內壓力與外加週期荷重作用下新虎克圓球圓孔動態反應

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：12

、訪客IP：18.188.152.124

姓名

吳東昇(Dong-Sheng Wu) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

內壓力與外加週期荷重作用下新虎克圓球圓孔動態反應
(Dynamical Response of Micro Void in Neo-Hookean Sphere under Periodic Load and Internal Load)

相關論文

★ 各種載重作用下neo-Hookean材料微孔動態分析	★ 劉氏保群算法於高雷諾數Burgers方程之應用及探討
★ 彈性材料圓孔非對稱變形近似解研究	★ HAF描述含圓孔橡膠材料三軸壓縮變形的誤差分析
★ 國立中央大學-HAF描述圓形微孔非對稱變形的誤差計算	★ 多微孔橡膠材料受拉變形平面應力分析
★ 非線性彈性固體微孔變形特性	★ 鋼絲網加勁高韌性纖維混凝土於RC梁構件剪力補強研究
★ 高韌性纖維混凝土(ECC)之材料配比及添加物對收縮及力學性質影響	★ 材料組成比例對超高性能纖維混凝土之工作性與力學性質之影響
★ 搜尋週期為四年時使用SDICAE作強震預測的最佳精度設定	★ 牛頓型疊代法二次項效應
★ GEH理論壓密量速算式	★ 擴散管流量解析解
★ 宏觀收斂迭代法速度比較	★ 二次項效應混合型牛頓疊代法之研究

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

本文主要探討Neo-Hookean 材料圓球孔洞運動方程，其在外力作用下，孔洞的擴張情形。由於橡膠材料在工程領域範圍使用繁多，而我們知道橡膠材料的破壞開裂與與其裂縫尖端的孔洞有關，因此本文研究孔洞擴張的行為可供設計者作為參考的依據。橡膠材料在製造的過程中可能由於些許氣泡的產生尚未排出就定型於橡膠材料裡，所以本文主要探討Neo-Hookean材料圓球模型內孔洞在有壓力的作用下與外加週期荷重時的交互作用情形。

摘要(英)

In this paper, a response of solid sphere composed of neo-hookean material which has a micro-void in the center is studied. Because there are many applications of rubber material in the engineering field, and we also know that if there is a micro-void embedded in the material, when the material is subjected to some kind of tensile loadings, the void will grow up, and finally when the loading reach to an critical value, the material will fail. So the critical value will be a reference for the designer.
In the process of manufacture rubber material, there may be some kind of air stay inside of the material, so in the analysis we put a pressure in the void, and the outer surface of the solid sphere is subjected to a harmonic load simultaneously. We will focus on the interaction of the outer loading and inside pressure and find the critical value of the loading.

關鍵字(中)

★ 橡膠材料

關鍵字(英)

★ rubber material
★ void
★ Neo-Hookean
★ harmonic load

論文目次

第一章緒論 1
第二章基礎理論 3
2.1 推導Neo-Hookean運動方程 3
第三章數值誤差的來源 9
3.1 ODE45 ODE23 比較 9
3.2 誤差容忍度 10
第四章圓孔上內壓力與圓球外部週期荷重作用下孔洞變形分析 11
4.1 頻譜分析 11
4.2 P-ymax曲線 17
4.3 PI-Pfail關係 57
第五章結論 59
第六章文獻回顧 60

