Geodesic
New constitutive relations in the nonlinear theory of viscoelasticity
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2009), pp. 41-47 
B. E. Pobedrya; A. B. Anisimov. New constitutive relations in the nonlinear theory of viscoelasticity. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2009), pp. 41-47. http://geodesic.mathdoc.fr/item/VMUMM_2009_5_a7/
@article{VMUMM_2009_5_a7,
     author = {B. E. Pobedrya and A. B. Anisimov},
     title = {New constitutive relations in the nonlinear theory of viscoelasticity},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {41--47},
     year = {2009},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_5_a7/}
}
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In this paper a generalization of Pobedria's viscoelasticity theory is considered for an isotropic solid with non-relaxing volume. Two types of special loads are considered for samples of Pobedria's material — isotropic compression and monoaxial tension. The obtained formulas are used to deduce necessary conditions of non-relaxing behavior of volume. It is shown that the conditions obtained in such a way are not only necessary, but also sufficient for the non-relaxing behavior of volume, even in the case of an arbitrary load.