Reference : On the approximation of incompressible materials in the displacement method
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/16495
On the approximation of incompressible materials in the displacement method
English
Debongnie, Jean-François mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Méthodes de fabrication >]
1979
International Journal for Numerical Methods in Engineering
John Wiley & Sons, Inc
14
7
1095-1099
Yes (verified by ORBi)
International
0029-5981
Chichester
United Kingdom
[en] Incompressibility ; Finite elements ; Displacement method
[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.
LTAS
Researchers ; Professionals
http://hdl.handle.net/2268/16495
10.1002/nme.1620140714
Copyright 2009 John Wiley & Sons, Ltd.
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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