彈性材料圓孔非對稱變形近似解研究

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姓名

李瑋傑(Wei-Jay Lee) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

彈性材料圓孔非對稱變形近似解研究

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摘要(中)

本文是以偏微分方程理論和有限元素分析來推導圓孔的非對稱變形近似解，結果與文獻中之Hou-Abeyaratne變形場(簡稱HAF，即Hou-Abeyaratne field)近似，證實了本文所採用方法之有效性。

摘要(英)

This paper is based on the theory of partial differential equations and finite element analysis to derive the cavitations asymmetric deformation approximate solution and the existing literature Hou-Abeyaratne deformation field (abbreviated HAF, namely Hou-Abeyaratne field) compared with those obtained similar results, verify the effectiveness of methods used in this paper.

關鍵字(中)

★ 非對稱圓孔變形

關鍵字(英)

★ Hou-Abeyaratne field

論文目次

目錄
摘要.....................................................II
Abstract.................................................III
致謝......................................................IV
圖目錄......................................................V
表目錄.....................................................VI
符號說明..................................................VII
第一章緒論..................................................1
第二章基礎理論
2-1橡膠材料變形控制方程的推導...............................3
2-2模型的幾何、尺寸及邊界條件
2-2-1模型的建立........................................6
2-2-2網格的建立........................................8
2-2-3邊界條件的建立...................................10
第三章 Hou-Abeyaratne變形場.................................11
第四章 HAF的推廣............................................18
第五章有限元素與結果分析.....................................24
第六章結論.................................................36
參考文獻...................................................37

參考文獻

1. J.M. Hill, Some partial solutions of finite elasticity. Ph.D. thesis, University of Queensland(1972)
2. J.M. Hill, On static similary deformation for isotropic materials. Q. Appl. Math., 40(1982)287-291
3. H.C Lei (李顯智) and J.A.Blume ,Lie group and invariant solution of the plane-strain equation of motion of a neo-Hookean solid. Int. J. Non-linear Mech. , 31(1996)565-482
4. H.C. Lei(李顯智) and M.J Hung , Linearity of waves in some systems of non-linear elasodynamics. Int. J. Non-Linear Mech. ,32(1997)353-360
5. H.C. Lei(李顯智)(2005), Sequentilly linearizable initial-boundary value problems for a neo-Hookean cylinder, Journal of the Chinese Institute of Engineers,28(2005)763-769.
6. F. A. McClintock, A criterion for ductile fracture by the growth of joles. J. Appl. Mech. , 35 (1968) 363-371.
7. A. Needleman, Void growth in an elastic-plastic medium. J. Appl. Mech., 39 (1972) 964-970.
8. A. L. Gurson, Contunuum theory of ductile rupture by void nucleation and growth : part I – yield criteria and flow rules for porous ductile media.
9. U. Stigh, Effects of interacting cavities on damage parameter J. Appl. Mech, 53 (1986)485-490.
10. J. M. Ball, Discontinous equilibrium solutions and cavitation nonlinear elasticity. Phil. Trans. R. Soc. Lond, A306 (1982) 557-610.
11. J. Sivaloganathan and S. J. Spector, On cavitation, configurational forces and inplications for fracture in a nonlinearly elastic material. J. Of Elasticity, 67 (2002) 25-49.
12. C. A. Stuart, Radially symmetric cavitation for hyperelastic materials, Ann. Inst. Henri Poincare-Analyse non lineare, 2 (1985) 33-66.
13. C.O. Horgan and R. Abeyaratne, A bifurcation problem for a compressible nonlinearly elastic medium: growth of a micro-void. J. Elasticity, 16(1986) 189-200.
14. F. Meynard, Existence and nonexistence results on the radially symmetric cavitation problem. Quart. Appl. Math. 50 (1922) 201-226.
15. C. A. Stuart, Estimating the critical radius for radially symmetric cavitation, Quart. Appl. Math., 51 (1993)251-263.
16. S. Biwa, Critical stretch for formation of a cylindrical void in a compressible hyperelastic material. Int. J. Non-Linear Mech., 30 (1995) 899-914.
17. S. Biwa, E.matsumoto and T. Shibata, Effect of constitutive parameters on formation of a spherical void in a compressible non-linear elastic material. J. Appl. Mech. 61 (1994) 395-401.
18. H. C. Lei (李顯智) and H. W. Chang, Void formation and growth in a class of compressible solids. J. Engrg. Math., 30 (1996) 693-706.
19. H.S. Hou and R. Abeyaratne, Cavitation in elastic and elastic-plastic solids. J.Mech.Phys.Solids,40(1992)571-592.
20. M. Danielsson, D.M. Parks and M.C. Boyce, Constitutive midelong of porous hyperelastic matirial.Mech.Mater.,36(2004)347-358.
21. J.Li, D. Mayau and F. Songm A constitutive model for cavitation and cavity growth in ruber-like materials under arbitrary tri-axial loading. Int. J. Solids struct., 44(2007)6080-6100.
22. J. Li D. Mayau and V. Lagarrigue, A constitutive model dealing with danage due to cavity growth and the mullins effect in rubber-like matirials under triaxial loading. J. Mech. Phys. Solids, 56(2008)953-973.
23. R.W. Ogden,“Non-Linear Elastic Dfomations” .Ellis Horwood Limited, Chichester, England,1984.
24. J. Kevorkian, “patial Differetial Equations Analytical Solution Techniques”.Wadsworth & Brooks/Cole Pub. Co., California, USA,1989.
25. H. D. Hibbitt, B. I. Karlsson, and E. P. Sorensen, ABAQUS Users Manual, Version 4.7. Providence, Rhole Island, USA, 1988.

指導教授

李顯智(Hin-chi Lei)

審核日期

2013-7-18

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