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A variational framework for nonlinear viscoelastic models in finite deformation regime
Fancello, Eduardo; Ponthot, Jean-Philippe; Stainier, Laurent
2005In Journal of Computational and Applied Mathematics, 215 (2), p. 400-408
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Keywords :
Finite viscoelasticity; Variational formulation; Constitutive updates
Abstract :
[en] 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. (C) 2007 Elsevier B.V. All rights reserved.
Disciplines :
Aerospace & aeronautics engineering
Materials science & engineering
Mechanical engineering
Author, co-author :
Fancello, Eduardo;  Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil > Depto. de Engenharia Mecânica
Ponthot, Jean-Philippe  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Stainier, Laurent ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique
Language :
English
Title :
A variational framework for nonlinear viscoelastic models in finite deformation regime
Publication date :
2005
Event name :
3rd International Confernce on Advanced Computational Methods in Engineering
Event place :
Ghent, Belgium
Event date :
May 30- june 02 2005
Audience :
International
Journal title :
Journal of Computational and Applied Mathematics
ISSN :
0377-0427
eISSN :
1879-1778
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
215
Issue :
2
Pages :
400-408
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 16 July 2009

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