On the modelling of amplitude and frequency-dependent properties in rubberlike solids

Constitutive Models for Rubber IV - Proceedings of the 4th European Conference for Constitutive Models for Rubber, ECCMR 2005

Volumn , Issue , 2005, Pages 285-291

  Nemeth I ^a   Schleinzer, G ^b   Ogden, R W ^c   Holzapfel, G A ^d,e  

^a Kompetenzzentrum Das Virtuelle Fahrzeug Forschungsgesellschaft mbH   (Austria)

^b SIEMENS AG ÖSTERREICH   (Austria)

^c UNIVERSITY OF GLASGOW   (United Kingdom)

^d ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^e GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTANT TEMPERATURE; DYNAMICAL PROPERTIES; EXPERIMENT INVESTIGATION; EXPERIMENTAL INVESTIGATIONS; FINITE ELEMENT IMPLEMENTATION; FREQUENCY-DEPENDENT; MECHANICAL BEHAVIOUR; MECHANICAL RESPONSE; MULTI BODY SYSTEMS; NATURAL RUBBER COMPOUNDS; NUMERICAL DATA; QUASI-STATIC; SIMPLE SHEAR TEST; STRESS SOFTENING; UNIAXIAL TENSIONS; VEHICLE COMPONENTS;

COMMUNICATION; MECHANICAL PROPERTIES; NUMERICAL METHODS; RUBBER; SHEAR FLOW; STRESSES; TENSILE TESTING;

CONSTITUTIVE MODELS;

EID: 84856644670     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (29)

1. Arruda, E.M. & Boyce, M.C. 1993. A three-dimensional constitutive model for the large stretch behaviour of rubber elastic materials. J. Mech. Phys. Solids 41:389-412.
2. Bergström, J.S. & Boyce, M.C. 1998. Constitutive modelling of the large strain time-dependent behaviour of elastomers. J. Mech. Phys. Solids 46:931-954.
3. Chaboche, J.L., Dang-Van, K. & Cordier, G. 1979. Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel. Proc. SMIRT-5 Berlin, L 11/3, 1-10.
4. Dorfmann, A. & Ogden, R.W. 2004. A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. Int. J. Solids Structures. 41:1855-1878.
5. HKS 2000. ABAQUS/Standard User's Manual Vol. II., USA: Hibbitt, Karlsson & Sorensen, Inc.
6. Holzapfel, G.A. & Simo, J.C. 1996a. A new viscoelastic constitutive model for continuous media at finite thermomechanical changes. Int. J. Solids Structures. 33:3019-3034.
7. Holzapfel, G.A. 1996b. On large strain viscoelasticity: continuum formulation and finite element application to elastomeric structures. Int. J. Num. Meth. Eng. 39:3903-3926.
8. Holzapfel, G.A. 2000. Nonlinear solid mechanics. Chichester: John Wiley & Sons Ltd.
9. Joule, J.P. 1859. On some thermo-dynamic properties of solids, Phil. Trans. R. Soc. Lond. A149:91-131.
10. Kachanov, L.M. 1958. On creep rupture time, Izvestiya Akademii Nauk SSSR, Ot. Tekh. I Nauk. 8:26-31.
11. Kaliske, M. & Rothert 1998. Constitutive approach to rateindependent properties of filled elastomers. Int. J. Solids Structures 35(17):2057-2071.
12. Kilian, H.G. 1981. Equation of state of real networks. Polymer 22:209-217.
13. Kümmlee, H. 1986. A Method for the prediction of non-linear stiffness and damping behaviour, as well as heating of torsional rubber couplings. (in German) VDI-Fortschrittberichte, Konstruktionstechnik/ Maschinenelemente, Ser. 1:136.
14. Lambertz, S. 1994. Non-linear constitutive model for technical rubber materials with deformation dependent properties and its experimental control on rubber spring elements, Dissertation RWTH-Aachen (in German) Aachen: Shaker Verlag.
15. Leadermann, H. 1943. Elastic and creep properties of Filamentous Materials and other high polymers. The Textile Foundation, Washington DC.
16. Lion, A. 1998. Thixotropic behaviour of rubber under dynamic loading histories: experiments and theory. J. Mech. Phys. Solids 46:895-930.
17. Lion, A. 1999. Strain-dependent dynamic properties of filled rubber: a non-linear viscoelastic approach based on structural variables. Rubber Chem. Technol. 72:410-429.
18. Miehe, C. & Keck, J. 2000. Superimposed finite elasticviscoelastic- plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. J. Mech. Phys. Solids 48:323-365.
19. Miehe, C. 1995. Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation. Comput. Methods Appl. Mech. Eng. 120:243-269.
20. Mullins, L. 1947. Effect of stretching on the properties of rubber. J. Rubber Research 16:275-289.
21. Ogden, R.W. 1972. Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids. Proc. R. Soc. Lond. A 326:565-584.
22. Ogden, R.W. & Roxburgh, D.G. 1999. A pseudo-elastic model for the Mullins effect in filled rubber. Proc. R. Soc. Lond. A 455:2861-2877.
23. Payne, A.R. 1967. Dynamic properties of PBNA-natural rubber vulcanizates. J. Appl. Polymer Sci. 11:383-387.
24. Reese, S. & Govindjee, S. 1998. Theoretical and numerical aspects in the thermo-viscoelastic material behaviour of rubber-like polymers. Mech. Time-Dependent Materials 1:357-396.
25. Saccomandi, G. & Ogden, R.W. 2004. Mechanics and Thermomechanics of Rubberlike Solids, Wien: Springer-Verlag.
26. Simo, J.C. & Hughes, T.J.R. 1998. Computational inelasticity. New York: Springer-Verlag.
27. Sjöberg, M. & Kari, L. 2003. Testing of nonlinear interaction effects of sinusoidal and noise excitation on rubber isolator stiffness. Polymer Testing 22:343-351.
28. Stommel, M. 1999. Description of the viscoelastic mechanical properties, the service life and the fracture behaviour of rubber parts by the finite-element method, Dissertation RWTH-Aachen (in German) Aachen: Verlag Mainz.
29. Treloar, L.R.G. 1944. Stress-strain data for vulcanised rubber under various types of deformation. Trans. Faraday Soc. 40:59-70.