New constitutive relations in the nonlinear theory of viscoelasticity / B. E. Pobedrya, A. B. Anisimov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 5. P. 41-47 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 41-47].

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.

Key words: viscoelasticity, non-linear viscoelasticity theory of Pobedria, effect of "accelerated creep".

№ 5/2009