Impact on highly compressible media in explicit dynamics using the X-FEM.

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Bibliographic Details
Title:	Impact on highly compressible media in explicit dynamics using the X-FEM.
Authors:	Dubois, Céline¹, Le Corre, Steven¹ Steven.le-corre@ec-nantes.fr, Zarroug, Malek², Rozycki, Patrick¹, Moës, Nicolas¹
Source:	Computational Mechanics. Jul2010, Vol. 46 Issue 2, p329-348. 20p. 25 Diagrams, 1 Chart, 18 Graphs.
Subjects:	Finite element method, Geometry problems & exercises, Numerical analysis, Dynamics, Mathematical analysis
Abstract:	Finite element simulations of impact problems on highly compressible media often lead to poor accuracy due to mesh distortion. In explicit dynamics, poorly shaped elements also reduce the stable time step. In order to have satisfactory results and an acceptable computational time, the structure has to be remeshed regularly. A remeshing process can be a burdensome task, especially for 3D problems with complex geometries. In explicit methods, remeshing can also be time consuming compared to the time required for the computation. In this article, we propose to use the extended finite element method (X-FEM) to simplify the remeshing work. This simplification relies on the fact that the X-FEM allows to remesh with meshes that do not match the shape of the deformed structure. A unique simple structured mesh can be used whenever remeshing is needed. A specific algorithm is designed in order to ensure data transfer between successive meshes in the X-FEM context. Several examples demonstrate the efficiency of the proposed method. The final part of the article is dedicated to the treatment of impact problems. It is shown that the use of the penalty method with X-FEM in explicit dynamics leads to a decrease of the stable time step. We propose a specific mass scaling strategy to overcome this issue. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	Finite element simulations of impact problems on highly compressible media often lead to poor accuracy due to mesh distortion. In explicit dynamics, poorly shaped elements also reduce the stable time step. In order to have satisfactory results and an acceptable computational time, the structure has to be remeshed regularly. A remeshing process can be a burdensome task, especially for 3D problems with complex geometries. In explicit methods, remeshing can also be time consuming compared to the time required for the computation. In this article, we propose to use the extended finite element method (X-FEM) to simplify the remeshing work. This simplification relies on the fact that the X-FEM allows to remesh with meshes that do not match the shape of the deformed structure. A unique simple structured mesh can be used whenever remeshing is needed. A specific algorithm is designed in order to ensure data transfer between successive meshes in the X-FEM context. Several examples demonstrate the efficiency of the proposed method. The final part of the article is dedicated to the treatment of impact problems. It is shown that the use of the penalty method with X-FEM in explicit dynamics leads to a decrease of the stable time step. We propose a specific mass scaling strategy to overcome this issue. [ABSTRACT FROM AUTHOR]
ISSN:	01787675
DOI:	10.1007/s00466-010-0497-x