 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
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Online ISSN 1934-7936 |
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| R. S. Novokshanov and A. A. Rogovoi, "Evolutionary constitutive relations for finite viscoelastic strains," Mech. Solids. 40 (4), 98-112 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
4 |
Pages |
98-112 |
| Title |
Evolutionary constitutive relations for finite viscoelastic strains |
| Author(s) |
R. S. Novokshanov (Perm)
A. A. Rogovoi (Perm) |
| Abstract |
On the basis of kinematic relations for the superposition of small elastic and
small viscous strains on finite viscoelastic strains, general evolutionary
constitutive relations of viscoelasticity are obtained with the
corotational derivatives which are compatible with these relations. The
equations are further elaborated on for the particular case of the elastic law
for a weakly compressible material, and linearly-viscous law for the stretch
rate of the viscous component. Thermodynamic consistency of these constitutive
relations is demonstrated. By using the structural mechanics approach, a model
for a weakly compressible viscoelastic solid body possessing a discrete
relaxation time spectrum is developed. The model parameters are identified on
the basis of the experimental data for a realistic material. Predictive
capabilities of the model are tested by solving the problem of simple shear
under compression. |
| References |
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|
| Received |
11 July 2003 |
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