Journal
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 102, Issue 10, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.202100552
Keywords
-
Categories
Funding
- RFBR [20-01-00147]
Ask authors/readers for more resources
The article addresses the problem of stress relaxation in a twisted nonlinear viscoelastic rod and presents a solution, as well as discussing the decomposition of elastic and creep parts among others.
The solution to the problem of stress relaxation in a twisted nonlinear viscoelastic isotropic incompressible rod is presented. We address the multiplicative decomposition of the deformation gradient into reversible (elastic) and irreversible (creep) parts. The elastic potential and the creep potential can be chosen arbitrarily. In particular, the creep law can take into account both the nonlinearity of the relationship between the strain rate and the effective stress, and time-hardening or softening. We consider two variants of creep constitutive relations. One is based on the Tresca equivalent stress, the other is based on the von Mises equivalent stress. The first of them leads to a significant simplification of the governing equations because in this case a radial elastic strain vanishes. In this framework, we obtain a closed-form solution in elementary functions for the coupling of Mooney-Rivlin elastic model and linear creep law. For the von Mises material, numerical-analytical results are obtained. The results are compared with the known small-strain solutions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available