Reference : A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variat...
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/440
A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variational Updates Framework.
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 >]
2007
Papadrakakis, M.
Charmpis, D. C.
Lagaros, N. D.
7 pages
No
No
International
ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (CompDyn 2007)
du 13 au 17 juin 2007
Rethymno
Greece
[en] Energy Dissipation ; Variational Updates ; Elasto-Plasticity
[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.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Researchers
http://hdl.handle.net/2268/440

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