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研究生: 劉嘉文
Liu, Chia-Wen
論文名稱: 開孔纖維複材疊層板在雙軸張應力之非線性破壞分析
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: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 136
中文關鍵詞: 複合材料雙軸力
相關次數: 點閱:137下載:8
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  •   在本篇研究當中,使用一套非線性破壞分析模式,針對開孔纖維加強複合材料疊層板承受雙軸張應力作用下,進行材料之破壞預測及分析探討。此非線性破壞分析模式包含三部分:
      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。
    對於開孔複材單層板破壞前之非線性行為,均假設材料在軸向(纖維)及側向(基材)均為彈性-塑性行為,而面內剪力則使用定值剪力參數來描述之。對於用於破壞時機之預測,則結合Tsai-Wu破壞準則及最大應力準則,稱之為混合破壞準則。後破壞分析模式中,對單層板軸向及剪力之行為假設成脆性破壞模式,而側向則採用逐降模式模擬之。

      該非線性破壞分析模式所預測之結果,將分別與開孔複材疊層板之實驗數據結果做比較,以證明纖維加強開孔複合材料疊層板在雙軸拉力作用下,本文所建議之分析模式正確且合理。最後,將影響複材疊層板強度的三種因素:孔徑、疊序及應力比三者之間相互做一系列的探討,以期能適切應用於工程上。

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    目 錄 章節 頁次 摘要..............................................................Ⅰ 誌謝..............................................................Ⅱ 目錄..............................................................Ⅲ 圖目錄...........................................................Ⅵ 符號說明...............................................ⅩⅠ 第一章 序論......................................................1 1.1 研究動機................................................1 1.2 研究領域................................................1 1.3 研究主題及目的.........................................4 第二章 複材疊層板之基本分析模式..............................6 2.1 前言..................................................6 2.2 正向單層板之線性應力應變關係........................8 2.3 正向單層板之非線性分析模式..........................10 2.4 單層板在任意座標之非線性應力應變關係.........11 第三章 破壞準則與理論之回顧..................................13 3.1 前言...................................................13 3.2 破壞準則...............................................13 3.3 極限理論...............................................14 3.3.1 最大應力理論...................................14 3.3.2 最大應變理論...................................15 3.4 應變能理論............................................18 3.4.1 von Mises等向降伏準則.......................18 3.4.2 Tsai-Hill破壞準則...............................19 3.5 多項式理論............................................21 3.5.1 Hoffman破壞理論...............................21 3.5.2 Tsai-Wu破壞理論..............................23 3.6 直接模式運算理論..................................26 3.6.1 Hashin-Rotem破壞準則..........................26 3.6.2 Hashin破壞準則.................................28 3.6.3 Lee破壞準則....................................30 3.6.4 Chang破壞準則.................................31 3.6.5 Edge破壞準則...................................32 第四章 建議之非線性破壞分析模式............................. 35 4.1 非線性破壞分析模式之敘述............................35 4.2 非線性組成律.................................36 4.3 混合破壞準則..........................................37 4.4 後破壞模式............................................38 4.5 複材疊層板之控制方程式..............................41 4.6 正規化應力及破壞貢獻度..............................41 第五章 數值分析結果...........................................44 5.1 前言...................................................44 5.2 數值分析模型、方法與材料性質之描述.................45 5.2.1 數值分析模型與方法............................45 5.2.2 材料之基本性質.................................47 5.3 非線性破壞分析模式之確認與收斂性分析..............48 5.4 分析內容概述..........................................50 5.4.1 應力集中現象.................................51 5.4.2 應力比(1:1 ) Quasi-isotropic 疊層板........51 5.4.3 應力比(1:1 ) 對稱正交型疊層板................52 5.4.4 應力比(1:1 ) 對稱角交型疊層板................54 5.4.5 應力比(1:0.5) 對稱正交型疊層板.............56 5.4.6 應力比(1:0.5) 對稱角交型疊層板.............57 5.4.7 應力比(1:0) 對稱正交型疊層板................58 5.4.8 應力比(1:0) 對稱角交型疊層板................60 第六章 結論與建議.............................................61 6.1 結論...................................................61 6.2 建議...................................................63 參考文獻.........................................................65 附圖..............................................................69 附錄.............................................................122 附錄A Fortran Subroutine-Mixed Failure Criterion................123 附錄B ABAQUS Program Input File............................133

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