An endochronic plasticity formulation for filled rubber

International Journal of Solids and Structures

Volumn 47, Issue 18-19, 2010, Pages 2371-2379

  Netzker, Christiane ^a   Dal, Hüsnü ^a   Kaliske, Michael ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Endochronic plasticity; FEM; Filled rubber; Finite elastoplasticity

Indexed keywords

CHAIN MODELS; DISSIPATIVE PROPERTIES; ELASTIC CHARACTERISTIC; ELASTO-PLASTIC; ELASTOMERIC MATERIALS; ELASTOPLASTIC DEFORMATION; ELASTOPLASTIC MATERIALS; ELASTOPLASTIC RESPONSE; FEM; FILLED RUBBER; FILLED RUBBERS; FINITE DEFORMATIONS; FINITE ELEMENT CODES; NONLINEAR ELASTICITY; PHYSICALLY BASED; PLASTICITY MODEL; REALISTIC SIMULATION; RUBBERLIKE MATERIALS; SURFACE FREE;

COMPUTER SIMULATION; CONSTITUTIVE EQUATIONS; DEFORMATION; ELASTICITY; ELASTOPLASTICITY; FINITE ELEMENT METHOD; NONLINEAR EQUATIONS; RUBBER;

PLASTICITY;

EID: 77955269228     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.04.026     Document Type: Article

References (43)

1. E.M. Arruda, and M.C. Boyce A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials Journal of the Mechanics and Physics of Solids 41 1993 389 412
2. M.F. Beatty An average-stretch full-network model for rubber elasticity Journal of Elasticity 70 2003 65 86
3. M. Beatty, and S. Krishnaswamy A theory of stress-softening in incompressible isotropic materials Journal of the Mechanics and Physics of Solids 48 2000 1931 1965
4. J.S. Bergström, and M.C. Boyce Constitutive modeling of the large strain time-dependent behavior of elastomers Journal of the Mechanics and Physics of Solids 46 1998 931 954
5. J.S. Bergström, and M.C. Boyce Mechanical behavior of particle filled elastomers Rubber Chemistry and Technology 72 1999 633 656
6. D. Besdo, and J. Ihlemann A phenomenological constitutive model for rubber like materials and its numerical applications International Journal of Plasticity 19 2003 1019 1036
7. 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
8. M.C. Boyce, and E.M. Arruda Constitutive models of rubber elasticity - a review Rubber Chemistry and Technology 73 2000 504 523
9. A. Cohen A Padé approximant to the inverse Langevin function Rheologica Acta 30 1991 270 273
10. H. Dal, and M. Kaliske Bergström-Boyce model for nonlinear finite rubber viscoelasticity: theoretical aspects and algorithmic treatment for the FE method Computational Mechanics 44 2009 809 823
11. J. Diani, and P. Gilormini Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behaviour of rubber-like materials Journal of the Mechanics and Physics of Solids 53 2005 2579 2596
12. M. Doi, and S.F. Edwards The Theory of Polymer Dynamics 1986 Clarendon Press Oxford
13. A. Dorfman, and R.W. Ogden A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber International Journal of Solids and Structures 41 2004 1855 1878
14. R.J. Flory, and J. Rehner Statistical mechanics of cross-linked polymer networks: I. Rubberlike elasticity The Journal of Chemical Physics 11 1943 512 520
15. A.N. Gent A new constitutive relation for rubber Rubber Chemistry and Technology 69 1996 59 61
16. S. Govindjee, and J.C. Simo Mullins' effect and the strain amplitude dependence of the storage modulus International Journal of Solids and Structures 29 1992 1737 1751
17. M.S. Green, and A.V. Tobolsky A new approach to the theory of relaxing polymeric media The Journal of Chemical Physics 14 1946 80 92
18. E. Guth Theory of filler reinforcement Journal of Applied Physics 16 1945 20 25
19. E. Guth, and O. Gold On the hydrodynamical theory of the viscosity of suspensions Physical Review 53 1938 322
20. E. Guth, and R. Simha Untersuchungen über die Viskosität von Suspensionen und Lösungen. 3. Über die Viskosität von Kugelsuspensionen Kolloid 74 1936 266 275
21. P. Haupt Continuum Mechanics and Theory of Materials 2000 Springer Berlin
22. C.O. Horgan, and G. Saccomandi A molecular-statistical basis for the Gent constitutive model of rubber elasticity Journal of Elasticity 68 2002 167 176
23. C.O. Horgan, and G. Saccomandi Phenomenological hyperelastic strain-stiffening constitutive models for rubber Rubber Chemistry and Technology 79 2006 152 169
24. M.A. Johnson, and M.F. Beatty The Mullins effect in uniaxial extension and its influence on the transverse vibration of a rubber string Continuum Mechanics and Thermodynamics 5 1993 83 115
25. M. Kaliske, and G. Heinrich An extended tube-model for rubber elasticity: Statistical-mechanical theory and finite element implementation Rubber Chemistry and Technology 72 1999 602 632
26. M. Kaliske, and H. Rothert Constitutive approach to rate-independent properties of filled elastomers International Journal of Solids and Structures 35 1998 2057 2071
27. H.G. Kilian, M. Strauss, and W. Hamm Universal properties in filler-loaded rubbers Rubber Chemistry and Technology 67 1994 1 16
28. G. Marckmann, and E. Verron Comparison of hyperelastic models for rubber-like materials Rubber Chemistry and Technology 79 2006 835 858
29. C. Miehe, and J. Keck Superimposed finite elastic-viscoelastic- plastoelastic stress response with damage in filled rubbery polymers. experiments, modelling and algorithmic implementation Journal of the Mechanics and Physics of Solids 48 2000 323 365
30. 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
31. M. Mooney A theory of elastic deformations Journal of Applied Physics 11 1940 582 592
32. L. Mullins Effect of stretching on the properties of rubber Journal of Rubber Research 16 1947 275 289
33. L. Mullins, and N. Tobin Theoretical model for the elastic behavior of filler-reinforced vulcanized rubber Rubber Chemistry and Technology 30 1957 555 571
34. H. Qi, and M. Boyce Constitutive model for stretch-induced softening of the stress-stretch behavior of elastomeric materials Journal of the Mechanics and Physics of Solids 52 2004 2187 2205
35. Strauss, M., 1992. Struktur gefüllter Vulkanisate und Mechanismen der Verstärkung. Ph.D. Thesis. Universität Ulm.
36. F. Tanaka, and S.F. Edwards Viscoelastic properties of physically cross-linked networks. Transient network theory Macromolecules 25 1992 1516 1523
37. Y. Tomita, K. Azuma, and M. Naitoa Computational evaluation of strain-rate-dependent deformation behavior of rubber and carbon-black-filled rubber under monotonic and cyclic straining International Journal of Mechanical Sciences 50 2008 856 868
38. D.D. Tommasi, G. Puglisi, and G. Saccomandi A micromechanics-based model for the Mullins effect Journal of Rheology 50 2006 495 512
39. L. Treloar The photoelastic properties of short-chain molecular networks Transactions of the Faraday Society 50 1946 881 896
40. L.R.G. Treloar, and G. Riding A non-gaussian theory for rubber in biaxial strain. I. Mechanical properties Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 369 1737 1979 261 280
41. K.C. Valanis A theory of viscoplasticity without a yield surface Archives of Mechanics 23 1971 517 533
42. 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 3 1993 427 456
43. O. Yeoh Characterization of elastic properties of carbon-black-filled rubber vulcanizates Rubber Chemistry and Technology 63 1990 792 805