A new discontinuous Galerkin method for non-linear Mechanics

[en] A discontinuous Galerkin framework for large deformations of solids is established. The method is based on a general Hu-Washizu-de Veubeke functional allowing for displacement and stress discontinuities in the domain interior. The focus of this paper is on the treatment of large elasto-plastic deformations. The method is shown to possess the required numerical properties: consistency in the non-linear range and linearized stability. In order to demonstrate the versatility, accuracy and robustness of the method examples of application and convergence studies in three dimensions are provided. Further developments of the method will lead to applications where physical discontinuities must be modeled like fragmentation or failure.

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 non-linear Mechanics

Publication date :

2006

Event name :

47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

Event organizer :

American Institute of Aeronautics and Astronautics

Event place :

Newport, United States

Event date :

du 1 au 4 mai 2006

Audience :

International

Publisher :

American Institute of Aeronautics and Astronautics, United States

Pages :

paper 2121

Additional URL :

http://pdf.aiaa.org/preview/CDReadyMSDM06_1172/PV2006_2122.pdf

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
This research was supported by the U.S. Army through the Institute for Soldier Nanotechnologies, under Contract DAAD-19-02-D-0002 with the U.S. Army Research Office

Available on ORBi :

since 14 August 2008

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Bibliography

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