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Large deformation and stability analysis of a cylindrical rubber tube under internal pressure

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Rubber tubes under pressure can undergo large deformations and exhibit a particular nonlinear elastic behavior. In order to reveal mechanical properties of rubber tubes subjected to internal pressure, large deformation analysis and stability analysis have been proposed in this paper by utilizing a modified Gent’s strain energy function. Based on the nonlinear elastic theory, by establishing the theoretical model of a rubber tube under internal pressure, the relationship between the internal pressure and circumferential principal stretch has been deduced. Meanwhile stability analysis of the rubber tube has also been proposed and the relationship between the internal pressure and the internal volume ratio has been achieved. The effects on the deformation by different parameters and the failure reasons of the rubber tube have been discussed, which provided a reasonable reference for the design of rubber tubes.
Rocznik
Strony
177--188
Opis fizyczny
Bibliogr. 34 poz., rys.
Twórcy
autor
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin, China
autor
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin, China
autor
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin, China
autor
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin, China
autor
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin, China
autor
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin, China
Bibliografia
  • 1. Akyüz U., Ertepinar A., 1999, Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells, International Journal of Non-Linear Mechanics, 34, 391-404
  • 2. Akyüz U., A. Ertepinar A., 2001, Stability and breathing motions of pressurized compressible hyperelastic spherical shells Journal of Sond Vibrations, 247, 293-304
  • 3. Alexander H., 1971, The tensile instability of an inflated cylindrical membrane as affected by an axial load, International Journal of Mechanical Sciences, 13, 87-95
  • 4. Antman S.S., 1995, Nonlinear Problems of Elasticity, Springer-Verlag, NewYork-Budapest
  • 5. Bertram C.D., 1982, Two modes of instability in a thick-walled collapsible tube conveying a flow, Journal of Biomechanics, 15, 223-224
  • 6. Bertram C.D., 1987, The effects of wall thickness, axial strain and end proximity on the pressurearea relation of collapsible tubes, Journal of Biomechanics, 20, 863-876
  • 7. Bharatha S., 1967, Cylindrically symmetrical deformations of Mooney materials, Archiwum Mechaniki Stosowanej (Archives of Mechanics), 19, 6, 857-865
  • 8. Ertepinar A., 1977, Large amplitude radial oscillations of layered thick-walled cylindrical shells, International Journal of Solids and Structure, 13, 717-723
  • 9. Feng Z., Renauda C., Cros J., Zhang H., Guan Z., 2010, A finite element finite-strain formulation for modeling colliding blocks of Gent materials, International Journal of Solids and Structure, 47, 2215-2222
  • 10. Fung Y.C., 1967, Elasticity of soft tissues in simple elongation, American Journal of Physiology, 213, 1532-1544
  • 11. Gao Y.C., 1990, Elastostatic crack tip behavior for a rubber like material, Theoretical and Applied Fracture Mechanics, 14, 219-231
  • 12. Gent A.N., 1996, A new constitutive ralation for rubber, Rubber Chemistry and Technology, 69, 1, 59-61
  • 13. Gent A.N., 2005, Elastic instabilities in rubber, International Journal of Non-Linear Mechanics, 40, 165-175
  • 14. Green A.E., Zerna W., 1968, Non-linear Elastic Deformations, Horwood, Chichester
  • 15. Hariharaputhiran H., Saravanan U., 2016, A new set of biaxial and uniaxial experiments on vulcanized rubber and attempts at modeling it using classical hyperelastic models, Mechanics of Materials, 92, 211-222
  • 16. Haughton D.M., Ogden R.W., 1979a, Bifurcation of inflated circular cylinders of elastic material under axial loading – I. Membrane theory for thin-walled tubes, Journal of the Mechanics and Physics of Solids, 27, 179-212
  • 17. Haughton D.M., Ogden R.W.,1979b, Bifurcation of inflated circular cylinders of elastic material under axial loading – II. Exact theory for thick-walled tubes, Journal of the Mechanics and Physics of Solids, 27, 489-512
  • 18. Haughton D.M., Ogden R.W., 1980, Bifurcation of rotating thick-walled elastic tubes, Journal of the Mechanics and Physics of Solids, 28, 59-74
  • 19. Horgan C.O., 2015, The remarkable Gent constitutive model for hyperelastic materials, International Journal of Non-Linear Mechanics, 68, 9-16
  • 20. Horgan C.O., Saccomandi G.A., 2002, Molecular-statistical basis for the gent constitutive model of rubber elasticity, Journal of Elasticity, 68, 1, 167-176
  • 21. Jiang X., Ogden R.W., 2000, Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material, International Journal of Non-Linear Mechanics, 35, 361-369
  • 22. Knowles J.K., 1977, The finite anti-plane field near the tip of a crack of incompressible elastic solids, International Journal of Fracture, 13, 4, 611-639
  • 23. Mangan R., Destrade M., 2015, Gent models for the inflation of spherical balloons, International Journal of Non-Linear Mechanics, 68, 52-58
  • 24. Merodio J., Ogden R.W., 2015, Extension, inflation and torsion of a residually stressed circular cylindrical tube, Continuum Mechanics and Thermodynamics, 28, 157-174
  • 25. Mooney M.A., (1940), A theory of large elastic deformation, Journal of Applied Physics, 11, 582-592
  • 26. Ogden R.W., 1984, Non-linear Elastic Deformations, Ellis Horwood, Chichester
  • 27. Papargyri-Pegiou S., Stavrakakis E., 2000, Axisymmetric numerical solutions of a thin-walled pressurized torus of incompressible nonlinear elastic materials, Computers and Structures, 77, 747-757
  • 28. Pucci E., Saccomandi G.A., 2002, A note on the Gent model for rubber-like materials, Rubber Chemistry and Technology, 75, 5, 839-851
  • 29. Rickaby S.R., Scott N.H., A comparison of limited-stretch models of rubber elasticity, International Journal of Non-Linear Mechanics, 68, 71-86
  • 30. Rivlin R.S., 1948, Large elastic deformations of isotropic materials: I Fundametal concepts, II.Some uniqueness theories for homogenous deformation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, London, 240, 459-508
  • 31. Sang J.B., Sun L.F., S.F.Xing, et al., 2014, Mechanical properties of polymer rubber materials based on a new constitutive model, Polymers and Polymer Composites, 22, 8, 693-698
  • 32. Treloar L.R.G., 1976, The mechanics of rubber elasticity, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 351, 301-330
  • 33. Zhu Y., Luo X.Y., Ogden R.W., 2008, Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure, International Journal of Solids and Structure, 45, 3410-3429
  • 34. Zhu Y., Luo X.Y., Ogden R.W., 2010, Nonlinear axisymmetric deformations of an elastic tube under external pressure, European Journal of Mechanics – A/Solid, 29, 216-229
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-35082b2c-f62f-4217-b520-21a5ee37c3d2
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