ORBi: Debongnie Jean-François - On the approximation of incompressible materials in the displacement method

Reference : On the approximation of incompressible materials in the displacement method


	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	To cite this reference:	http://hdl.handle.net/2268/16495

Title :	On the approximation of incompressible materials in the displacement method
Language :	English
Author, co-author :	Debongnie, Jean-François [Université de Liège - ULg > Département d'aérospatiale et mécanique > Méthodes de fabrication >]
Publication date :	1979
Journal title :	International Journal for Numerical Methods in Engineering
Publisher :	John Wiley & Sons, Inc
Volume :	14
Issue/season :	7
Pages :	1095-1099
Audience :	International
ISSN :	0029-5981
City :	Chichester
Country :	United Kingdom
Keywords :	[en] Incompressibility ; Finite elements ; Displacement method
Abstract :	[en] A mathematical description of the numerical approximation to incompressibility with nearly incompressible displacement finite elements is presented. By the way of functional analysis, it leads to a condition of convergence to the incompressible problem when v is increased up to 0.5, which can be identified with Fried's K1 criterion.
Research units :	LTAS
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/2268/16495
DOI :	10.1002/nme.1620140714
Mentions required by the publisher for OA :	Copyright 2009 John Wiley & Sons, Ltd.
Commentary :	Fried obtained the same result in 1974 from an analysis of the matrices arising in this approach. Here, the analysis is performed in the more general frame of functional analysis.

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