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研究生: 劉威廷
Liu, Wei-Ting
論文名稱: 以分子動力學模擬法探討表面效應對金屬奈米線機械性質之影響
The Influence of Surface Effect on Mechanical Properties of Metal Nanowire through Molecular Dynamics Simulation
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: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 136
中文關鍵詞: 奈米線分子動力學模擬機械性質尺寸效應拉伸壓縮金屬玻璃(非晶態金屬)
外文關鍵詞: nanowire, molecular dynamics simulation, mechanical properties, size effect, tension, compression, metallic glass (amorphous metal)
相關次數: 點閱:95下載:3
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  • 本文以分子動力學模擬來探討尺寸的改變對金屬與金屬玻璃奈米線機械性質的影響。金屬奈米線我們選用面心立方的銅以[001]方向做軸向拉伸與壓縮,而金屬玻璃奈米線我們選用銅鋯鈦三元合金來做[001]方向的軸向拉伸與壓縮。而為了減少熱震動對微觀結果的擾動與影響,我們將系統溫度維持在接近絕對0度下進行,以釐清尺寸對結構與機械性質影響。
    在金屬銅奈米線中我們發現無論是在平衡、拉伸以及壓縮,其表層原子與內部原子之應力、楊氏模數、以及能量變化上具有不同的表現。由於不同尺寸下的金屬銅奈米線表面原子所佔系統原子比例與奈米線尺寸呈非線性關係,而使得上述物理性質也與奈米線尺寸呈現非線性關係。
    我們在金屬玻璃奈米線的拉伸與壓縮試驗中發現奈米尺寸下金屬玻璃是以延性的方式形變而非巨觀下以脆性破裂的方式形變,尺寸的改變不僅改變了金屬玻璃機械性質,同時還改變了其變形方式。

    In this study, we use molecular dynamics simulation to investigate the impact of size effect on the mechanical properties of metal and metallic glass nanowires. We select face-centered cubic copper nanowire to simulate the axial tensile and compression on [001] direction. For metallic glass, we selected Cu-Zr-Ti ternary alloy to do the axial tension and compression on [001] direction. In order to reduce the impact of thermal vibration on atomic level simulations, we maintain the system temperature near 0 K to clarify the size effect of the structure and mechanical properties.
    We found by simulation of copper nanowires that, stress, Young’s modulus, and potential energy behave differently in surficial atoms and interior ones under equilibration, tension, and compression tests. The fact that proportion of surficial atoms in copper nanowires doesn’t increase with nanowire diameter also leads to nonlinearity between the above physical behaviors and nanowire diameter.
    On the other hand, with tension and compression tests of metallic glass nanowires, we found that in nanoscale, ductile deformation is the dominant mechanism, while brittle deformation is the bulk counterpart. In general, we found that size difference in metal glass nanowire not only affects mechanical properties, but also the way it deforms

    摘要 i Abstract ii 誌謝 iii 目錄 iv 表目錄 vi 圖目錄 vii 第1章 緒論 1 1.1 前言 1 1.2 論文架構 2 第2章 文獻回顧 4 2.1 單晶金屬之奈米線 4 2.2 非晶態合金(金屬玻璃)之奈米線 4 第3章 分子動力學理論 9 3.1 分子動力學基本假設與流程圖 9 3.2 勢能函數 10 3.3 初始條件設定 11 3.4 運動方程式 13 3.4.1 Verlet algorithms 13 3.4.2 Leap Frog algorithms 14 3.4.3 Velocity Verlet algorithms 15 3.5 系統 16 3.5.1 溫度控制方法 16 3.5.2 壓力控制方法 17 3.6 週期性邊界 18 3.7 分子動力學簡化方法 18 3.7.1 截斷半徑法 19 3.7.2 Verlet 表列法 19 3.7.3 Cell Link 表列法 20 3.7.4 Verlet表列法結合Cell Link表列法 20 第4章 物理模型與方法 28 4.1 接近絕對零度的平衡 28 4.2 銅金屬奈米線 29 4.3 金屬玻璃奈米線 30 4.4 拉伸壓縮方法 31 4.5 分析方法 32 4.5.1 原子級應力計算方法 32 4.5.2 徑向分佈函數 33 4.5.3 共同鄰近分析法 34 第5章 Tight-binding 勢能驗證 41 5.1 晶格常數與凝聚能 41 5.2 熔點 42 5.3 彈性常數 43 5.4 玻璃形成能力 44 第6章 結果與討論 56 6.1 銅奈米線 56 6.1.1 銅奈米線的平衡 56 6.1.2 銅奈米線的拉伸 59 6.1.3 銅奈米線的壓縮 63 6.1.4 銅奈米線總結 66 6.2 金屬玻璃奈米線 70 6.2.1 金屬玻璃奈米線的拉伸 70 6.2.2 金屬玻璃奈米線的壓縮 71 6.2.3 金屬玻璃奈米線總結 71 第7章 結論與未來展望 132 參考文獻 134

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