研究生: |
李威穎 Wei-Ying Li |
---|---|
論文名稱: |
四邊形塗層孔洞承受差排之應力分析 Stress Analysis of a Coated Square Hole Subject to an Edge Dislocation |
指導教授: |
趙振綱
Ching-Kong Chao |
口試委員: |
應宜雄
Yi-Shyong Ing 黃榮芳 Rong-Fung Huang |
學位類別: |
碩士 Master |
系所名稱: |
工程學院 - 機械工程系 Department of Mechanical Engineering |
論文出版年: | 2019 |
畢業學年度: | 107 |
語文別: | 英文 |
論文頁數: | 61 |
中文關鍵詞: | 交替法 、四邊形塗層孔洞 、保角映射法 |
外文關鍵詞: | Alternating technique, Coated square hole, Conformal mapping |
相關次數: | 點閱:285 下載:0 |
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本論文主要是探討差排對四邊形塗層孔洞之影響。首先,利用保角映射法先將四邊形異質轉換成圓形界面的異質問題,這個步驟會將物理平面傳換到數學平面,並使用Muskhelishvili二維平面等向彈性力學理論,且定義輔助應力函數 來簡化過程,使用複變函數理論、解析連續法及交替法來求得塗層材料在差排影響中的全場應力函數級數解,經由此方法可以得知塗層四邊形中的應力分布,進而提升材料介面的強度。本研究界面應力之數值計算使用MATLAB R2014a軟體作為本文計算工具,以及使用有限元素法COMSOL作為驗證工具。
This study mainly investigates the interaction between a coated square hole and an edge dislocation. Based on the analytical continuation theorem and the alternating technique in conjunction with the method of conformal mapping, a series solution of both the displacement and stresses is derived in terms of a homogeneous potential function. The force on the dislocation is also calculated. Examples for various coating thickness and material constant combinations are given and discussed.
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