Reference : A variational framework for nonlinear viscoelastic models in finite deformation regime
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A variational framework for nonlinear viscoelastic models in finite deformation regime
Fancello, Eduardo [>Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil > > >Depto. de Engenharia Mecânica > > >]
Ponthot, Jean-Philippe mailto [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 >]
Journal of Computational & Applied Mathematics
Elsevier Science
Yes (verified by ORBi)
The Netherlands
3rd International Confernce on Advanced Computational Methods in Engineering
May 30- june 02 2005
[en] Finite viscoelasticity ; Variational formulation ; Constitutive updates
[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.
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