Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Lomakin E. V., Beliakova T. A., Zezin Y. P. Non-Linear Viscoelastic Behavior of Filled Elastomers. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 3, pp. 56-65. DOI: 10.18500/1816-9791-2008-8-3-56-65

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Non-Linear Viscoelastic Behavior of Filled Elastomers

Lomakin Evgenii Viktorovich, Lomonosov Moscow State University
Beliakova T. A., Lomonosov Moscow State University, Institute of Mechanics, Russia
Zezin Yurii Pavlovich, Lomonosov Moscow State University

The analysis of the results of experimental studies of relaxation properties of rubber at room temperature under the conditions of tension and compression at different strain levels is carried out. For the description of viscohyperelastic deformation of filled elastomers, the constitutive relations are used that are the generalization of non-linear elasticity and linear viscoelasticity Boltzmann – Volterra. The method for the determination of interrelated hyperelastic and reological characteristics of deformation is proposed. On the base of experimental data, the dependence of relaxation properties of elastomer on the strain level is discovered and the approach to the description of this dependence based on the constitutive relations of non-linear endochronic theory of aging viscoelastic materials is proposed. The finite element numerical simulation of an experiment under conditions of the confined compression of flat cylindrical specimen and subsequent relaxation is performed. Sufficient correspondence between the calculated values of axial load and the results of experimental study is demonstrated.

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  1. Черных К.Ф., Литвиненкова З.Н. Теория больших упругих деформаций. Л.: Изд-во Ленингр. ун-та,1988. 256 с.
  2. Yang L.M., Shim V.P.W., Lim C.T. A visco-hyperelastic approach to modelling the constitutive behaviour of rubber // Intern. J. of Impact Engineering. 2000. V. 24. P. 545–560.
  3. LS-DYNA Theoretical Manual. May 1998. Livermore Software Technology Corporation.
  4. Rivlin R.S. Proceedings of First Symposium on Naval Structural Mechanics. 1960. P. 169–198.
  5. Быков Д.Л., Коновалов Д.Н. Нелинейная эндохронная теория стареющих вязкоупругих материалов // Известия РАН. Механика твердого тела. 2002. No 4. С. 63–76.