研究生: |
王柏偉 Boi-Wei Wang |
---|---|
論文名稱: |
嵌於無窮平板之對稱翼型裂紋承受遠程均勻熱通量和機械拉伸之應力強度因子分析 Stress Intensity Factors for a Symmetric Airfoil Crack Embedded in an Infinite Matrix Subject to a Remote Uniform Heat Flux and Tensile Load |
指導教授: |
趙振綱
Ching-Kong Chao |
口試委員: |
黃育熙
Yu-Hsi Huang 徐慶琪 Ching-Chi Hsu 張瑞慶 Rwei-Ching Chang |
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: | 2023 |
畢業學年度: | 111 |
語文別: | 中文 |
論文頁數: | 65 |
中文關鍵詞: | 保角映射法 、解析連續法 、疊加原理 、應變能密度準則 、應力強度因子 |
外文關鍵詞: | Conformal Mapping Method, Analytical Continuation Method, Principle of Superposition, Strain Energy Density Criterion, Stress Intensity Factors |
相關次數: | 點閱:292 下載:1 |
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在二維熱彈性理論和複變理論的框架下,本文主要在求解嵌於無窮平板的對稱翼型裂紋承受遠端均勻拉伸和熱通量負載下之應力強度因子。先利用保角映射法將對稱翼型裂紋轉換成單位圓孔洞,再藉由解析連續法和介面上的絕熱和無曳引力之邊界條件計算出所需的溫度和應力函數。首先,分別求解對稱翼型裂紋僅承受遠程均勻拉伸或熱通量負載下之應力函數。接著,透過疊加原理將分別兩種不同形式負載的應力函數和應力強度因子疊加。在求得對稱翼型裂紋同時承受遠端均勻拉伸和熱通量之應力強度因子後,便可透過應變能密度準則計算出裂紋的破裂角度。最後,將探討不同方向、大小之拉伸負載和熱通量對於應力強度因子和破裂角度之影響。本文會逐一討論各組合的應力強度因子和破壞機制並藉由應變能密度等高線來做破裂角度的驗證。
Based on the two-dimensional thermoelasticity and complex variable theory, the stress intensity factors (SIFs) for a symmetrical airfoil crack embedded in an infinite matrix under a remote uniform tensile load and a remote uniform heat flow are primarily solved in this study. The conformal mapping method is applied to convert a symmetrical airfoil crack into a unit circular hole and the analytical continuation theorem is then used to obtain the undetermined temperature and stress functions with the adiabatic and traction-free condition. The stress function of a symmetrical airfoil crack subject to a remote uniform tensile load and a remote uniform heat flow is obtained respectively. The principle of superposition is subsequently utilized to superimpose the stress functions and SIFs of the two different loading conditions. After the SIFs are calculated, the strain energy density criterion is employed to determine the fracture angle of the crack. Finally, the effect of different orientations and magnitudes of applied tensile load and heat flux on the SIFs and fracture angle will be investigated. This study will comprehensively discuss the SIFs and failure mechanism of each case and the fracture angle will be verified using the strain energy density contour.
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