This work presents a general framework for constitutive viscoelastic
models in the finite deformation regime. The approach is qualified
as variational since the constitutive updates consist of a minimization
problem within each load increment. The set of internal variables
is strain-based and uses a multiplicative decomposition of strain
in elastic and viscous components. Spectral decomposition is explored
in order to accommodate, into analytically tractable expressions,
a wide set of specific models. Moreover, it is shown that, through
appropriate choices of the constitutive potentials, the proposed
formulation is able to reproduce results obtained elsewhere in the
literature. Finally, numerical examples are included to illustrate
the characteristics of the present formulation.
%0 Journal Article
%1 Fancello2008
%A Fancello, E.A.
%A Ponthot, J.P.
%A Stainier, L.
%D 2008
%J Journal of Computational and Applied Mathematics
%K Constitutive Finite Variational formulation, updates viscoelasticity,
%P 400-408
%R 10.1016/j.cam.2006.04.064
%T A variational framework for nonlinear viscoelastic models in finite
deformation regime
%U http://www.sciencedirect.com/science/article/B6TYH-4MM1P34-6/2/9e143d181fb8590af8c185ca980509c3
%V 215
%X This work presents a general framework for constitutive viscoelastic
models in the finite deformation regime. The approach is qualified
as variational since the constitutive updates consist of a minimization
problem within each load increment. The set of internal variables
is strain-based and uses a multiplicative decomposition of strain
in elastic and viscous components. Spectral decomposition is explored
in order to accommodate, into analytically tractable expressions,
a wide set of specific models. Moreover, it is shown that, through
appropriate choices of the constitutive potentials, the proposed
formulation is able to reproduce results obtained elsewhere in the
literature. Finally, numerical examples are included to illustrate
the characteristics of the present formulation.
@article{Fancello2008,
abstract = {This work presents a general framework for constitutive viscoelastic
models in the finite deformation regime. The approach is qualified
as variational since the constitutive updates consist of a minimization
problem within each load increment. The set of internal variables
is strain-based and uses a multiplicative decomposition of strain
in elastic and viscous components. Spectral decomposition is explored
in order to accommodate, into analytically tractable expressions,
a wide set of specific models. Moreover, it is shown that, through
appropriate choices of the constitutive potentials, the proposed
formulation is able to reproduce results obtained elsewhere in the
literature. Finally, numerical examples are included to illustrate
the characteristics of the present formulation.},
added-at = {2009-08-01T18:40:48.000+0200},
author = {Fancello, E.A. and Ponthot, J.P. and Stainier, L.},
biburl = {https://www.bibsonomy.org/bibtex/23ba407f6f64d0e37f74a4dfd485030ec/jaksonmv},
doi = {10.1016/j.cam.2006.04.064},
file = {:D\:\\Users\\Jaksonmv\\Documents\\papers\\Fancello2008.pdf:PDF},
interhash = {e361761fbbe2cfb333c9fc9de174ad92},
intrahash = {3ba407f6f64d0e37f74a4dfd485030ec},
journal = {Journal of Computational and Applied Mathematics},
keywords = {Constitutive Finite Variational formulation, updates viscoelasticity,},
month = {June},
owner = {ManfrediniV},
pages = {400-408},
timestamp = {2009-08-01T18:40:50.000+0200},
title = {A variational framework for nonlinear viscoelastic models in finite
deformation regime},
url = {http://www.sciencedirect.com/science/article/B6TYH-4MM1P34-6/2/9e143d181fb8590af8c185ca980509c3},
volume = 215,
year = 2008
}