跳到主要內容

臺灣博碩士論文加值系統

(54.224.117.125) 您好!臺灣時間:2022/01/28 20:03
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

: 
twitterline
研究生:林志吉
研究生(外文):Chih-Chi Lin
論文名稱:具滑移面楔形體之應力奇異性分析
指導教授:宋見春
指導教授(外文):Jian-Chuen Sung
學位類別:碩士
校院名稱:國立成功大學
系所名稱:土木工程學系碩博士班
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:64
中文關鍵詞:應力奇異性楔形體滑移面
外文關鍵詞:frictional interfacewedgestress singularity
相關次數:
  • 被引用被引用:3
  • 點閱點閱:192
  • 評分評分:
  • 下載下載:18
  • 收藏至我的研究室書目清單書目收藏:0
摘 要
本文探討由多種異向性材料所組成且接合面具滑移性質之楔形體之應力奇異性分析。在廣義平面應變的假設下,採用圓柱座標系統來描述位移場、應力場及平衡方程式,進而建立一階變係數之控制方程式。應用Richardson外差法求解此控制方程式,且配合接合面之連續條件,可推導出在不同的邊界條件下之特徵方程式,並藉由此套程序來分析應力奇異性的變化。由文中所探討的問題中,除了可以驗證數值法之可靠性與精確度外,亦可了解到材料形式、楔形體之展開角、邊界條件及滑移性質等因素對應力奇異性之影響。
目錄
摘要……………………………...…………………………….…….…...I
誌謝…………………………………………………………….II
目錄……………………..……………………………………….…..…III
表目錄…………………...…………………………………….……..…V
圖目錄…………………………………………………...…….…...…VII

第一章 緒論……….…..………………….………..…………………..1
1.1 前言………………………..………………………..……….1
1.2 文獻回顧……………………………………………...….….2
1.3 本文綱要…………………………………………………….3

第二章 基本公式……………….…...….....……………….……….…5
2.1 圓柱座標系統下之勁度矩陣……..………………………...5
2.2 平衡方程式………………………………………………….7
2.3 位移與應力之關係………………………………………….8
2.4 控制方程式………………………………………………...10

第三章 Richardson外插法………..…………….………….………12
3.1 Richardson外插法之基本簡介..….………………………..12
3.2 Richardson外插法之應用..…….…..………………………18

第四章 楔形體之應力奇異性分析………………………..…...…23
4.1 多種異向性材料完全結合(Fully Boned)之楔形體應力奇異性分析…………………………………….…………….....23
4.2 具滑移面(Frictional Interface)雙層異向性材料楔形體之應力奇異性分析………………………….……….…………27

第五章 數值分析與討論………………………….…………..……34
5.1 雙層材料楔形體之應力奇異性分析……….……………..35
5.2 單斜晶系(monoclinic)材料楔形體之應力奇異性分析…..43

第六章 結論與建議…………………………………………………51

參考文獻…………………….……………….…………………….….53
附錄…………………………………………………………………….56
自述…………………………………………………………………….64
參考文獻
Auld, B.A.〝Acoustic Fields and Waves in Solids〞, Vol.1 (1973)
Bogy, D.B.〝Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading〞, ASME Journal of Applied Mechanics, Vol.35, pp.460-466 (1968)
Bogy, D. B.〝Two edge-bonded elastic wedge of different materials wedge angles under surface tractions〞, ASME Journal of Applied Mechanics, Vol.38, No.2, pp.377-386 (1971)
Bogy, D.B.〝The plane solution for anisotropic elastic wedge under normal and shear loading〞, ASME Journal of Applied Mechanics, Vol.39, No.4, pp.1103-1109 (1972)
Burden, R.L. and Faires, J.D.〝Numerical Analysis(Sixth Edition) 〞 (1997)
Eshelby, J.D., Read, W.T. and Shockley, W.〝Anisotropic elasticity withapplications to dislocation theory〞, pp.251-259 (1953)
Lekhnitskii, S.G.,〝Theory of Elasticity of an Anisotropic Elastic Body〞(1950 in Russian) (1963 in English)
Li, J., Zhang, X.B. and Recho, N.〝Stress singularities near the tip of a two-dimensional notch formed from several elastic anisotropic materials〞, International Journal of Fracture 107, pp.379-395 (2001)
Ma, C.C. and Hour, B.L.〝Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation〞, International Journal of Solids (1989)

Poonsawat, P., Wijeyewickrema, A.C. and Karasudhi, P.〝Singular stress fields of angle-ply and monoclinic bimaterial wedges〞, International Journal of Solids and structures 38, 91-113 (2001)
Sung, J.C. and Liou, J.Y.〝Singularities at the tip of a crack terminating normally at an interface between two orthotropic media〞, ASME Journal of Applied Mechanics, Vol.63, pp.264-270 (1996)
Sung, J.C. and Lin, Y.Y.〝Stress singularities at the apex of a dissimilar anisotropic wedge〞, ASME Journal of Applied Mechanics, Vol.65, pp.454-463 (1998)
Suo, Z.〝Singularities,interfaces and cracks in dissmollar anisotropic media〞Proceedings of the Royal Society of London, 331-358, A427 (1990)
Ting, T.C.T. and Chou, S.C.〝Edge singularities in anisotropic composites〞, International Journal of Solids and structures 17, 1057-1068 (1981)
Ting, T.C.T. and Hoang, P.H.,〝Singularities at the tip of a crack normal to the interface of an anisotropic layered composite〞, International Journal of Solids and structures 20, 439-454 (1984)
Ting, T.C.T. 〝Explicit solutions and invariance of the singularities at an interface crack in anisotropic composites〞, International Journal of Solids and structures 22, 965-983 (1986)
Tranter, C.J.〝The use of the Mellin transform in finding the stress distribution in an infinite wedge〞, Quarterly of Applied Mathematics, Vol.1, pp.125-130 (1948)

Williams, M.L.〝Stress singularities resulting from various boundary conditions in angular corners of plates in extension〞, ASME Journal of Applied Mechanics, Vol.19, pp.526-528 (1952)
Wu, K.C. and Chang F.T.〝Near-Tip field in a notched body with dislocations and body forces〞, Journal of Applied Mechanics, Vol.60. No.4, pp.936-941 (1993)
Zwiers, R.I., Ting, T.C.T. and Spilker, R.L.〝On the logarithmic singularity of free-edge stress in laminated composites under uniform extension〞, ASME Journal of Applied Mechanics, Vol.49, pp.561-569 (1982)
張志仰, 〝多種材料結合之楔形體之應力奇異性分析〞, 國立成功大學土木工程研究所碩士論文 (民國90年六月)
連結至畢業學校之論文網頁點我開啟連結
註: 此連結為研究生畢業學校所提供,不一定有電子全文可供下載,若連結有誤,請點選上方之〝勘誤回報〞功能,我們會盡快修正,謝謝!
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top