Article (Scientific journals)
A new discontinuous Galerkin method for Kirchhoff-Love shells
Noels, Ludovic; Radovitzky, Raúl
2008In Computer Methods in Applied Mechanics and Engineering, 197, p. 2901-2929
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arch.avi
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hemisphere.avi
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Keywords :
Discontinuous Galerkin method; shells; Kirchhoff–Love
Abstract :
[en] Discontinuous Galerkin methods (DG) have particular appeal in problems involving high-order derivatives since they provide a means of weakly enforcing the continuity of the unknown-field derivatives. This paper proposes a new discontinuous Galerkin method for Kirchhoff–Love shells considering only the membrane and bending response. The proposed one-field method utilizes the weak enforcement in such a way that the displacements are the only unknowns, while the rotation continuity is weakly enforced. This work presents the formulation of the new discontinuous Galerkin method for linear elastic shells, demonstrates the consistency and stability of the proposed framework, and establishes the method’s convergence rate. After a description of the formulation implementation into a finite-element code, these properties are demonstrated on numerical applications.
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 new discontinuous Galerkin method for Kirchhoff-Love shells
Publication date :
2008
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
eISSN :
1879-2138
Publisher :
Elsevier Science, Lausanne, Switzerland
Volume :
197
Pages :
2901-2929
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 30 July 2008

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