Modeling hyperelastic behavior of rubber: A novel invariant-based and a review of constitutive models

Journal of Polymer Science, Part B: Polymer Physics

Volumn 45, Issue 13, 2007, Pages 1713-1732

  Beda, T ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

Hyperelastic modeling; Models review; Parameters identification; Rivlin energy expression; Rubber behavior

Indexed keywords

DATA COMPRESSION; ELASTICITY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; STRESS RELAXATION;

HYPERELASTIC MODELING; MODELS REVIEWS; PARAMETERS IDENTIFICATION; RIVLIN ENERGY EXPRESSIONS; RUBBER BEHAVIOR;

RUBBER;

EID: 34547237683     PISSN: 08876266     EISSN: None     Source Type: Journal    
DOI: 10.1002/polb.20928     Document Type: Article

References (37)

1. Gregory, M. J. Plast Rubber Mater Appl 1976, 4, 184.
2. Davies, C. K. L.; De, D. K.; Thomas, A. G. Rubber Chem Technol 1994, 67, 716.
3. Gent, A. N. Rubber Chem Technol 1996, 69, 59.
4. Yeoh, O. H.; Fleming, P. D. J Polym Sci Part B: Polym Phys 1997, 35, 1919.
5. Rivlin, R. S.; Saunders, D. W. Philos Trans R Soc London Ser A 1951, 243, 251.
6. James, A. G.; Green, A. J Appl Polym Sci 1975, 19, 2319.
7. Beda, T. J Polym Sci Part B: Polym Phys 2005, 43, 125.
8. Swanson, S. R. J Eng Mater Technol ASME 1985, 107.
9. Beda, T.; Chevalier, Y. J Appl Phys AIP 2003, 94, 2701.
10. Pucci, E.; Saccomandi, G. Rubber Chem Technol 2002, 75, 839.
11. Gent, A. N.; Thomas. A. G. J Polym Sci 1958, 28, 118.
12. Green, A. E.: Adkins, J. E. Large Elastic Deformation and Nonlinear Continuum Mechanics: Clarendon Press: Oxford, 1.970.
13. Rivlin, R. S. In Rheology: Theory and Applications; Eirich, F. R., Eds.; Academic Press: New York, 1956; Vol. 1.
14. Treloar, L. R. G. The Physics of Rubber Elasticity, 3rd ed.; Oxford University Press: Oxford, 1975.
15. Ogden, R. W. Non-linear Elastic Deformations; Ellis Harwood: England, 1984.
16. Valanis, R. C.; Landel, R. F. J Appl Phys 1967, 38, 2997.
17. Jones, D. F.; Treloar, L. R. G. J Phys D: Appl Phys 1975, 8, 1285.
18. Johnson, A. R.; Quigley, C. J.; Mead, J. L. Rubber Chem Technol 1994, 67, 904.
19. Flory, P. J.; Erman, B. Macromolecules 1982, 15, 800.
20. Swanson, S. R.; Christensen, L. W.; Ensign, M. Comput Struct 1985, 21, 81.
21. Criscione, J. C.; Humphrey, J. D.; Douglas, A. S.; Hunter, W. C. J Mech Phys Solids 2000, 48, 2445.
22. Pak, H.; Flory, P. J. J Polym Sci Part B: Polym Phys 1979, 17, 1845.
23. Han, W. H.; Horkay, F.; McKenna, G. B. Math Mech Solids 1999, 4, 139.
24. Gaylord, R. J.; Douglas, J. F. Polym Bull 1990, 23, 529.
25. Dimarzia, E. A. Polymer 1994, 35, 1819.
26. Arruda, E. M.; Boyce, M. C. J Mech Phys Solids 1993, 41, 389.
27. Erman, B.; Monnerie, L. Macromolecules 1992, 25, 4456.
28. Boyce, M. C.; Arruda, E. M. Rubber Chem Technol 2000, 73, 504.
29. Ogden, R.W.; Saccomandi, G.; Sgura, I. Comput Mech 2004, 34, 484.
30. Beda, T. J Eng Mater Technol ASME 2005, 127, 351.
31. Beda, T.; Chevalier, Y. Comput Mech 2003, 32, 177.
32. Beda, T. Comptes Rendus Mecanique, 2006, 334, 628.
33. Beatty, M. F. J Elast 2003, 70, 65.
34. Penn, R. W.; Kearsley, E. A. Trans Soc Rheol 1976, 20, 227.
35. McKenna, G. B.; Zapas, L. J. Polymer 1983, 24, 1495.
36. Wineman, A. Int J Non-linear Mech 2005, 40, 271.
37. Hencky, H. J Rheol 1931, 4, 169.