簡易檢索 / 詳目顯示

研究生: 劉錦沐
Liu, Jin-Mu
論文名稱: 界面具滑移性質之雙層楔形體之奇異性分析
指導教授: 宋見春
Sung, Jen-Chun
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: 2004
畢業學年度: 92
語文別: 中文
論文頁數: 82
中文關鍵詞: 異向性楔形體滑移面應力奇異性
外文關鍵詞: anisotropic, wedge, stress, singularity, frictional
相關次數: 點閱:129下載:3
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  •   本文探討兩種異向性材料組成且交界面具滑移或完全結合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Stroh formalism來描述位移場、應力場及平衡方程式,並建立楔形體邊界為零曳引力和零位移之特徵方程式,藉由此特徵方程來分析應力奇異性之大小。由本文的研究,可了解材料組成、楔形體展開角、邊界條件及結合面滑移性質等因素對應力奇異性之影響。由這些因素配置關係,可使應力奇異性減弱甚或消失,間接地可提升工程結構物使用的安全性。

    none

    目錄 摘要…………………………………………………………………………I 誌謝…………………………………………………………………………II 目錄…………………………………………………………………………IV 表目錄………………………………………………………………………VII 圖目錄………………………………………………………………………VIII 第一章 緒論…………………………………………………………………1 1.1 前言……………………………………………………………… 1 1.2 文獻回顧………………………………………………………… 2 1.3 本文綱要………………………………………………………… 4 第二章 基本公式……………………………………………………………6 第三章 反平面邊界曳引力為零之異向性雙層楔型體應力奇異性分析…………………………………………………………………………… 12 3.1 反平面問題之解析………………………………………… 14 3.2 交界面完全結合雙層單斜晶材料楔形體奇異性分析…… 17 3.3 特殊展開角下之奇異性值………………………………… 22 第四章 反平面邊界固定之異向性雙層材料楔型體應力奇異性分析…………………………………………………………………………… 28 4.1雙單斜晶材料楔形體奇異性分析……………………………28 4.2 特殊展開角下的奇異性值………………………………… 32 第五章 固定端邊界且具滑移面之單斜晶雙材料面內楔形體問題………36 5.1 固定邊界之雙層單斜晶材料滑移面裂縫問題…………… 41 5.2 一元三次方程式求解……………………………………… 45 5.3 特殊材料之特徵值及奇異性值…………………………… 46 第六章 數值分析及討論……………………………………………………55 6.1 雙材料楔形體之應力奇異性……………………………… 59 6.2 反平面邊界固定且交界面完全結合問題之奇異性……… 63 6.3 反平面邊界零曳引力且交界面完全結合問題之奇異性… 63 6.4 邊界固定且交界面完全結合之奇異性…………………… 64 6.5 邊界固定且交界面滑移之奇異性………………………… 68 6.6 邊界零曳引力且交界面完全結合之奇異性……………… 70 6.7 邊界零曳引力且交界面滑移之奇異性…………………… 73 第七章 結論…………………………………………………………………76 參考文獻…………………………………………………………………… 78 自述………………………………………………………………………… 82

    Andrzej Seweryn and Krzysztof Molski, Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions, Engineering Fracture Mechanics 55, 529-556, 1996.

    Bogy, D. B., Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading, ASME Journal of Applied Mechanics 35, 460-466, 1968.

    Bogy, D. B., Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions, ASME Journal of Applied Mechanics 38, 377-386, 1971.

    Bogy, D. B., On the plane elastostatic problem of loaded crack terminating at a material interface, ASME Journal of Applied Mechanics 38, 911-918, 1971.

    Bogy, D. B., The plane solution for anisotropic elastic wedges under normal and shear loading, ASME Journal of Applied Mechanics 39, 1103-1109, 1972.

    Burden, R. L. and Faires, J. D., Numerical Analysis (Seventh Edition) , Brooks / cole., 2001

    Delale, F., Stress singularities in bonded anisotropic materials, International Journal of Solids and Structures 20, 31-40, 1984.

    Dundurs, J., Lee, M.S., Stress concentration at a sharp edge in contact problems, Journal of Elasticity 2, 109-112, 1972.

    Eshelby, J. D., Read, W. T. and Shockley, W., Anisotropic elasticity with applications to dislocation theory, Acta Metallurgica 1, 251-259, 1953.

    Gdoutos, E.E., Theocaris, P.S., Stress concentrations at the apex of a plane indenter acting on an elastic half plane, ASME Journal of Applied Mechanics 42, 688-692, 1975.

    Green, A.E., Zerna, W., Theoretical Elasticity, Clarendon Press, Oxford, U.K., 1954.

    Kalandiia, A.L., Remarks on th singularity of elastic solutions near corners, Journal of Applied Mathematics and Mechanics 33, 127-131, 1969.

    Kuo, M.C., Bogy, D.B., Plane solutions for the displacement and traction-displacement problems for anisotropic elastic wedges, ASME Journal of applied Mechanics 41,197-202, 1974a.

    Lee, V. G., Evaluation of the three-dimensional elastic Green’s function in anisotropic cubic media, International Journal of Engineering Science 40, 1349-1361, 2002.

    Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, San Francisco(in English), 1963.

    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, 379-395, 2001.

    Lin, Y.Y., Sung, J.C., Stress singularities at the apex of adissimilar anisotropic wedge, ASME Journal of Applied Mechanics 65, 454-463, 1998.

    Ma, C. C. and Hour, B. L., Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation, International Journal of Solids 25, 1295-1309, 1989.

    Oh, H-S, Babuška, I., The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities, Journal of Computational Physics 123, 193-212, 1998.

    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.

    Stroh, A.N., Dislocations and cracks in anisotropic elasticity, Philosophical Magazine 3, 625-646, 1958
    Szabó, B.A., Babuška, I., Finite Element Analysis, Wiley, New York, 1991.

    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 63, 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 65, 454-463, 1998.

    Suo, Z., Singularities, interfaces and cracks in dissimilar anisotropic media, Proceedings of the Royal Society of London A427, 331-358, 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 solution and invariance of the singularities at an interface crack in anisotropic composites, International Journal of Solids and Structures 22, 965-983, 1986.

    Ting, T. C. T., Anisotropic elasticity;Theory and Applications, Oxford University Press, Inc, 1996.

    Wang, S.S., Choi, I., Boundary-layer effects in composite laminates; part I free-edge stress singularities; part II free-edge stress solutions and characteristics, ASME Journal of applied Mechanics 49, 541-550, 1982.

    Williams, M.L., Stress singularities resulting from various boundary conditions in angular corners of plates in extension, ASME Journal of Applied Mechanics 19, 526-528, 1952.

    Wu, K. C. and Chang, F. T., Near-Tip fields in a notched body with dislocations and body forces, ASME Journal of Applied Mechanics 60, 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 49, 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, 2001.

    林志吉, 具滑移面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, 2002.

    茅一翔, 楔行面位移固定之應力奇異性分析, 國立成功大學土木工程研究所碩士論文, 2003.

    下載圖示 校內:立即公開
    校外:2004-07-12公開
    QR CODE