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研究生： 吳孟璇
Wu, Meng-Hsuan
論文名稱： 微結構之黏著接觸問題數值分析
Numerical Analysis of Adhesive Contact of Micro-Structures
指導教授： 林育芸
Lin, Yu-Yun
學位類別： 碩士
Master
系所名稱： 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年： 2010
畢業學年度： 98
語文別： 中文
論文頁數： 81
中文關鍵詞： 微結構 、黏著接觸 、勁度 、最大拉拔力 、有效黏著能
外文關鍵詞： microstructure, adhesive contact, stiffness, maximum pull-off force, effective work of adhesion
相關次數： 點閱：98  下載：2 
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    • 本文主要探討具微結構之彈性體與剛性球體之黏著與無黏著接觸問題。建立三維有限元素數值模型，以彈簧元素模擬微結構之力學行為，同時以自定義黏著元素描述表面之間黏著應力，分析表面具微結構之彈性體在小變形情況下之黏著與無黏著接觸行為。探討微結構深寬比 、微結構寬度 及排列面密度 在對於整體接觸勁度，以及最大拉拔力與有效黏著能之影響。模擬結果分別與前人之分析結果及實驗結果相互比較。

    In this research, we studied the adhesive and non-adhesive contact problems of rigid sphere and the elastic solid with surface microstructures. We established 3D finite element models by using spring elements, which described the behavior of microstructures. Also, the adhesive stress between two surfaces was implemented by user-defined cohesive element. The behavior of elastic solid with surface microstructures under small deformation was analyzed. The influence of the aspect ratio , column width , and area density on the effective stiffness of contact was discussed, as well as maximum pull-off force and effective work of adhesion. The numerical results were compared with the analysis and the experimental data in literature.

    摘要.............................................I Abstract........................................II 誌謝...........................................III 目錄.............................................V 圖目錄.........................................VII 第一章 緒論.....................................1 1.1研究動機與目的................................1 1.2本文內容與簡介................................2 第二章 文獻回顧與相關理論.......................3 2.1文獻回顧......................................3 2.2 Hertz接觸理論介紹...........................10 2.3 JKR黏著接觸理論介紹.........................12 第三章 微結構無黏著接觸問題數值分析............18 3.1以彈簧元素模擬微結構之相對關係公式推導.......18 3.2具微結構彈性基底之無黏著接觸分析.............20 3.2-1板狀微結構二維接觸問題數值模型之建立.......20 3.2-2圓柱微結構三維接觸問題數值模型之建立.......21 3.3 二維無黏著接觸數值模擬結果..................23 3.4 三維無黏著接觸數值模擬結果..................24 3.4-1深寬比 對於具微結構基底之楊氏模數之影響....26 3.4-2柱寬 對於具微結構基底之楊氏模數之影響......27 3.4-3面密度 對於具微結構基底之楊氏模數之影響....28 第四章 微結構黏著接觸問題數值分析..............43 4.1 黏著接觸數值模型之建立......................43 4.2 二維黏著接觸數值模擬結果....................46 4.3 三維黏著接觸數值模擬結果....................47 4.3-1深寬比λ對最大拉拔力與有效黏著能之影響.....52 4.3-2柱寬d對最大拉拔力與有效黏著能之影響........55 4.3-3面密度ρ對於對最大拉拔力與有效黏著能之影響.57 4.3-4基底厚度H對於對最大拉拔力與有效黏著能之影響58 第五章 結論....................................75 參考文獻........................................79 自述............................................81

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