Geodesic
New constitutive relations in the nonlinear theory of viscoelasticity
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2009), pp. 41-47

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_5_a7/}
}
TY  - JOUR
AU  - B. E. Pobedrya
AU  - A. B. Anisimov
TI  - New constitutive relations in the nonlinear theory of viscoelasticity
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2009
SP  - 41
EP  - 47
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2009_5_a7/
LA  - ru
ID  - VMUMM_2009_5_a7
ER  - 
%0 Journal Article
%A B. E. Pobedrya
%A A. B. Anisimov
%T New constitutive relations in the nonlinear theory of viscoelasticity
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 41-47
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_5_a7/
%G ru
%F VMUMM_2009_5_a7
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/