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研究生: 洪筱君
Hung, Hsiao-chun
論文名稱: 複合材料圓柱殼受扭力之非線性分析
Nonlinear Analyses of Composite Laminated Cylindrical Shells Subjected to Combined Axial Force and Torsion
指導教授: 胡宣德
Hu, Hsuan-teh
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 122
中文關鍵詞: 複合材料圓柱殼扭力
外文關鍵詞: composite, cylindrical shell, torsion
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  • 本研究使用一套非線性破壞分析模式,針對複合材料圓柱殼受扭力載重,進行材料之破壞預測及分析探討。此非線性破壞分析模式主要包含三部分:1.材料破壞前的非線性組成律2.預測破壞時機的混合破壞準則3.後破壞分析模式。
    至於纖維複材單層板破壞前之非線性行為模擬,乃假設材料在軸向及側向均為彈性-塑性行為,而面內剪力則使用定值剪力參數來模擬之。然而破壞時機之判斷依據,則使用混合破壞準則: 結合了Tsai-Wu破壞準則和最大應力準則的優點。在後破壞行為分析中,對單層板軸向和剪力之行為均假設成脆性破壞模式,而側向則採用逐降模式模擬之。
    對於非線性破壞分析模式所預測之結果,將與複合材料圓柱殼受扭力作用下之實驗數據結果做比較,以證明本論文所建議之分析模式正確且合理。
    最後,利用所建立之模型,延伸探討複合材料圓柱殼的邊界條件、不同長/半徑比、疊序、疊層厚度和扭力軸力之間的交互關係,以期能應用於實務上。

    A nonlinear failure had been used for studying and predicting material failure under the condition of composite laminated cylindrical shells subjected to combined axial force and torsion. This nonlinear failure mode including three parts: first, the nonlinear constitutive law of material before failure; second, the mixed failure criterion to predict the time of failure; third, the analyses of post failure mode.
    The simulation of nonlinear mode before failure for the composite laminated cylindrical shells is assumed that lamina is plastic-elastic in axial and transverse directions, and using constant shear parameter in in-plane. The mixed failure criterion, combining the excellence of Tsai-Wu theory and maximum stress theory, had been used for judging failure timimg. During analyzing of post failure mode for the composite laminated cylindrical shells, the brittle failure mode had been adopted in axial and shear direction, and degrading mode in transverse direction.
    The result of the nonlinear failure mode will compare with the experimental data of composite laminated cylindrical shells subjected to torsion to verify the mode in this study correct.
    Finally, using the models in this study discuss the composite laminated cylindrical shells under the different boundary conditions, ratio of length to radius, order of laminates, thickness of laminates, and torsion-axial forces to apply in engineering.

    論文摘要.............................................I ABTRACT.............................................II 誌謝...............................................III 目錄................................................IV 圖目錄............................................VIII 符號說明..........................................XIII 第一章 序論.........................................1 1.1 前言..........................................1 1.2 研究主題與目的.................................3 第二章 纖維複材疊層板之基本公式.....................6 2.1 複材簡介......................................6 2.2 正向性單層板的線性應力-應變關係...............7 2.3 正向性單層板的非線性分析模式..................9 2.4 單層板在任意座標的非線性應力-應變關係........10 第三章 複材之破壞準則理論回顧......................13 3.1 序言.........................................13 3.2 破壞準則之內容...............................13 3.3 極限理論概述.................................14 3.3.1 最大應力準則(Maximum Stress Criteria).....14 3.3.2 最大應變準則(Maximum Strain Criteria).....15 3.4 應變能理論概述...............................18 3.4.1 von Mises等向性降伏準則...................18 3.4.2 Tsai-Hill破壞準則.........................19 3.5 多項式理論概述...............................21 3.5.1 Hoffman破壞準則...........................21 3.5.2 Tsai-Wu破壞準則...........................23 3.6 直接模式運算理論概述.........................25 3.6.1 Hashin-Rotem破壞準則......................25 3.6.2 Hashin破壞準則............................28 3.6.3 Lee破壞準則...............................29 3.6.4 Edge破壞準則..............................30 3.6.5 Chang破壞準則.............................32 第四章 建議之非線性破壞分析模式....................34 4.1 序論.........................................34 4.2 材料破壞發生前之非線性組成律(Nonlinear Constitutive Law)................................................35 4.3 混合破壞準則(Mixed Failure Criterion)........36 4.4 後破壞分析模式(Post Failure Modes)...........38 4.5 正規化破壞應力及破壞貢獻度...................40 4.6 複材疊層板之控制方程式.......................41 第五章 數值模型之建立與分析結果討論.................43 5.1 複合材料概述...................................43 5.2 數值模型的建立與材料性質描述...................44 5.2.1 數值模型建立的方法...........................44 5.2.2 材料性質描述.................................46 5.3分析模式之驗證與收斂性分析.......................47 5.4 分析內容概述...................................49 5.4.1 邊界條件對複合材料圓柱殼的影響...............49 5.4.2 圓柱尺寸對複合材料圓柱殼受扭力的影響.........50 5.4.3 扭力和軸拉、軸壓一同作用對圓柱殼複材的影響...53 第六章 結論與建議..................................58 6.1 結論...........................................58 6.2 建議...........................................60 參考文獻............................................61 附圖(Figures).......................................64 附錄(Appendix).....................................108 附錄A..............................................109 附錄B..............................................118

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