Inflation and instability of a polymeric membrane

Journal of Non-Newtonian Fluid Mechanics

Volumn 88, Issue 1-2, 1999, Pages 185-204

  Hassager, Ole ^a   Kristensen, Susanne B ^a   Larsen, Johannes R ^a   Neergaard, Jesper ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Inflation; Instability; Polymeric membrane; Rheological properties

Indexed keywords

DEFORMATION; MATHEMATICAL MODELS; PRESSURIZATION; RHEOLOGY; STRESSES; VISCOELASTICITY; VISCOSITY;

INFLATION; MOONEY-RIVLIN MODEL; PRESSURE DIFFERENCE;

POLYMERIC MEMBRANES;

INSTABILITY; MEMBRANE; POLYMER; RHEOLOGY;

EID: 0033390273     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00018-X     Document Type: Article

References (26)

1. Wineman A. On axisymmetric deformations of nonlinear viscoelastic membranes. J. Non-Newtonian Fluid Mech. 4:1978;249-260.
2. Wineman A.S. Large axisymmetric inflation of a nonlinear viscoelastic membrane by lateral pressure. Trans. Soc. Rheol. 20:1976;203-225.
3. Wineman A. On the simultaneous elongation and inflation of a tubular membrane of a BKZ fluid. J. Non-Newtonian Fluid Mech. 6:1979;111-125.
4. Warby M.K., Whiteman J.R. Finite element model of viscoelastic membrane deformation. Comput. Meth. Appl. Mech. Eng. 68:1988;33-54.
5. Rivlin R.S. Large elastic deformations of isotropic materials I. Fundamental concepts. Phil. Trans. R. Soc. (London). A240:1948;459-490.
6. Mooney, J. Appl. Phys. 11 (1940) 582.
7. A.E. Green, J.E. Adkins, Large Elastic Deformations, Oxford University Press, London, 1970.
8. W.H. Yang, W.W. Feng, On axisymmetric deformations of nonlinear membranes, J. Appl. Mech. (1970) 1002-1011.
9. Oden J.T., Sato T. Finite strains and displacements of elastic membranes by the finite element method. Int. J. Solids Struct. 3:1967;471-488.
10. Charrier J.M., Shrivastava S., Wu R. Free and contrained inflation of elastic membranes in relation to thermoforming - axisymmetric problems. J. Strain Anal. 2:1987;115-125.
11. Charrier J.M., Shrivastava S., Wu R. Free and contrained inflation of elastic membranes in relation to thermoforming - nonaxisymmetric problems. J. Strain Anal. 24:1989;55-74.
12. P. Novotný, K. Kouba, P. Sáha, The role of material in the simulation of the thermoforming process: progress and trends in rheology, in: Proc. 5th European Rheology Conf., Portorož, Slovenia, 1998, pp. 367-368.
13. Cook W.A. A finite element model for nonlinear shells of revolution. Int. J. Numer. Meth. Eng. 18:1982;135-149.
14. Fried I. Finite element computation of large rubber membrane deformations. Int. J. Numer. Meth. Eng. 18:1982;653-660.
15. Khayat R.E., Derdouri A., Garcia-Rejon A. Multiple contact and axisymmetric inflation of hyperelastic membranes. Proc. Instn. Mech. Engrs. C: J. Mech. Eng. Sci. 207:1993;175-183.
16. G.H. McKinley, O. Hassager, The Considère condition and rapid stretching of linear and branched polymer melts, J. Rheol., submitted for publication.
17. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. I, Fluid Mechanics, Wiley, New York, 1987.
18. 2 term in rubber elasticity. J. Rheol. 38:1994;655-679.
19. L.R.G. Treloar, The Physics of Rubber Elasticity, Oxford University Press, London, 1958.
20. Doi M., Edwards S.F. J. Chem. Soc., Faraday Trans. II. 74:1978;1789-1832.
21. Doi M., Edwards S.F. J. Chem. Soc., Faraday Trans. II. 75:1979;38-54.
22. Currie P.K. J. Non-Newtonian Fluid Mech. 11:1982;53-68.
23. McLeish T.C.B., Larson R.G. Molecular constitutive equations for a class of branched polymers: the Pom-Pom model. J. Rheol. 42:1998;81-110.
24. A. Derdouri, R. Connolly, R. Khayat, E. Verron, B. Peseux, Material constants identification for thermoforming simulation, ANTEC 1998, Atlanta, GA, USA, April 26-30.
25. Cogswell F.N., Moore D.R. A comparison between simple shear, elongation and equal biaxial extension deformations. Polym. Eng. Sci. 14:1974;573-576.
26. J.E. Adkins, R.S. Rivlin, Large elastic deformations of isotropic materials IX. The deformation of thin shells, Phil. Trans. R. Soc. (London) A (1952) 505-531.