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研究生: 吳政邦
論文名稱: 含一近表面裂縫半無窮平板之應力分析
指導教授: 王偉中
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 動力機械工程學系
Department of Power Mechanical Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 92
中文關鍵詞: 裂縫光彈法改良取代式疊加法應力強度因子接觸應力
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  • 本研究係利用穿透式光彈法及取代式疊加法探討含一近表面裂縫之半無窮平板,在其表面上受到集中載荷時於裂縫尖端附近之應力狀態。由於近表面裂縫的存在,接近接觸點區域之應力分佈情形已並非如Hertz所提出之原始接觸應力理論,而裂縫尖端附近之應力分佈情形亦不同於存在於無窮大區域內裂縫的理論解。本研究藉由改良取代式疊加法的應用,能夠有效的分析近表面裂縫附近的應力分佈情形,並探討改變集中載荷的大小、施載點位置與裂縫傾角,以瞭解裂縫尖端應力強度因子之變化。


    目 錄 一、簡介..................................................1 二、文獻回顧..............................................3 2.1 接觸應力與裂縫之理論研究[5]....................3 2.2 光彈法在接觸問題的應用[5]......................4 三、原理..................................................5 3.1 光彈法原理........................................5 3.1.1 傳統光彈法....................................6 3.1.2 數位光彈法....................................6 3.2 Smith及Liu之接觸問題解[3,25]......................7 3.3 應用牛頓-拉福森法配合最小平方法求解接觸半長及摩 擦係數[17]........................................9 3.4 破裂力學之理論解.................................10 3.5 取代疊加法.......................................15 四、實驗試片及裝置.......................................20 4.1 實驗試片規劃.....................................20 4.2 施載架設計.......................................20 4.3 光彈實驗裝置.....................................20 4.4 影像處理系統.....................................21 五、實驗程序.............................................22 5.1 光彈實驗.........................................22 六、結果與討論...........................................26 6.1 光彈實驗[5]......................................26 6.2 直接疊加原理解...................................27 6.3 取代式疊加法解...................................29 6.4 集中負載於裂縫尖端正上方之接觸問題...............30 6.5 集中負載偏離裂縫尖端正上方之接觸問題.............33 七、結論與展望...........................................36 八、參考文獻.............................................39 九、圖片

    參考文獻
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