簡易檢索 / 詳目顯示

研究生: 陳雅倫
Chen, Ya-Lun
論文名稱: 不確定因素對於材料疲勞壽命預測的影響
指導教授: 蔣長榮
Chiang, Chun-Ron
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: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 64
中文關鍵詞: 疲勞模擬
相關次數: 點閱:72下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本文基於破壞力學理論,模擬一具有邊緣初始裂縫之試片,承受垂直於裂縫方向之疲勞負載,探討在各種不確定因子的影響下所造成裂縫延伸的情形與變化。藉由既有實驗結果驗證電腦模擬的實用性,並由最小平方誤差之觀念,建立計算模擬所需材料常數之數值方法。將多次模擬所得之破裂週次繪製分佈函數,結果發現以對數常態分佈函數最為適合。比較各因子對破裂週次的影響,發現除了初始裂縫長度外,試片寬亦有顯著的影響。若能將影響較顯著的變異納入模擬考量中,將可使模擬更趨近於實驗結果,可供應用於疲勞裂縫成長壽命的評估。


    目 錄 頁 次 誌謝---------------------------------------------------------------------------- Ι 摘要---------------------------------------------------------------------------- Ⅱ 英文摘要--------------------------------------------------------------------- Ⅲ 目錄---------------------------------------------------------------------------- Ⅳ 圖表目錄--------------------------------------------------------------------- Ⅵ 主要符號說明-------------------------------------------------------------- Ⅷ 第一章 緒論---------------------------------------------------------------- 1 1.1 前言---------------------------------------------------------------------- 1 1.2 研究動機與目的------------------------------------------------------- 3 1.3 破裂力學理論回顧---------------------------------------------------- 4 1.3-1應力強度因子之門限值與R ratio關係------------------- 8 1.3-2破裂韌度-------------------------------------------------------- 9 第二章 理論方法--------------------------------------------------------- 11 2.1 扭絞裂縫之應力強度因子------------------------------------------- 11 2.2 隨機數於方向選取之應用------------------------------------------- 13 2.2-1 蒙地卡羅法---------------------------------------------------- 13 2.2-2 亂數產生器---------------------------------------------------- 15 2.2-3 隨機變數模擬之原理---------------------------------------- 16 2.3 疲勞裂縫延伸機制---------------------------------------------------- …………………… 17 2.3-1疲勞裂縫成長方向-------------------------------------------- 17 2.3-2疲勞裂縫成長量----------------------------------------------- 18 第三章 疲勞裂縫成長的模擬----------------------------------------法.................……………………………..…... 21 3.1 問題描述--------------------------------------------------------------- 21 3.2 模擬之假設與限制---------------------------------------------------- 21 3.3 成長方向機率函數---------------------------------------------------- 23 3.4 材料係數之選定方法與流程---------------------------------------- 24 3.4-1 最小平方迴歸法----------------------------------------------式………………………………………………….. 24 3.4-2 材料係數選定-------------------------------------------------區…………………………………………….. 25 3.5 裂縫成長模擬流程---------------------------------------------------- 27 第四章 結果與討論----------------------------------------------------- 29 4.1 裂縫成長分佈---------------------------------------------------------- 29 4.2 各裂縫成長因子之影響程度比較---------------------------------- 31 第五章 結論---------------------------------------------------------------- 34 參考文獻--------------------------------------------------------------------- 61

