An energy-momentum conserving algorithm for non-linear hypoelastic constitutive models

Noels, Ludovic; Stainier, Laurent; Ponthot, Jean-Philippe

doi:10.1002/nme.869

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An energy-momentum conserving algorithm for non-linear hypoelastic constitutive models

Noels, Ludovic; Stainier, Laurent; Ponthot, Jean-Philippe

2004 • In International Journal for Numerical Methods in Engineering, 59 (1), p. 83-114

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10.1002/nme.869

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Keywords :

energy-momentum conserving; dynamics; hypoelastic constitutive model; large strain plasticity; finite elements

Abstract :

[en] This paper presents an extension of the energy momentum conserving algorithm, usually developed for hyperelastic constitutive models, to the hypoelastic constitutive models. For such a material no potential can be defined, and thus the conservation of the energy is ensured only if the elastic work of the deformation can be restored by the scheme. We propose a new expression of internal forces at the element level which is shown to verify this property. We also demonstrate that the work of plastic deformation is positive and consistent with the material model. Finally several numerical applications are presented. Copyright (C) 2003 John Wiley Sons, Ltd.

Disciplines :

Mechanical engineering

Author, co-author :

Noels, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique

Stainier, Laurent ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique

Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Language :

English

Title :

An energy-momentum conserving algorithm for non-linear hypoelastic constitutive models

Publication date :

2004

Journal title :

International Journal for Numerical Methods in Engineering

ISSN :

0029-5981

eISSN :

1097-0207

Publisher :

John Wiley & Sons Ltd, Chichester, United Kingdom

Volume :

Issue :

Pages :

83-114

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://dx.doi.org/10.1002/nme.869

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 21 July 2008

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