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研究生: 廖乙璋
Liao, Yi-Chang
論文名稱: 含雙缺陷蜂巢材料潛變斷裂與潛變挫曲之數值分析
Numerical Analysis of Creep-Rupturing and Creep-Buckling of Honeycombs with Dual Imperfections
指導教授: 黃忠信
Huang, Jong-Shin
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: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 96
中文關鍵詞: 蜂巢材料潛變斷裂潛變挫曲
外文關鍵詞: honeycombs, creep-rupturing, creep-buckling
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  • 蜂巢材料於高溫環境下承受一固定應力時,將可能發生潛變斷裂、潛變挫曲或潛變彎曲等三種不同破壞模式,當蜂巢材料具有彎曲微桿件與肥厚區域微結構缺陷時,將對蜂巢材料潛變破壞時間造成極大影響。蜂巢材料潛變及潛變挫曲已有理論解,本研究將藉由有限元素套裝軟體,探討現存潛變斷裂及潛變挫曲理論分析結果之正確性。

    有限元素數值分析蜂巢材料楊氏模數與潛變速率時,採用幾何線性小變形加以計算,數值解與理論解於微結構缺陷小時,誤差皆小於5%。但線性小變形幾何處理會去除潛變破壞的可能性,於是進行數值分析潛變破壞時,改以幾何非線性大變形方式處理。結果顯示,唯有載重較小時,潛變斷裂破壞時間之理論解較接近數值解,而潛變挫曲破壞時間之理論解,不論微結構缺陷小時或載重小時,皆與數值解差異甚大。

    When honeycombs are constantly loaded at high temperatures, there are three possible failure mechanisms including creep-rupturing, creep-buckling and creep-bending. Meanwhile, the effects of dual microstructural imperfections of curved cell edges and Plateau borders on failure times are drastic and have been analyzed theoretically. In this study, a commercial finite element package was employed to numerically determine the failure times of honeycombs with the dual imperfections. Then, the numerical FEA results of creep-rupturing and creep-buckling are compared to existing theoretical results to verify their accuracy.

    Using geometrically linear concept in finite element numerical analyses, the differences of Young’s modulus and creep strain rate between numerical and theoretical results are smaller than 5% under small microstructural imperfections. To avoid the suppression of creep failure, geometrically nonlinear concept was used to numerically analyze the creep behavior of honeycombs with dual imperfections. Results indicate that theoretical creep-rupturing failure times are close to numerical values only if the applied stress is small. But, the differences of creep-buckling failure times between theoretical and numerical values are dramatic even applied stress or microstructural imperfections are small.

    摘要 ......................................................... I Abstract .................................................... II 致謝 ....................................................... III 目錄 ........................................................ IV 表目錄 ...................................................... VI 圖目錄 .................................................... VIII 第一章 緒論 .................................................. 1 1.1 前言 .................................................. 1 1.2 研究動機與目的 ........................................ 2 1.3 本文內容與組織 ........................................ 3 第二章 文獻回顧與相關理論 .................................... 4 2.1 蜂巢幾何 .............................................. 4 2.2 蜂巢潛變 .............................................. 5 2.3 潛變斷裂與潛變彎曲 .................................... 7 2.4 潛變挫曲 .............................................. 8 第三章 潛變斷裂之數值分析 ................................... 17 3.1 模型的建立 .......................................... 17 V 3.2 模型線性幾何變形處理驗證 ............................ 18 3.2.1 E 2 的驗證 ....................................... 18 3.2.2 e 2 的驗證 ....................................... 20 3.3 線性與非線性幾何變形處理差異 ......................... 22 3.4(e s) max 之數值分析 ..................................... 23 3.5 潛變斷裂破壞時間結果與討論 ........................... 26 第四章 潛變挫曲之數值分析 ................................... 64 4.1 直桿大變形挫曲整理 ................................... 65 4.2 潛變挫曲破壞物理現象 ................................ 66 4.3 潛變挫曲破壞數值分析 ................................ 68 4.4 破壞時間結果與討論 ................................... 68 第五章 結論 ................................................. 87 參考文獻 .................................................... 89 附錄 ........................................................ 90

    [1] F.C. Monkman and N.J. Grant, An Empirical Relationship between
    Rupture Life and Minimum Creep Rate in Creep-Rupture Tests , Proc.
    ASTM , 56, 593-620 (1956).
    [2] 陳婷容,蜂巢與泡沫材料之潛變斷裂與潛變挫曲,成功大學土木工程
    研究所博士論文(2008)
    [3] A.E. Simone and L.J. Gibson, Effects of Solid Distribution on the Siffness
    and Strength of Metallic Foams , Acta Mater , 46, 2139-2150(1998)
    [4] E.W. Andrews , L.J. Gibson , M.F. Ashby , The Creep of Cellular Solids ,
    Acta Mater , 47 , 2853-2863(1999)
    [5] 楊美怡,含雙缺陷蜂巢材料於多軸應力作用下之力學行為,成功大學
    土木工程研究所博士論文(2007).
    [6] F. Jouneid and K. Sab, Elastic Buckling of 2-D Random Honeycombs: Does
    a Representative Volume Element Exists, IUTAM Symposium on
    Mechanical Properties of Cellular Materials, 12,77-86(2007).
    [7] J. Hult, Creep of Engineering Materials and Structures, Applied Science,
    London, 133-145(1978).
    [8] S.P. Timoshenko and J.M. Gere, Theory of Elastic Stability,2nd edition,
    McGraw-Hill, USA(1988).
    [9] K. Harry, Creep Analysis, John Wiley & Sons, USA(1980)

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