Reference : An energy-momentum conserving algorithm for non-linear hypoelastic constitutive models
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/315
An energy-momentum conserving algorithm for non-linear hypoelastic constitutive models
English
Noels, Ludovic mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique >]
Stainier, Laurent [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique >]
Ponthot, Jean-Philippe mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire >]
2004
International Journal for Numerical Methods in Engineering
John Wiley & Sons Ltd
59
1
83-114
Yes
International
0029-5981
Chichester
[en] energy-momentum conserving ; dynamics ; hypoelastic constitutive model ; large strain plasticity ; finite elements
[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.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Researchers
http://hdl.handle.net/2268/315
10.1002/nme.869
http://dx.doi.org/10.1002/nme.869

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