參考文獻

1. F.A.McClintock, A criterion for ductile fracture by the growth of holes. J.Appl. Mech., 35 (1968) 363-371.
2. A.Needleman, Void growth in an elastic-plastic medium. J.Appl. Mech., 39 (1972) 964-970.
3. A.L.Gurson, Continuum theory of ductile rupture by void nucleation and growth : Part Ⅰ- yield criteria and flow rules for porous ductile media. J.Energ.Matl.Tech.,Trans.ASME, (1977) 2-15.
4. U.Stigh, Effects of interacting cavities on damage parameter. J.Appl. Mech, 53 (1986) 485-490.
5. H.S.Hou and R.Abeyarante, Cavitation in elastic and elastic-plastic solids, J.Mech.Phys.Solids, 40 (1992) 571-592.
6. A.N.Gent,Cavitation in rubber: a cautionary tale. Rubber Chem.Tech., 63 (1990) G49-G53.
7. C.O.Horgan and D.A.Polignone, Cavitation in nonlinearly elastic solids: a review. Appl.Mech.Rev., 48 (1995) 471-485.
8. J. Sivaloganathan and S.J. Spector, On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material. J. of Elasticity, 67(2002)25-49.
9. E. Bayraktar, et. al., Damage mechanisms in natural (NR) and synthetic rubber (SBR): nucleation, growth and instability of the cavitation. Fatique Fract. Engrg. Mater. Struct., 31(2008)184-196.
10. M. Danielsson, D.M. Parks and M.C. Boyce, Constitutive modeling of porous hyperelastic material. Mech. Mater., 36(2004)347-358.
11. J. Li, D. Mayau and F. Song, A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading. Int. J. Solids Struct., 44(2007)6080-6100.
12. O. Lopez-Pamies and P. Ponte Castaneda, Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities: II—Results. J. Mech. Phys. Solids, 55(2007)1702-1728.
13. L. Cheng and T.F. Guo, Void interaction and coalescence in polymeric materials. Int. J. Solids Struct., 44(2007)1787-1808.
14. J.G. Ning, H.F. Liu and L. Shang, Dynamic mechanical behavior and the constitutive model of concrete subjected to impact loadings. Sci. China Ser. G—Phys. Mech. Astron., 51(2008)1745-1760.
15. J. Li, D. Mayau and V. Lagarrigue, A constitutive model dealing with damage due to cavity growth and the Mullins effect in rubber-like materials under triaxial loading. J. Mech. Phys. Solids, 56(2008)953-973.
16. J.M.Ball, Discontinous equilibrium solutions and cavitation in nonlinear elasticity. Phil.Trans.R.Soc.Lond, A306 (1982) 557-610.
17. C.A.Stuart, Radially symmetric cavitation for hyperelastic materials, Ann.Inst.Henri Poincare-Analyse non lineare, 2 (1985) 33-66.
18. 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.
19. F.Meynard, Existence and nonexistence results on the radially symmetric cavitation problem. Quart.Appl.Math. 50 (1992) 201-226.
20. C.A.Stuart, Estimating the critical radius for radially symmetric cavitation, Quart.Appl.Math., 51 (1993) 251-263.
21. S.Biwa, Critical stretch for formation of a cylindrical void in a compressible hyperelastic material. Int.J.Non-Linear Mech., 30 (1995) 899-914
22. 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
23. 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.
24. J.N. Johnson, Dynamic facture and spallation in ductile solids. J. Appl. Phys., 52(1981)2812-2825.
25. R. Cortes, The growth of microvoids under intense dynamic loading. Int. J. Solids Struct. 29(1992)1339-1350.
26. R. Cortes, Dynamic growth of microvoids under combined hydrostatic and deviatoric stresses. Int. J. Solids Struct. 29(1992)1637-1645.
27. F.L. Addessio, J.N. Johnson and P.J. Maudlin, The effect of void growth on Taylor cylinder impact experiments. J. Appl. Phys., 73(1993)7288-7297.
28. Z.P. Wang, Growth of voids in porous ductile materials at high strain rate. J. Appl. Phys., 76(1994)1535-1542.
29. J. Zheng, Y.L. Bai and Z.P. Wang, Influence of inertial and thermal effects on the dynamic growth of voids in porous ductile materials. J. Phys. IV France Colloq. C8 (DYMAT 94) 4(1994)765-770.
30. W. Tong and G. Ravichandran, Inertial effects on void growth in porous viscoplastic materials. Trans. ASME: J. Appl. Mech., 62(1995)633-639.
