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研究生: 李家揚
Lee, Chia-Yang
論文名稱: 以分子動力學分析GaAs/Si層狀異質結構受到奈米壓痕作用所產生的變形及相變化行為
Study on deformation and phase transformation behavior of GaAs/Si layered heterostructures under nanoindentation by using Molecular Dynamics (MD)
指導教授: 陳鐵城
Chen, Tei-Chen
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 132
中文關鍵詞: MD分子動力學奈米壓痕GaAs薄膜Si基板基板效應
外文關鍵詞: MD, GaAs film, Si substrate, effect of substrate, nanoindentation, Molecular Dynamics
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  • 矽(Si)基板與砷化鎵(GaAs)薄膜所構成的層狀異質結構,可以結合電子與光學元件的優點於單一系統內,但採用這種異質結構會間接導致元件內部產生大量缺陷,嚴重影響薄膜的品質與光電性能,因此元件中薄膜之機械性質量測顯得格外重要。本文即利用分子動力學(Molecular Dynamics, MD)模擬GaAs/Si結構之奈米壓痕(Nanoindentation)機制,藉以了解GaAs薄膜之機械特性。
    經過模擬分析之後,發現GaAs薄膜之硬度與楊氏係數會隨著薄膜厚度的增加而降低;隨著壓痕深度的加深而變大,意即基板效應會隨著薄膜厚度增加而減小;隨著壓痕深度加深而變大,估計薄膜厚度須達奈米壓痕深度的10倍以上才能消除基板效應,隨後本文利用King的理論求得較接近薄膜真實的楊氏係數。而壓痕過程中薄膜由彈性變形轉變成塑性變形的Pop-in現象,在力量位移曲線中均能清楚的呈現出來。此外本文也在兩材料的介面處發現部分因差排而導致的滑移線,呈現出與現實相同的物理現象。

    The layered heterostructure constructed by Si substrate and GaAs film can combine the benefits of electronic and optical components in one unit. But this heterostructure produces a large number of defects within the component indirectly. These defects often reduce the quality and optoelectronic efficiency of GaAs film seriously. So the measurement of GaAs film’s mechanical properties plays an important rule. This paper investigates the deformation and phase transformation behavior of GaAs/Si layered heterostructures under nanoindentation by using Molecular Dynamics (MD) to discuss the mechanical properties of GaAs film.
    After the analysis, we can obtain that the hardness and Young’s modulus of GaAs film decrease with the thickness of GaAs film and increase with the indentation-depth. In other words, the effect of substrate decreases with the thickness of GaAs film and increases with the indentation-depth. We conclude that the effect of substrate will be reduced when the thickness of GaAs film becomes ten times greater than the indentation-depth. Then we introduce King’s analysis to estimate the true Young’s modulus of GaAs film and finally obtain approximate results. Besides, during indentation process, the force-displacement curve reveals the pop-in event clearly which corresponds to the elastic-to-plastic transition within GaAs film. Furthermore, we are able to observe dozens of slip lines caused by dislocation near the material interface which is familiar to the physic phenomena in the real case.

    摘要 i Abstract ii 致謝 iii 目錄 iv 表目錄 vii 圖目錄 viii 符號說明 xiii 第一章 緒論 1 1-1 前言 1 1-2 文獻回顧 3 1-2-1 分子動力學文獻回顧 3 1-2-2 奈米壓痕之文獻回顧 5 1-4 研究動機與目的 8 1-5 本文架構 9 第二章 分子動力學基本原理 10 2-1 分子動力學基本假設 10 2-2 分子動力學基本理論 10 2-3 系綜觀念 13 2-4 分子間作用力 14 2-5 勢能函數 15 2-6 無因次化 22 2-7 初始位置之決定 23 2-8 初始速度之決定 24 2-9 預測修正法 26 2-10 截斷半徑與鄰近表列法 30 2-11 週期邊界 35 2-12 最小映像法則 36 2-13 原子級之應力 38 第三章 模擬分析理論架構 39 3-1 奈米壓痕分析理論 39 3-2 勢能函數之選擇 45 3-3 監控平衡狀態 47 3-4 缺陷及相變化理論架構 49 第四章 MD結果分析與討論 54 4-1 MD奈米壓痕模擬分析流程 54 4-2 GaAs奈米壓痕模擬結果與討論 57 4-2-1 GaAs奈米壓痕機制與變形過程 57 4-2-2 GaAs奈米壓痕之應力探討 64 4-2-3 GaAs奈米壓痕之相變化行為討論 66 4-2-4 GaAs奈米壓痕之Pop-in現象討論 69 4-2-5 GaAs奈米壓痕之壓痕深度效應 71 4-3 GaAs/Si層狀異質結構奈米壓痕模擬結果與討論 79 4-3-1 GaAs/Si層狀異質結構奈米壓痕機制與變形過程 79 4-3-2 GaAs/Si層狀異質結構之相變化行為討論 84 4-3-3 不同薄膜厚度下GaAs/Si層狀異質結構之基板效應 87 4-3-4 基板效應下GaAs/Si層狀異質結構之壓痕深度效應 94 4-3-5 King Model 99 第五章 結論與未來展望 106 5-1 結論 106 5-2 未來展望 108 參考文獻 109 自述 115

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