Reference : A discontinuous Galerkin formulation of non-linear Kirchhoff–Love shells
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/2093
A discontinuous Galerkin formulation of non-linear Kirchhoff–Love shells
English
Noels, Ludovic mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Approche multi-échelles du comport. thermo. des matériaux >]
2009
International Journal for Numerical Methods in Engineering
John Wiley & Sons, Inc
78
3
296 - 323
Yes
International
0029-5981
Chichester
United Kingdom
[en] Kirchhoff-Love shell ; discontinuous Galerkin method ; non-linear elasticity ; finite deformations
[en] Discontinuous Galerkin (DG) methods provide a means of weakly enforcing the continuity of the unknown-field derivatives and have particular appeal in problems involving high-order derivatives. This feature has previously been successfully exploited (Comput. Methods Appl. Mech. Eng. 2008; 197:2901-2929) to develop a formulation of linear Kirchhoff-Love shells considering only the membrane and bending responses. In this proposed one-field method - the displacements are the only unknowns, while the displacement field is continuous, the continuity in the displacement derivative between two elements is weakly enforced by recourse to a DG formulation. It is the purpose of the present paper to extend this formulation to finite deformations and non-linear elastic behaviors. While the initial linear formulation was relying on the direct linear computation of the effective membrane stress and effective bending couple-stress from the displacement field at the mid-surface of the shell, the non-linear formulation considered implies the evaluation of the general stress tensor across the shell thickness, leading to a reformulation of the internal forces of the shell. Nevertheless, since the interface terms resulting from the discontinuous Galerkin method involve only the resultant couple-stress at the edges of the shells, the extension to non-linear deformations is straightforward.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Researchers ; Professionals
http://hdl.handle.net/2268/2093
10.1002/nme.2489
http://dx.doi.org/10.1002/nme.2489
Copyright © 2008 John Wiley & Sons, Ltd.

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Restricted access
2008_IJNME_NLSHELLS.pdfAuthor postprint5.14 MBRequest copy

Additional material(s):

File Commentary Size Access
Restricted access
2008_WCCM_NLShells.pdfpresentation WCCM 200873.73 MBRequest copy
Restricted access
2008_WCCM_NLShells.pptpresentation WCCM 20081.35 MBRequest copy
Restricted access
clampedCylinder.aviPresentation WCCM 2008 : animation 113.59 MBRequest copy
Restricted access
hemisphere.aviPresentation WCCM 2008 : animation 223.13 MBRequest copy
Restricted access
nlHemiWithHoleDist.aviPresentation WCCM 2008 : animation 314.02 MBRequest copy
Restricted access
plateRing.aviPresentation WCCM 2008 : animation 420.93 MBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.