31. X.Y. Wu, K.T. Ramesh and T.W. Wright, The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading. J. Mech. Phys. Solids, 51(2003)1-26.
32. T.W. Wright and K.T. Ramesh, Dynamic void nucleation and growth in solids: A self-consistent statistical theory. J. Mech. Phys. Solids, 56(2008)336-359.
33. M.S.Chou-Wang and C.O.Horgan, Cavitation in nonlinear elastodynamics for neo-HooKean materials. Int.J.Engrg.Sci., 27 (1989) 967-973.
34. X Yuan, Z. Zhu and C. Cheng, Qualitative analysis of dynamical behavior for an incompressible neo-Hookean spherical shell. Appl. Math. Mech. (English Edition), 26(2005)973-981.
35. X Yuan, Z. Zhu and R. Zhang, Cavity formation and singular periodic oscillations in isotropic incompressible hyperelastic materials. Int. J. Non-Linear Mech., 41(2006)294-303.
36. R.W. Ogden, “Non-Linear Elastic Deformations”. Ellis Horwood Limited, Chichester, England,1984.
37. T.J. Paulson, et. al., Shaking table study of base isolation for masonary buildings. J. Struct. Eng., 117(1991)3315-3336.
38. A.D. Luca, et. al., Base isolation for retrofitting historic buildings: Evaluation of seismic performance through experimental investigation. Earthquake Eng. Struct. Dyn., 30(2001)1125-1145.
39. B. Yoo and Y.H. Kim, Study on effects of damping in laminated rubber bearings on seismic responses for a 1/8 scale isolated test structure. Earthquake Eng. Struct. Dyn., 31(2002)1777-1792.
40 Y.M. Wu and B. Samali, Shake table testing of a base isolated model. Eng. Struct., 24(2002)1203-1215.
41. N. Lakshmanan, et. al., Experimental investigations on the seismic response of a base-isolated reinforced concrete frame model. J. Performance Constructed Facilities, ASCE, 22(2008)289-296.
42. T.H. Kim, Y.J. Kim and H.M. Shin, Seismic performance assessment of reinforced concrete bridge piers supported by laminated rubber bearings. Struct Eng. Mech., 29(2008)259-278.
43. J.F. Kang and Y.Q. Jiang, Improvement of cracking-resistance and flexural behavior of cement-based materials by addition of rubber particles. J. Wuhan Univ. Tech.—Mater.Sci. Edition, 23(2008)579-583.
44. G. Skripkiunas, et. al., Deformation properties of concrete with rubber waste additives.
Mater. Sci.—Medziagotyra, 13(2007)219-223.
45. M.K. Batayneh, et., al., Promoting the use of crumb rubber concrete in developing countries. Waste Management, 28(2008)2171-2176.
46. L. Zheng, et. al., Strength, modulus of elasticity, and brittleness index of rubberized concrete. J. Mater. Civil Eng., ASCE, 20(2008)692-699.
47. M. Navarro, et. al., Biomaterials in orthopaedics. J. R. Soc. Interface, 5(2008)1137-1158.
48. Y. Jung, et. al., Cartilaginous tissue formation using a mechano-active scaffold and dynamic compressive stimulation. J. Biomaterials Sci.—Polymer Edition, 19(2008)61-74.
49. T. Hu and J.P. Desai, Characterization of soft-tissue material properties: Large deformation analysis. ‘Medical Simulation, Proceedings’ in Lecture Notes in Computer Science, 3078(2004)28-37.
50. J.Z. Wu, et. al., Nonlinear and viscoelastic characteristics of skin under compression: experiment and analysis. Bio-Medical Mater. Eng., 13(2003)373-385.
51. Z.Q. Liu and M.G. Scanlon, Modelling indentation of bread crumb by finite element analysis, Biosystems Eng., 85(2003)477-484.
52. M. Zidi, Circular shearing and torsion of a compressible hyperelastic and prestressed tube. Int. J. Non-Linear Mech., 35 (2000) 201-209.
53. M. Zidi, Torsion and axial shearing of a compressible hyperelastic tube. Mech. Res. Comm., 26 (1999) 245-252.
54. M. Cheref, M. Zidi and C. Oddou, Analytical modelling of vascular prostheses mechanics. Intra and extracorporeal cardiovascular fluid dynamics. Comput. Mech. Pub., 1 (1998) 191-202.
55. M. Zidi, Finite torsional and anti-plane shear of a compressible hyperelastic and transversely isotropic tube. Int. J. Engrg. Sci., 38 (2000) 1481-1496.
56. P.J. Blatz and W.L. Ko , Application of finite elastic theory to the deformation of rubbery materials . Trans.Soc. Rheol. , 6 (1962) 223-251.

指導教授

李顯智(Hin-Chi Lei)

審核日期

2012-1-18

推文