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研究生: 黃豪義
Huang, Hao-Yi
論文名稱: 脫層應力強度因子之計算方法
Effective Methods for Calculating the Delamination Stress Intensity Factors
指導教授: 胡潛濱
Hwu, Chyanbin
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 73
中文關鍵詞: H積分對數近似脫層J積分
外文關鍵詞: delamination, J-Integral, H-Integral, logarithm approximation, definition
相關次數: 點閱:133下載:3
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  •   本文之主要目的在提出一可靠、穩定且高效率之脫層應力強度因子之計算方法,由於一般複合材料疊層之厚度極薄,傳統上計算方式運用定義式計算脫層應力強度因子,皆會遭遇邊界效應之影響,以致再細緻之網格都很難求得收斂之結果。為解決此一問題,在文獻上曾提及奇異元素法、對數近似法、J積分法、H積分法等,藉由實例分析,從而建議H積分為一可靠、穩定且高效率之計算方式。

    The main purpose of this dissertation is to put forward a reliable, stable and high-efficiency computing method for delamination stress intensity factors (SIF). Because the thickness of each layer of composite laminate is extremely thin, commonly used SIF calculations by definitions will be greatly influenced by boundary effect. Hence convergence of results is very difficult to obtain no matter how subtle the mashes are. In order to solve this problem, methods such as H-Integral, singular element, logarithm approximation, J-Integral, etc. mentioned previously in some literatures had been implemented in actual case analyses. From these results we conclude and propose that H-Integral is a reliable, stable and high-efficiency calculating tool.

    致謝 摘要 英文摘要 目錄...................................................................................................... i 表目錄.................................................................................................. iii 圖目錄.................................................................................................. iv 符號說明.............................................................................................. vi 第一章 緒論......................................................................................... 1 §1.1 前言............................................................................................... 1 §1.2 文獻回顧....................................................................................... 1 §1.3 研究動機與目的........................................................................... 2 §1.4 論文架構....................................................................................... 4 第二章 數種計算應力強度因子方法之簡介..................................... 5 §2.1 定義式逼近法............................................................................... 5 2.1.1應力逼近法................................................................................... 5 2.1.2位移逼近法................................................................................... 7 §2.2 對數近似法................................................................................... 7 §2.3 ANSYS內建指令........................................................................... 10 §2.4 J積分法.......................................................................................... 10 §2.5 H積分法......................................................................................... 12 2.5.1均質裂縫問題................................................................................ 13 2.5.2界面裂縫問題................................................................................ 15 第三章 模擬分析.................................................................................. 19 §3.1 材料座標轉換................................................................................ 19 §3.2 ANSYS分析.................................................................................... 21 §3.3 建縮模式建立................................................................................ 23 §3.4 複合材料疊層間之等效混合........................................................ 25 第四章 數值結果.................................................................................. 26 §4.1 均質裂縫....................................................................................... 26 4.1.1收斂性探討................................................................................... 26 4.1.2邊緣裂縫於試片兩端受均佈張力............................................... 27 4.1.3含邊緣裂縫方板一端受均佈剪力另一端固定........................... 27 4.1.4含邊緣傾斜裂縫方板於兩端緣受均佈張力............................... 27 4.1.5均質方形板之厚度漸縮............................................................... 28 §4.2 界面裂縫....................................................................................... 28 4.2.1複材疊層板之厚度漸縮............................................................... 29 4.2.2 疊層板.......................................................................................... 29 4.2.3 複材疊層板等效混合.................................................................. 30 第五章 結論.......................................................................................... 31 §5.1 結論............................................................................................... 31 §5.2 建議............................................................................................... 32 §5.3 後續研究方向............................................................................... 33 參考文獻............................................................................................... 34 附表....................................................................................................... 37 附圖....................................................................................................... 47 自述....................................................................................................... 74

