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研究生:李承哲
研究生(外文):Lee, Cheng-Che
論文名稱:三維異向性材料旋轉體與楔形體之應力奇異性分析
論文名稱(外文):The analyses of stress singularities of anisotropic Bodies of revolution and wedges based on three-dimensional elasticity theory
指導教授:黃炯憲黃炯憲引用關係
指導教授(外文):Huang, Chiung-Shiann
學位類別:碩士
校院名稱:國立交通大學
系所名稱:土木工程學系
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:2012
畢業學年度:100
語文別:中文
論文頁數:80
中文關鍵詞:異向性材料應力奇異性旋轉體楔形體
外文關鍵詞:anisotropic materialsstress singularityBody of revolutionwedge
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  • 被引用被引用:0
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  • 下載下載:17
  • 收藏至我的研究室書目清單書目收藏:1
本研究為探討三維異向性材料旋轉體及楔型體於邊界與材料性質不連續處之應力奇異性。利用特徵函數展開法,並結合級數解之技巧以建立旋轉體及楔形體之彈性應力奇異性漸進解。該漸進解為直接求解以位移分量表示之三維力平衡方程式。利用比較文憲中等向性材料之結果確認本研究所推導解之正確性。本研究考慮組成旋轉體與楔形體之材料可為等向性材料(Isotropic material)、正交性材料(Orthotropic material)及三斜晶體(Triclinic material)。數值結果顯示單一異向性材料或雙材料(正交性/等向性,三斜晶體/等向性)之奇異性階數,明顯受幾何形狀、邊界條件與材料性質之影響。此些結果均見於文獻,可做為將來發展數值解之比對。
The work investigates the stress singularities induced by discontinuities of boundaries or material properties in anisotropic bodies of revolution and wedges. An eigenfunction expansion approach is combined with a power series solution technique to establish the asymptotic solutions around the singular points in bodies of revolution and wedges. The asymptotic solutions are developes by directly solving the 3D equations of equilibrium in terms of displacement components. The correctness of the proposed solutions are validated by comparing the present results with the published ones for isotropic bodies of revolution and wedges. Bodies of revolution and wedges under consideration are made of isotropic, orthotropic or triclinic materials. Numerical results reveal that the geometrically-induced stress singularities in bodies of revolution or wedges made of a single anisotropic material or two materials (orthotropic/isotropic, triclinic/isotropic) are significantly affected by geometry, boundary conditions and material properties. The present results can be used as a check on the solutions via numerical techniques such as finite element approaches.
摘要 I
Abstract II
誌謝 III
目錄 V
表目錄 VII
圖目錄 VIII
第一章 緒論 1
§1.1前言 1
§1.2研究動機與方法 1
§1.3文獻回顧 1
§1.4研究內容 3
第二章 三維旋轉體之幾何所引致應力奇異解 5
§2.1平衡方程式 5
§2.2本構方程式 5
§2.3彈性材料常數座標轉換 6
§2.4應力與位移之關係 8
§2.5圓柱 座標轉換成角函數 座標 10
§2.6 ρ→0之奇異性漸進解 13
§2.7連續條件與邊界條件之滿足 20
§2.8正交性材料(Orthotropic Materials)之特性 21
第三章 旋轉體應力奇異階數分析 24
§3.1方法驗證與收斂性分析 24
§3.2矽化鈦旋轉體之奇異性分析 27
§3.3不同正交性材料之影響 28
§3.4矽化鈦彈性係數改變之影響 30
3.4.1 Case1 30
3.4.2 Case2 30
3.4.3 Case3 31
§3.5雲矽鈣石旋轉體之應力奇異性 32
§3.6雙材料旋轉體之應力奇異性 33
第四章 三維楔形體之幾何所引致應力奇異解 47
§4.1 r→0之奇異性漸進解 48
§4.2連續條件與邊界條件之滿足 53
§4.3正交性材料(Orthotropic Materials)之特性 53
第五章 楔形體結果分析 56
§5.1方法驗證與收斂性分析 56
§5.2矽化鈦楔形體之奇異性分析 58
§5.3雙材料旋轉體之應力奇異性 59
5.3.1 矽化鈦/等向性材料 雙材料楔形體 59
5.3.2正交性材料/等向性材料 雙材料楔形體 62
5.3.3雲矽鈣石/等向性材料 雙材料楔形體 63
第六章 結論與建議 75
§6.1 結論 75
6.1.1 三維旋轉體 75
6.1.2 三維楔形體 76
§6.2 建議 77
參考文獻 78
[1] C.S. Huang and A.W. Leissa, “Threee-Dimensional Sharp Corner Displacement Functions for Bodies of Revolution”, Journal of Applied Mechanics, 74, pp.41-46, 2007
[2] C.S. Huang and A.W. Leissa, “Stress Singularities in Bimaterial Bodies of Revolution”, Composite Structures, 82, pp.488-498, 2008
[3] A.H. England, “On Stress Singularities in Linear Elasticity”, International Journal of Engineering Science, 9(6), pp.571–585, 1971
