ORBi: Fancello E. A. - A variational framework for nonlinear viscoelastic models in finite deformation regime

Reference : A variational framework for nonlinear viscoelastic models in finite deformation regime


	Document type :	Scientific congresses and symposiums : Paper published in a journal
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering Engineering, computing & technology : Materials science & engineering Engineering, computing & technology : Aerospace & aeronautics engineering
	To cite this reference:	http://hdl.handle.net/2268/17101

Title :	A variational framework for nonlinear viscoelastic models in finite deformation regime
Language :	English
Author, co-author :	Fancello, E. A. [>Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil > > >Depto. de Engenharia Mecânica > > >]
	Ponthot, Jean-Philippe [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire >]
	Stainier, Laurent [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique >]
Publication date :	2005
Journal title :	Journal of Computational & Applied Mathematics
Publisher :	Elsevier Science
Volume :	215
Issue/season :	2
Pages :	400-408
Peer reviewed :	Yes (verified by ORBi)
Audience :	International
ISSN :	0377-0427
City :	Amsterdam
Country :	The Netherlands
Event name :	3rd International Confernce on Advanced Computational Methods in Engineering
Event date :	May 30- june 02 2005
Event place (city) :	Ghent
Event country :	Belgium
Keywords :	[en] 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.
Target :	Researchers ; Professionals ; Students ; General public
Permalink :	http://hdl.handle.net/2268/17101
DOI :	10.1016/j.cam.2006.04.064

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