Impact on highly compressible media in explicit dynamics using the X-FEM.
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| 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] |
| Copyright of Computational Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 50498658 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Impact on highly compressible media in explicit dynamics using the X-FEM. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Dubois%2C+Céline%22">Dubois, Céline</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Le+Corre%2C+Steven%22">Le Corre, Steven</searchLink><relatesTo>1</relatesTo><i> Steven.le-corre@ec-nantes.fr</i><br /><searchLink fieldCode="AR" term="%22Zarroug%2C+Malek%22">Zarroug, Malek</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Rozycki%2C+Patrick%22">Rozycki, Patrick</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Moës%2C+Nicolas%22">Moës, Nicolas</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Jul2010, Vol. 46 Issue 2, p329-348. 20p. 25 Diagrams, 1 Chart, 18 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry+problems+%26+exercises%22">Geometry problems & exercises</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamics%22">Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00466-010-0497-x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 329 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Geometry problems & exercises Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Dynamics Type: general – SubjectFull: Mathematical analysis Type: general Titles: – TitleFull: Impact on highly compressible media in explicit dynamics using the X-FEM. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Dubois, Céline – PersonEntity: Name: NameFull: Le Corre, Steven – PersonEntity: Name: NameFull: Zarroug, Malek – PersonEntity: Name: NameFull: Rozycki, Patrick – PersonEntity: Name: NameFull: Moës, Nicolas IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2010 Type: published Y: 2010 Identifiers: – Type: issn-print Value: 01787675 Numbering: – Type: volume Value: 46 – Type: issue Value: 2 Titles: – TitleFull: Computational Mechanics Type: main |
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