Abstract
The system of equations of motion for a liquid and a solid with internal parameters — scalars and second-order tensors — is written out in the linear approximation. From the system of equations for the class of motions with velocity gradients independent of the coordinates there follows the known equation of the linear theory of viscoelasticity. It is shown that the correct description of the motions of polymer systems requires a quadratic approximation. A nonlinear variant of the theory of viscoelasticity, in which spectral functions that depend on the internal parameters are introduced, is proposed.
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Additional information
Moscow Region Branch of the Institute of Chemical Physics, Academy of Sciences of the USSR. Translated from Mekhanika Polimerov, No. 5, pp. 799–811, September–October, 1970.
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Pokrovskii, V.N. Equations of motion of viscoelastic systems as derived from the conservation laws and the phenomenological theory of nonequilibrium processes. Polymer Mechanics 6, 693–702 (1970). https://doi.org/10.1007/BF00856197
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DOI: https://doi.org/10.1007/BF00856197