Open Access
Issue |
Mechanics & Industry
Volume 19, Number 5, 2018
|
|
---|---|---|
Article Number | 502 | |
Number of page(s) | 11 | |
DOI | https://doi.org/10.1051/meca/2018014 | |
Published online | 14 December 2018 |
- L.R.G. Treloar, The physics of rubber elasticity, Oxford University Press, 1975 [Google Scholar]
- W.N. Findley, F.A. Davis, Creep and relaxation of nonlinear viscoelastic materials, Courier Corporation, 2013 [Google Scholar]
- A.G. James, A. Green, G.M. Simpson, Strain energy functions of rubber. I. Characterization of gum vulcanizates, J. Appl. Polym. Sci. 19 (1975) 2033–2058 [Google Scholar]
- R.W. Ogden, Non-linear elastic deformations, Courier Corporation, 1997 [Google Scholar]
- F.J. Lockett, Creep and stress-relaxation experiments for non-linear materials, Int. J. Eng. Sci. 3 (1965) 59–75 [Google Scholar]
- R.A. Schapery, A theory of non-linear thermoviscoelasticity based on irreversible thermodynamics, in: 5th Nat. Cong. Appl. Mech., ASME, New York, 1966, pp. 511–530 [Google Scholar]
- K.C. Valanis, Unified theory of thermomechanical behavior of viscoelastic materials, in Procceding of Symposium Mechanical behavior of materials under dynamic loads, Springer, Texas, 1968, pp. 343–364 [CrossRef] [Google Scholar]
- R.M. Christensen, L. Freund, Theory of viscoelasticity, J. Appl. Mech. 38 (1971) 720 [Google Scholar]
- A. Amin, A. Lion, S. Sekita, Y. Okui, Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: Experimental identification and numerical verification, Int. J. Plast. 22 (2006) 1610–1657 [CrossRef] [Google Scholar]
- B.D. Coleman, W. Noll, Foundations of linear viscoelasticity, Rev. Mod. Phys. 33 (1961) 239 [Google Scholar]
- M. Green, A. Tobolsky, A new approach to the theory of relaxing polymeric media, J. Chem. Phys. 14 (1946) 80–92 [Google Scholar]
- F. Sidoroff, Variables internes en viscoélasticité i. variables internes scalaires et tensorielles, J. Méc. 14 (1975) 545–566 [Google Scholar]
- F. Sidoroff, Variables internes en viscoélasticité, 2. milieux avec configuration intermédiaire, J. Méc. 14 (1975) 571–595 [Google Scholar]
- J. Sullivan, K. Mazich, Nonseparable behavior in rubber viscoelasticity, Rubber Chem. Technol. 62 (1989) 68– 81 [CrossRef] [Google Scholar]
- Y. Kwon, K.S. Cho, Time-strain nonseparability in viscoelastic constitutive equations, J. Rheol. (1978-present) 45 (2001) 1441–1452 [CrossRef] [Google Scholar]
- J. Ciambella, A. Paolone, S. Vidoli, A comparison of nonlinear integral-based viscoelastic models through compression tests on filled rubber, Mech. Mater. 42 (2010) 932–944 [Google Scholar]
- R.M. Christensen, A nonlinear theory of viscoelasticity for application to elastomers, J. Appl. Mech. 47 (1980) 762– 768 [Google Scholar]
- R. Fosdick, J.-H. Yu, Thermodynamics, stability and non-linear oscillations of viscoelastic solids II. History type solids, Int. J. Non-linear Mech. 33 (1998) 165–188 [CrossRef] [Google Scholar]
- J.C. Simo, On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects, Comput. Methods Appl. Mech. Eng. 60 (1987) 153–173 [Google Scholar]
- H. Bechir, A. Kaci, Comparaison du module complexe d'Young résultant de deux différents modèles visco-hyper-élastiques, Rhéologie 6 (2004) 25–30 [Google Scholar]
- D.J. Charlton, J. Yang, K.K. Teh, A review of methods to characterize rubber elastic behavior for use in finite element analysis, Rubber Chem. Technol. 67 (1994) 481–503 [CrossRef] [Google Scholar]
- A. Lion, C. Kardelky, The Payne effect in finite viscoelasticity: constitutive modelling based on fractional derivatives and intrinsic time scales, Int. J. Plast. 20 (2004) pp. 1313–134. [CrossRef] [Google Scholar]
- D. Wollscheid, A. Lion, Predeformation-and frequency-dependent material behaviour of filler-reinforced rubber: Experiments, constitutive modelling and parameter identification, Int. J. Solids Struct. 50 (2013) 1217–1225 [Google Scholar]
- N.W. Tschoegl, The phenomenological theory of linear viscoelastic behavior: an introduction, Springer Science and Business Media, 2012 [Google Scholar]
- J.L. Sullivan, Viscoelastic properties of a gum vulcanizate at large static deformations, J. Appl. Polymer Sci. 28 (1983) 1993–2003 [CrossRef] [Google Scholar]
- A.R. Payne, R.E. Whittaker, Dynamic properties of materials, Rheologica Acta 9 (1970) 97–102 [Google Scholar]
- M. Rendek, A. Lion, Amplitude dependence of filler-reinforced rubber: Experiments, constitutive modelling and FEM Implementation, Int. J. Solids Struct. 47 (2010) 2918–2936 [Google Scholar]
- R. Bloch, W. Chang, N. Tschoegl, Strain independent nonlinearity in peroxide-cured styrene-butadiene rubber, J. Rheol. (1978-present) 22 (1978) 33–51 [CrossRef] [Google Scholar]
- Abaqus Theory Manual, version 6.14, section 4.8.2 [Google Scholar]
- E. Yang, Phenomenological Constitutive Models for Dielectric Elastomer Membranes for Artificial Muscle Applications, Thesis, 2006 [Google Scholar]
- J. C. Simo, T. J. Hughes, Computational inelasticity, Vol. 7. Springer Science and Business Media, 2006 [Google Scholar]
- R. Christensen, Theory of viscoelasticity: an introduction, Academic Press, NewYork, 1971 [Google Scholar]
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