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研究生: 陳信甫
chen, Hsin-pu
論文名稱: 複合材料薄壁箱型構件受彎矩及軸力聯合載重之數值分析
Numerical Analysis of Thin-Walled Composite Box Beam under Combined Bending and Axial Force
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: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 145
中文關鍵詞: 數值分析複合材料箱型樑
外文關鍵詞: numerical analysis, box beam, composite
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  • 在本篇研究中,針對複合材料薄壁構件箱型樑受彎矩及軸力載重下的情況,使用一套非線性破壞分析模式,進行材料的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、2.預測破壞時機的混合破壞準則、3.後破壞分析模式。
    複合材料薄壁構件箱型樑破壞前的非線性行為模擬,均假設纖維複合材料單層板在軸向(纖維)及側向(基材)均為彈性-塑性行為,而面內剪力使用定值剪力參數來模擬之。對於破壞時機的預測及判斷,結合了Tsai-Wu破壞準則和最大應力準則的優點,稱為混合破壞準則。在後破壞行為分析中,對複合材料單層板軸向、側向和剪力方向之行為均假設成脆性破壞模式。
    對於非線性破壞分析模式所預測之結果,將與複合材料薄壁構件箱型樑受集中力作用產生彎矩下之實驗數據結果做比較,以驗證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,延伸探討複合材料薄壁構件箱型樑受彎矩及軸力作用下,在不同長度、斷面尺寸、疊序和彎矩結合軸力之間的交互影響關係,進而作出歸納和討論以期能應用在實務上。

    A nonlinear failure mode had been used for studying and predicting
    material failure under the condition of thin-walled composite box beam and subjected to combined bending and axial force. 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 analysis of post failure mode.
    The simulation of nonlinear mode before failure for the thin-walled composite box beam 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 judge failure timing. During analyzing of post failure mode for the thin-walled composite box beam, the brittle failure mode had been adopted in axial, shear and transverse direction.
    The result of the nonlinear failure mode will compare with the experimental data of thin-walled composite box beam subjected to bending to verify the mode in this study correct.
    Finally, using the models in this study discuss the thin-walled composite box beam under the different length, section size, order of laminates, and bending-axial forces to apply in engineering.

    論文摘要…………………………………………………………………….Ⅰ ABSTRACT………………………………………………………………. Ⅱ 致謝………………………………………………………………………… Ⅲ 目錄…………………………………………………………………………IV 圖目錄……………………………………………………………………VII 符號說明…………………………………………………………………XX 第一章 序論………………………………………………………………...1 1.1 前言………………………………………………………………..1 1.2 研究主題與目的…………………………………………………..4 第二章 複合材料疊層板之基本公式………………….…………………6 2.1 複合材料簡介……………………………………………………..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 複合材料之破壞準則理論回顧………………………………….13 3.1 前言………………………………………………………………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………………………………………...14 3.3.2 最大應變準則………………………………………...16 3.4 應變能理論概述…………………………………………………18 3.4.1 von Mises等向性降伏準則…………………………..19 3.4.2 Tsai-Hill破壞準則……………………………………19 3.5 多項式理論概述…………………………………………………22 3.5.1 Hoffman破壞準則……………………………………22 3.5.2 Tsai-Wu破壞準則…………………………………….24 3.6 直接模式運算理論概述…………………………………………26 3.6.1 Hashin-Rotem破壞準則…………………………….26 3.6.2 Hashin破壞準則…………………………………….29 3.6.3 Lee破壞準則………………………………………...30 3.6.4 Edge破壞準則……………………………………….32 3.6.5 Chang破壞準則……………………………………...34 第四章 建議之非線性破壞分析模式…………………………………….35 4.1 概述……………………………………………………………...35 4.2 材料破壞發生前之非線性組成律……………………………...36 4.3 混合破壞準則…………………………………………………...38 4.4 後破壞分析模式………………………………………………...39 第五章 數值模型之建立與分析結果討論……………………………….42 5.1 前言……………………………………………………………42 5.2 數值模型的建立………………………………………………...43 5.3 材料性質描述…………………………………………………...45 5.4 分析模式驗證與收斂性分析…………………………………...46 5.5 分析內容………………………………………………………...48 5.5.1 模型尺寸對複合材料薄壁構件受集中力的影響…..51 5.5.2 集中力分別和軸拉、軸壓同時作用下對複合材料薄壁 構件影響….………………………………………… 55 第六章 結論與建議……………………………………………………….60 6.1 結論……………………………………………………………...60 6.2 建議…………………………………………....................63 參考文獻…………………………………………………………………….65 附圖………………………………………………………………….69 附錄…………………………………………………………………126 附錄A Fortran Subroutine Mixed Failure Criterion………………127 附錄B ABAQUS Program Input File……………………………………..136 附錄C ABAQUS結合Fortran使用方法………………………………..144 自述…………………………………………………………………145

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