[4] D.B. Bogy, “The Plane Solution for Anisotropic Elastic Wedges under Normal and Shear Loading”, Journal of Applied Mechanics, 39, pp.1103-1109, 1972
[5] M.C. Kuo, D.B. Bogy, “Plane Solutions for the Displacement and Traction-Displacement Problems for Anisotropic Elastic Wedges”, Journal of Appiedl Mechanics, 41,pp.197-202, 1974
[6] M.C. Kuo, D.B. Bogy, “Plane Solutions for Traction Problems on Orthotropic Unsymmetrical Wedges and Symmetrically Twinned Wedges”, Journal of Appiedl Mechanics, 41, pp.203-208, 1974
[7] C.C. Ma, B.L. Hour, “Analysis of dissimilar Anisotropic Wedges Subjected to Antiplane Shear Deformation”, International Journal of Solids and Structures, 25, pp.1295-1309, 1989
[8] K.Y. Lin, H.H. Hartmann, “Numerical Analysis of Stress Singularities at a Bonded Anisotropic Wedge”, Engineering Fracture Mechanics, 32, pp.211-224, 1989
[9] C.H. Chue, “A General Solution on Stress Singularities in an Anisotropic Wedge”, International Journal of Solids and Structures, 38, pp.6889-6906, 2001
[10] C.H. Chue, “On Stress Singularities in an Anisotropic Wedge for Various Boundary Conditions”, Composite Structures, 54, pp.87-102, 2001
[11] C.I. Liu, “On the Stress Singularity of dissimiliar Anisotropic Wedges and Junctions in Antiplane Shear”, Composite Structures, 73, pp.432-442, 2006
[12] H.P. Chen, “Stress Singularities in Anisotropic Multi-Material Wedges and Junctions”, International Journal of Solids and Structures, 35(11), pp.1057-1073, 1998
[13] T.C.T. Ting, “Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites”, Journal of Solids and Structures, 22, pp.965-983, 1986
[14] S.S. Pageau, S.B. Biggers Jr., “A Finite Element Approach to Three-Dimensional Singular Stress States in Anisotropic Multi-Material Wedges and Junctions”, International Journal of Solids and Structures, 33(1), pp.33-47, 1996
[15] F. Delale, “Stress Singularities in Bonded Anisotropic Materials”, International Journal of Solids and Structures, 40, pp.31-40, 1984
[16] C.B. Hwu, “A Key Matrix N ̂ for the Stress Singularity of the Anisotropic Elastic Composite Wedges”, Japan Society of Mechanical Engineers, 46(1), pp.40-50, 2003
[17] S.S. Pageau, “Finite Element Analysis of Anisotropic Materials with Singular Inplane Stress Fields”, International Journal of Solids and Structures, 32(5), pp.571-591, 1995
[18] Y.P. Tseng, C.S. Huang, C.J. Lin , “Dynamic Stiffness Analysis for In-plane Vibrations of Arches with Variable Curvature”, Journal of Sound and Vibration, 207(1), pp.15-31, 1997
[19] P. Ravindran, J. Will, O. Eriksson, “Density functional theory for calculation of elastic properties of orthorhombic crystals: Application to TiSi2”, Journal of Applied Physics, 84(9), pp.4891-4900, 1998
[20] R.F.S. Hearmon, “The Elastic Constants of Anisotropic Materials”, Reviews of Modern Physics, 18(3), pp.409-440, 1946
[21] “Library of Congress Cataloging-in-Publication Data”, pp.46-54, 1995
[22] R. Shahsavari, M.J. Buehler, R.J.-M. Pellenq, F.-J. Ulm, “First-Principles Study of Elastic Constants and Interlayer Interactions of Complex Hydrated Oxides: Case Study of Tobermorite and Jennite”, Journal of American Ceramic Society, 92(10), pp.2323-2330, 2009

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