Application of a new constitutive model for the description of rubber-like materials under monotonic loading

International Journal of Solids and Structures

Volumn 43, Issue 9, 2006, Pages 2799-2819

  Guo, Z ^a   Sluys, L J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Constitutive modelling; Finite element method; Parameter estimation; Rubber like material

Indexed keywords

COMPACTION; DEFORMATION; ELASTICITY; FINITE ELEMENT METHOD; LOADING; PARAMETER ESTIMATION;

CONSTITUTIVE MODELING; MONOTONIC LOADING; RUBBER-LIKE MATERIALS;

RUBBER;

EID: 33644857138     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.06.026     Document Type: Article

References (36)

1. E.M. Arruda, and M.C. Boyce A three-dimensional constitutive model for the large stretch behaviour of rubber elastic materials Journal of the Mechanics and Physics of Solids 41 1993 389 412
2. J.A. Besseling Finite element properties, based upon elastic potential interpolation Hybrid and Mixed Finite Element Methods 1983 John Wiley & Sons London 253 266
3. van den Bogert, P.A.J., 1991. Computational modelling of rubberlike materials. PhD thesis, Delft University of Technology.
4. M.C. Boyce Direct comparison of the Gent and the Arruda-Boyce constitutive models of rubber elasticity Rubber Chemistry and Technology 69 1996 781 785
5. M.C. Boyce, and E.M. Arruda Constitutive models of rubber elasticity: a review Rubber Chemistry and Technology 73 2000 504 523
6. G. Chagnon, E. Verron, L. Gornet, G. Marckmann, and P. Charrier On the relevance of continuum damage mechanics as applied to the Mullins effect in elastomers Journal of the Mechanics and Physics of Solids 52 7 2004 1627 1650
7. D.J. Charlton, and J. Yang A review of methods to characterize rubber elastic behaviour for use in finite element analysis Rubber Chemistry and Technology 67 1994 481 503
8. P.J. Flory, and J. Rehner Jr. Statistical mechanics of cross-linked polymer networks: I. Rubberlike elasticity Journal of Chemical Physics 11 1943 512 520
9. Y.C. Gao Large deformation field near a crack tip in a rubber-like material Theoretical and Applied Fracture Mechanics 26 1997 155 162
10. Y.C. Gao Foundation of Solid Mechanics 1999 Railway Publisher of China Beijing
11. Y.C. Gao, and H.S. Chen Analysis of a rubber cone tensioned by a concentrated force Mechanics Research Communications 28 1 2001 49 54
12. A.N. Gent A new constitutive relation for rubber Rubber Chemistry and Technology 69 1996 59 61
13. Guo, Z., Sluys, L.J., Stroeven, P., Hendriks, Ch.F., 2003. Advanced computational modelling of the mechanical behaviour of rubber-like materials. In: Busfield, J.J.C., Muhr, A.H. (Eds.), Proceeding of the Third European Conference on Constitutive Models for Rubber, London. pp. 185-192.
14. H.M. James, and E. Guth Elastic and thermoelastic properties of rubber like materials Industrial and Engineering Chemistry 33 1941 624 629
15. H.M. James, and E. Guth Theory of elastic properties of rubber Rubber Chemistry and Technology 11 1943 455 481
16. A.R. Johnson, G.J. Quigley, and J.L. Mead Large strain viscoelastic constitutive models for rubber, part I: formulations Rubber Chemistry and Technology 67 1994 904 917
17. J.K. Knowles, and E. Sternberg An asymptotic finite deformation analysis of the elasto-static field near the tip of a crack Journal of Elasticity 3 1973 67 107
18. W. Kuhn, and F. Grun Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer stoffe Kolloidn Zhurnal 101 1942 248 271
19. C. Miehe, S. Göktepe, and F. Lulei A micro-macro approach to rubber-like materials-Part I: The non-affine micro-sphere model of rubber elasticity Journal of the Mechanics and Physics of Solids 52 2004 2617 2660
20. M.A. Mooney A theory of large elastic deformation Journal of Applied Physics 11 1940 582 592
21. L. Mullins, and N.R. Tobin Theoretical model for the elastic behaviour of filler-reinforced vulcanized rubbers Rubber Chemistry and Technology 30 1957 551 571
22. R.W. Ogden Large deformation isotropic elasticity-on the correlation of theory and experiment for the incompressible rubber-like solids Proceedings of the Royal Society of London A 326 1972 565 584
23. R.W. Ogden Large deformation isotropic elasticity-on the correlation of theory and experiment for the compressible rubber-like solids Proceedings of the Royal Society of London A 328 1972 567 583
24. R.W. Ogden Non-linear elastic deformation 1984 Dover Publications, Inc. Mineola, New York
25. R.W. Ogden Nonlinear Elasticity 2001 Cambridge University Press Cambridge
26. R.W. Ogden, and D.G. Roxburgh A pseudo-elastic model for the Mullins effect in filled rubber Philosophical Transactions of the Royal Society of London A 455 1999 2861 2877
27. Pozivilova, A., 2003. Constitutive modelling of hyperelastic materials using the logarithmic description. PhD thesis, CTU Report, vol. 7, 4, Czech Technical University, Prague.
28. R.S. Rivlin Large elastic deformations of isotropic materials I. Fundamental concepts Philosophical Transitions of the Royal Society of London A 240 1948 459 490
29. R.S. Rivlin Large elastic deformations of isotropic materials IV. Further developments of the general theory Philosophical Transitions of the Royal Society of London A 241 1948 379 397
30. R.S. Rivlin A note on the torsion of incompressible highly-elastic cylinder Proceedings of the Cambridge Philosophical Society 45 1949 485
31. A. Tarantola Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation 1987 Elsevier Science Publishers B.V. The Netherlands
32. L.R.G. Treloar The elasticity of a network of long-chain molecules Transactions of Faraday Society 42 1946 83 94
33. L.R.G. Treloar The Physics of Rubber Elasticity second ed. 1958 Oxford University Press Glasgow
34. M.C. Wang, and E. Guth Statistical theory of networks of non-Gaussian flexible chains Journal of Chemical Physics 20 1952 1144 1157
35. P.D. Wu, and E. van der Giessen On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers Journal of the Mechanics and Physics of Solids 41 1993 427 456
36. O.H. Yeoh Some forms of strain energy function for rubber Rubber Chemistry and Technology 66 1993 754 771