Reference : X-FEM explicit dynamics for constant strain elements to alleviate mesh constraints on in...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/2268/10790
X-FEM explicit dynamics for constant strain elements to alleviate mesh constraints on internal or external boundaries
English
Rozycki, P. [>Institut de Recherche en Ge´nie Civil et Me´canique, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la Noe¨ , BP 92101, F-44321 Nantes Cedex 3, France > > > > > >]
Moes, N. [>Institut de Recherche en Ge´nie Civil et Me´canique, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la Noe¨ , BP 92101, F-44321 Nantes Cedex 3, France > > > > > >]
Béchet, Eric mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur >]
Dubois, C. [Institut de Recherche en Ge´nie Civil et Me´canique, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la Noe¨ , BP 92101, F-44321 Nantes Cedex 3, France > > > >]
2008
Computer Methods in Applied Mechanics & Engineering
Elsevier Science
197
5
349-363
Yes (verified by ORBi)
International
0045-7825
Lausanne
Switzerland
[en] X-FEM ; explicit schemes ; dynamics ; holes ; non-conforming meshes
[en] This paper deals with the use of the extended Finite Element Method (X-FEM) for rapid dynamic problems. To solve the equations of motion, a common technique is the explicit direct integration with a Newmark scheme. Since this temporal scheme is only conditionally stable, the critical time step must be determined. It is generally induced by mesh constraints. The idea of the paper is to weaken constraints on mesh generation algorithms so that the critical time step is as large as possible. Using the X-FEM one allows a non-conformity between mesh and discontinuities such as cracks, holes or interfaces. In a first part, we present a summary about direct integration schemes and about the eXtended Finite Element Method. Then, we focus on the theoretical description of a ID X-FEM finite element and its generalization to 2D and 3D finite elements. Then, dynamic numerical simulations are shown. They concern structures under impact with holes or external boundaries not exactly matched by the mesh. Comparisons are made with numerical results coming from the ABAQUS software. It shows that developments are satisfactory. We conclude with some outlooks concerning this work. (c) 2007 Elsevier B.V. All rights reserved.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/10790
10.1016/j.cma.2007.05.011

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