Reference : A new discontinuous Galerkin method for Kirchhoff-Love shells
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
A new discontinuous Galerkin method for Kirchhoff-Love shells
Noels, Ludovic mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique >]
Radovitzky, Raúl [Massachusetts Institute of Technology - MIT > Aeronautics & Astronautics > > >]
Computer Methods in Applied Mechanics & Engineering
Elsevier Science
Yes (verified by ORBi)
[en] Discontinuous Galerkin method ; shells ; Kirchhoff–Love
[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.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS

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2008_CMAME_Shells.pdf(c) 2008 Elsevier B.V. All rights reserved.Author postprint6.39 MBView/Open

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2007_USNCCM9_Shells.pptPresentation USNCCM9 20073.07 MBView/Open
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2007_USNCCM9_Shells.pdfPresentation USNCCM9 2007157.18 MBView/Open
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arch.aviAnimation 1 Presentation USNCCM9 200717.31 MBView/Open
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hemisphere.aviAnimation 2 Presentation USNCCM9 200723.13 MBView/Open
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membraneBeam.aviAnimation 3 Presentation USNCCM9 200714.78 MBView/Open
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pinchedCylinder.aviAnimation 4 Presentation USNCCM9 200721.99 MBView/Open
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plateCC.aviAnimation 5 Presentation USNCCM9 200721.32 MBView/Open
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plateSC.aviAnimation 6 Presentation USNCCM9 200721.49 MBView/Open
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plateSS.aviAnimation 7 Presentation USNCCM9 200722.23 MBView/Open
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shellBeam.aviAnimation 8 Presentation USNCCM9 200713.49 MBView/Open

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