Article (Scientific journals)
A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
Noels, Ludovic; Radovitzky, Raúl
2006In International Journal for Numerical Methods in Engineering, 68 (1), p. 64–97
Peer Reviewed verified by ORBi
 

Files


Full Text
2006_IJNME_DGNonLinear.pdf
Author postprint (797.95 kB) Creative Commons License - Attribution, Non-Commercial, No Derivative
(c) John Wiley & Sons Ltd, 2006
Download
Annexes
2006_WCCM_DG.pdf
Publisher postprint (14.31 MB)
Presentation WCCM 2006
Request a copy
2006_WCCM_DG.ppt
Publisher postprint (3.65 MB)
Presentation WCCM 2006
Request a copy
Dogbone4Strain.mpg
Publisher postprint (1.22 MB)
Animation 1 Presentation WCCM 2006
Request a copy
Dogbone4SurfaceDz.mpg
Publisher postprint (1.37 MB)
Animation 2 Presentation WCCM 2006
Request a copy
spiralEplDg.mpg
Publisher postprint (1.78 MB)
Animation 3 Presentation WCCM 2006
Request a copy
taylorOutDgBeta4.mpg
Publisher postprint (4.1 MB)
Animation 4 Presentation WCCM 2006
Request a copy
waveDgBeta100Constrained.mpg
Publisher postprint (2.06 MB)
Animation 5 Presentation WCCM 2006
Request a copy

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
discontinuous Galerkin method; large deformation of solids; finite-element method
Abstract :
[en] A discontinuous Galerkin formulation of the boundary value problem of finite-deformation elasticity is presented. The primary purpose is to establish a discontinuous Galerkin framework for large deformations of solids in the context of statics and simple material behaviour with a view toward further developments involving behaviour or models where the DG concept can show its superiority compared to the continuous formulation. The method is based on a general Hu-Washizu-de Veubeke functional allowing for displacement and stress discontinuities in the domain interior. It is shown that this approach naturally leads to the formulation of average stress fluxes at interelement boundaries in a finite element implementation. The consistency and linearized stability of the method in the non-linear range as well as its convergence rate are proven. An implementation in three dimensions is developed, showing that the proposed method can be integrated into conventional finite element codes in a straightforward manner. In order to demonstrate the versatility, accuracy and robustness of the method examples of application and convergence studies in three dimensions are provided. Copyright (c) 2006 John Wiley
Disciplines :
Mechanical engineering
Author, co-author :
Noels, Ludovic  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique
Radovitzky, Raúl;  Massachusetts Institute of Technology - MIT > Aeronautics & Astronautics
Language :
English
Title :
A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
Publication date :
2006
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Publisher :
John Wiley & Sons Ltd, Chichester, United Kingdom
Volume :
68
Issue :
1
Pages :
64–97
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Contract/grant sponsor: Institute for Soldier Nanotechnologies; contract/grant number: DAAD-19-02-D-0002
Available on ORBi :
since 21 July 2008

Statistics


Number of views
146 (25 by ULiège)
Number of downloads
23 (9 by ULiège)

Scopus citations®
 
86
Scopus citations®
without self-citations
59
OpenCitations
 
79

Bibliography


Similar publications



Contact ORBi