An energy momentum conserving algorithm using the variational formulation of visco-plastic updates

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

doi:10.1002/nme.1480

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An energy momentum conserving algorithm using the variational formulation of visco-plastic updates

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

2006 • In International Journal for Numerical Methods in Engineering, 65 (6), p. 904–942

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https://hdl.handle.net/2268/332

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10.1002/nme.1480

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Keywords :

energy conserving; momentum conserving; dynamics; variational formulation; elastoplasticity; finite-elements rnethod

Abstract :

[en] In this paper we use the variational formulation of elasto-plastic updates proposed by Ortiz and Stainier (Comput. Methods Appl. Mech. Eng. 1999; 171:419-444) in the context of consistent time integration schemes. We show that such a formulation is well suited to obtain a general expression Of energy momentum conserving algorithms. Moreover, we present numerical examples that illustrate the efficiency of our developments. Copyright (c) 2005 John Wiley

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 using the variational formulation of visco-plastic updates

Publication date :

2006

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 :

904–942

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://dx.doi.org/10.1002/nme.1480

Funders :

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

Available on ORBi :

since 22 July 2008

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