Paper published in a book (Scientific congresses and symposiums)
A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variational Updates Framework.
Noels, Ludovic; Stainier, Laurent; Ponthot, Jean-Philippe
2007
 

Files


Full Text
2007_CompDyn_Crete_VariationaUpdates.pdf
Author postprint (308.76 kB)
Request a copy

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Energy Dissipation; Variational Updates; Elasto-Plasticity
Abstract :
[en] Although they are the most widely used time integration algorithms for finite-element discretizations, algorithms based on the Newmark family are numerically stable only for linear models. To overcome that drawback, researches have recently focused on time integration algorithms stable in the non-linear range, leading to the development of Energy Momentum Conserving Algorithms or EMCA. A new Energy Momentum Conserving Algorithm was recently presented by the authors for elasto-plastic material models. This algorithm is based on a variational formulation of elasto-plastic updates for which the stress tensor always derives from an incremental potential, even when plastic behavior is considered. In this work this formalism is used to develop Energy-Dissipative Momentum-Conserving time integration algorithms, which have property of being stable in non-linear range, but also dissipate high-frequency numerical modes to improve the convergence properties. Using the potential existence of the variational updates framework, the verification of the numerical dissipation of energy in the non-linear range can easily be demonstrated.
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 :
A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variational Updates Framework.
Publication date :
2007
Event name :
ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (CompDyn 2007)
Event place :
Rethymno, Greece
Event date :
du 13 au 17 juin 2007
Audience :
International
Editor :
Papadrakakis, M.
Charmpis, D. C.
Lagaros, N. D.
Pages :
7 p.
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 14 August 2008

Statistics


Number of views
109 (9 by ULiège)
Number of downloads
1 (0 by ULiège)

Bibliography


Similar publications



Contact ORBi