    ANSYS 10.0 Documentation : ANSYS Element Reference.
    ANSYS 10.0 Documentation : Advanced Analysis Techniques Guide
    Anderson, T. L., 2005, Fracture Mechanics, Fundamentals and Applications, Taylor & Francis Group.
    Barsoum, R. S., 1976, On the Use of Isoparametric Finite Elements in Linear Fracture Mechanics, International Journal for Numerical Methods in En-gineering, 10, 25-37.
    Broek, D., 1989, The Practical Use of Fracture Mechanics, Kluwer Aca-demic Publishers, 54-57.
    Henshell, R. D. and Shaw, K. G., 1975, Crack Tip Finite Elements are Unnec-essary, International Journal for Numerical Methods in Engineering, 9, 495-507.
    Hellan, K., 1984, Introduction to Fracture Mechanics, McGraw-Hill.
    Hwu, C. and Hu, J. S., 1992, Stress Intensity Factors and Energy Release Rates of Delaminations in Composite Laminates, Engineering Fracture Mechanics, 42 (6), 977-988.
    Hwu, C., 1993, Fracture Parameters for Orthotropic Bimaterial Interface Cracks, Engineering Fracture Mechanics, 45, 89-97.
    Hwu, C., Kao, C. J. and Chang, L. E.,1995, Delamination Fracture Criteria for Composite Laminates, Journal of Composite Materials, 29, 1962-1987.
    Hwu, C., Omiya, M. and Kishimoto, K., 2003, A Key Matrix for the Stress Singularity of Anisotropic Elastic Composite Wedges, JSME Inter-national Journal, Series A, 46, 40-50.
    Hwu, C., and Kuo, T. L., 2005, Stress Intensity Factors of Interface Corners, the 7th International Conference on Electronics Materials and Packaging, Tokyo, Japan. (to be presented)
    Jones, R. M., 1975, Mechanics of Composite Material, 北門出版社。
    Pipes, R. B. and Pagano, N. J.,1970, Interlaminar Stresses in Composite Laminates under Uniform Axial Tension, Journal of Composite Materials, 4, 538-548.
    Pagano., N. J. and Pipes, R. B., 1973, Some Observations on the Interlaminar Strength of Composite Laminates, International Journal of Mechanical Sciences, 15, 679-686.
    Rice, J. R.,1988, Elastic Fracture Mechanics Concepts for Interfacial Cracks, Journal of Applied Mechanics, 55, 98-103.
    Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, McGRAW-Hill Book Company, 390-394.
    Stern, M., Becker, E. B. and Dunham R. S., 1976, A Countour Integral Computation of Mixed-Mode Stress Intensity Factors, International Jour-nal of Fracture, 12, 359-386.
    Sih, G. C. and Chen, E. P., 1981, Cracks in Composite Materials, Ch.3, (Me-chanics of Fracture VI), Martinus Nijhoff Publishers.
    Suo, Z., 1990, Singularities Interfaces and Cracks in Dissimilar Anisotropic Media, Proc. R. Soc. Lond., A., 427, 331-358.
    Ting, T. C. T., 1986, Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites, International Journal of Solids Structures, 22, 965-983.
    Toensmeier, P. A., 1994, Composite Industry Eyes Civil Engineering as Next Big Market, Mod. Plast, April:17-89.
    Williams, M. L., 1959, The Stress around a Fault or Crack in Dissimilar Me-dia, Bulletin of the Seismological Society of America, 49, 199-204.
    Willis. J. R., 1971, Fracture Mechanics of Interfacial Cracks, Journal of Me-chanics and Physics of Solids, 19, 353-368.
    Wu, K. C., 1990, Stress Intensity Factors and Energy Release Rate for Inter-facial Cracks between Dissimilar Anisotropic Material, Journal of Ap-plied Mechanics, 57, 882-886.
    Zhou, S. G. and Sun, C. T., 1990, Failure Analysis of Composite Laminates with Free Edge, Journal of Composite Technology and Research, 12(2), 91-97.
    林彥亨,2003,「複材結構抗脫層分析」,國立成功大學 航空太空工程研究所,碩士論文。
    李文仁,2004,「複合楔形板之應力奇異性」,國立成功大學 航空太空工程研究所,碩士論文。
    邵薀秋,2004,「ANSYS 8.0 有限元分析實例導航」,中國鐵道出版社。

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