ORBi: Noels Ludovic - A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variational Updates Framework.

Reference : A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variation...


	Document type :	Scientific congresses and symposiums : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	To cite this reference:	http://hdl.handle.net/2268/440

Title :	A New Energy-Dissipative Momentum-Conserving Time Integration Scheme Using the Variational Updates Framework.
Language :	English
Author, co-author :	Noels, Ludovic [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 [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire >]
Publication date :	2007
Editor :	Papadrakakis, M.
	Charmpis, D. C.
	Lagaros, N. D.
Pages :	7 pages
On invitation :	No
Audience :	International
Event name :	ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (CompDyn 2007)
Event date :	du 13 au 17 juin 2007
Event place (city) :	Rethymno
Event country :	Greece
Keywords :	[en] 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.
Funders :	Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Target :	Researchers
Permalink :	http://hdl.handle.net/2268/440

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