[38]D. D. Koleske and S. J. Sibener, "Molecular dynamics simulations of the basal planes of Ni and Cu using Finnis-Sinclair potentials," Surface Science, vol. 290, pp. 179-194, 1993.
[39]M. Yan, et al., "Many-body central force potentials and properties of grain boundaries in NiAl," Acta Materialia, vol. 44, pp. 4351-4365, 1996.
[40]A. Landa, et al., "Development of Finnis-Sinclair type potentials for Pb, Pb-Bi, and Pb-Ni systems: application to surface segregation," Acta Materialia, vol. 46, pp. 3027-3032, 1998.
[41]Q. Zhang, et al., "Solid-state amorphization in Ni/Mo multilayers studied with molecular-dynamics simulation," Physical Review B, vol. 58, p. 14020, 1998.
[42]X. D. Dai and et al., "Extended Finnis–Sinclair potential for bcc and fcc metals and alloys," Journal of Physics: Condensed Matter, vol. 18, p. 4527, 2006.
[43]D. W. Heermann, "Computer Simulation Method," 1990.
[44]J. M. Goodfellow, "Molecular dynamics," 1991.
[45]M. P. A. a. D. J. Tildesley, "Computer Simulation of Liquids," 1991.
[46]D. F. a. B. Smit, "Understanding Molecular Simulation," 1996.
[47]J.M.Haile, "Molecular Dynamics Simulation," 1997.
[48]D. C. Rapaport, "The Art of Molecular Dynamics Simulation," 1997.
[49]J. P. M. P. H. J. C. Berendsen, W. F. van Gunsteren, A. DiNola,a) and J. R. Haak "Molecular dynamics with coupling to an external bath " J. Chem. Phys, vol. 81, pp. 3684-3690, 1984.
[50]L. Verlet, "Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions," Physical Review, vol. 165, p. 201, 1968.
[51]S. Plimpton, "Fast Parallel Algorithms for short-range Molecular Dynamics," Journal of Computational Physics, vol. 117, pp. 1-19, 1995.
[52]J. D. Honeycutt and H. C. Andersen, "Molecular dynamics study of melting and freezing of small Lennard-Jones clusters," The Journal of Physical Chemistry, vol. 91, pp. 4950-4963, 1987.
[53]oacute, et al., "Icosahedral Ordering in the Lennard-Jones Liquid and Glass," Physical Review Letters, vol. 60, p. 2295, 1988.
[54]H. Tsuzuki, et al., "Structural characterization of deformed crystals by analysis of common atomic neighborhood," Computer Physics Communications, vol. 177, pp. 518-523, 2007.
[55]J. P. Hirth, "Some current topics in dislocation theory," Acta Materialia, vol. 48, pp. 93-104, 2000.
[56]J. P. Hirth, "Theory of dislocations," 1930.
[57]"http://www.tf.unikiel.de/matwis/amat/def_en/kap_5/backbone/r5_4_1.html."