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D. V. Georgievskii, D. M. Klimov, and B. E. Pobedrya, "Specific features of the behavior of viscoelastic models," Mech. Solids. 39 (1), 88-120 (2004)
Year 2004 Volume 39 Number 1 Pages 88-120
Title Specific features of the behavior of viscoelastic models
Author(s) D. V. Georgievskii (Moscow)
D. M. Klimov (Moscow)
B. E. Pobedrya (Moscow)
Abstract The major problem of solid mechanics is the modeling of the deformation processes. The models can be divided into two classes-scleronomic models and rheonomic models. The constitutive relations of the scleronomic models are time-invariant. The rheonomic models are described by operator relations that explicitly depend on time. The simplest rheonomic physically linear model in the solid mechanics is the model of a viscoelastic body that describes relaxation (the reduction in the stress at constant strain) and creep (the increase in the strain at constant stress). The model of a linear viscoelastic body takes into account the energy dissipation due to heat release during the deformation of the body, as well as other effects that are not accounted for by other models.

To a great extent, the foundation of the modern theory of viscoelasticity has been laid by an outstanding scientist Yu. N. Rabotnov [1]. This theory has the extensive literature; see, e.g., the monographs [1-17] many of which have become classical textbooks. The enhancement in engineering requires the possibilities for the modeling to be extended. This is the case, in particular, for the model of linear viscoelastic body. To give a review of such a modeling is just the purpose of the present paper.
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Received 30 September 2003
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