    參考文獻
    [1]姚枚.陳鴻賓合著,"金屬機械性能",全華科技圖書股份有限公司出版,1996.
    [2]P.C. Paris, M. P. Gomez and W. P. Anderson, "A rational analytic theory of fatigue",The Trend in Engineering, Vol.13, pp.9-14, 1961.
    [3]P. C. Paris and F. Erdogan, "A critical analysis of crack propagation law," Transaction of the ASME, Journal of Basic Engineering, Vol. 85, No. 4, pp.528-534, 1963.
    [4],J. Schijve and D. Broke, "The influence of the mean stress on the propagation of fatigue cracks in aluminum alloy sheets, " Nat. Aerospace Inst. Amsterdam TR-M-2111, 1963.
    [5] E.K. Walker, "Effects of environments and complex load history on fatigue life, "ASME STP 462, pp.1-14, 1970.
    [6] R. G. Forman, and V. E. Kearney, and R. M. Engle, "Numerical analysis of crack propagation in cyclic-loaded structures," Transaction ASME, Journal of Basic Engineering, Vol. 89, No. 3, pp. 459-464, 1976.
    [7]R. J. Donahue, H. M. Clark, P. Atanmo, R. Kumble, andA. J. McEvily, "Crack opening displacement and the rate of fatigue crack growth, " International Journal of Fracture Mechanics, Vol. 8, pp.209-219, 1972.
    [8]A. J. McEvily, "On closure in fatigue crack growth, " ASTM STP 982, American Society for Testing and Materials, Philadelphia, pp.35-43, 1988.
    [9]C.R. Chiang, "A unified theory of fatigue and crack growth: a statistical approach," International Journal of Fracture, Vol. 53, pp.337-342, 1992.
    [10]C.R. Chiang, "Numerical simulation on fracture behavior of materials, "國科會專題研究計劃成果報告NSC86-2212-E007-006, 1997.
    [11]黃郁青,"裂縫的疲勞成長電腦模擬",碩士論文,國立清華大學,1999.
    [12]王琮瑋,"疊層複合材料中疲勞裂縫成長之電腦模擬",碩士論文,國立清華大學, 2000.
    [13]C.R. Chiang, "Kinked crack in an anisotropic material, "
    Engineering Fracture Mechanics, Vol. 39, No. 5, pp. 927-930, 1991.
    [14]陳兆勛 譯著,"破裂力學之實際應用,"國立編譯館出版,1999.
    [15]A. Ohta and E Sasaki, "Influence of stress ratio on the threshold level for fatigue crack propagation in high strength steels, "Engineering Fracture Mechanics, Vol 9,no.2, pp. 307-315, 1977.
    [16]D. N. Lal and T. K. G. Namboodhiri, " Model for the effect of the mean stress on the threshold condition for fatigue crack propagation , " Materials Science and Engineering , A. Vol. A130, no. 1, pp. 37-49. 1990.
    [17]C. R. Chiang, "Threshold stress intensity factor of fatigue cracks, "Engineering Fracture Mechanics, Vo.49, No. 1, pp. 29-33, 1994.
    [18]D. Broek,陳文華、張士欽 譯,"基本工程破裂力學",國立編譯館出版,1995.
    [19]E. Campbell, W. Gerberich and H. Underwood, " Application of fracture mechanics for selection of metallic structural materials", American Society for Metals,1982
    [20]M. H. Kalos and P. A. Whitlock, " Monte Carlo Methods", Wiley & Sons, New York, 1986.
    [21]P.A.W. Lewis, A.S. Goodmen, and J. M. Miller, "A pseudo random number for the system/360,"IBM Syst. J., Vol. 8, pp. 136-146, 1969.
    [22] A.M. Law and W.D. Kelton. "Simulation Modeling and Analysis" McGraw-Hill, New York, 2nd edition, 1991.
    [23]M. B. Buczek and C. T. Herakovich, "A normal stress criterion for crack extension direction in orthotropic composite materials, "Journal of Composite Materials, Vol. 19, pp.544-553, 1985.
    [24]陳志忠,"鋁合金裂縫成長行為之可靠度研究",碩士論文,
    國立台灣大學,2001.
    [25]張智星 編著,"MATLAB程式設計與應用",清蔚科技出版,2001
    [26]周啟,蔡秀芬,"普通物理實驗數據之讀取、統計、處理與分析",全國第三屆大學校院普通物理學及實驗改進研討會,1990。
    [27]許淵賓, "張開型裂縫成長方向的統計預測",碩士論文,國立清華大學, 2008.

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)

    QR CODE