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  4. Remeshing and data transfer in the finite cell method for problems with large deformations
 
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Remeshing and data transfer in the finite cell method for problems with large deformations

Citation Link: https://doi.org/10.15480/882.9243
Publikationstyp
Conference Paper
Date Issued
2023-09-14
Sprache
English
Author(s)
Sartorti, Roman 
Konstruktion und Festigkeit von Schiffen M-10  
Düster, Alexander  
Konstruktion und Festigkeit von Schiffen M-10  
TORE-DOI
10.15480/882.9243
TORE-URI
https://hdl.handle.net/11420/45821
Journal
Proceedings in applied mathematics and mechanics  
Volume
23
Issue
3
Article Number
e202300088
Citation
93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2023)
Contribution to Conference
93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023  
Publisher DOI
10.1002/pamm.202300088
Publisher
Wiley-VCH
ISSN
1617-7061
The simulation of complex structures using standard finite element discretization techniques can be challenging because the creation of the boundary conforming meshes for such structures can be time-consuming. Therefore, fictitious domain methods are attractive alternatives because the underlying mesh does not have to conform to the boundary. One fictitious domain method is the finite cell method where a structured non-geometry conforming Cartesian grid is created and the geometry is then described by a simple indicator function. When solving non-linear problems, for example, if large deformations are taken into account, broken cells are typically heavily distorted and may lead to failure of the overall solution procedure. To tackle this issue remeshing is applied to proceed with the simulation. In previous publications, radial basis functions (RBFs) were applied to map the deformation gradient between the different meshes. However, it is not clear whether this is the best way to transfer data during the remeshing procedure. Therefore, we investigate whether there are alternative methods that can be used instead. This is then compared to the RBF interpolation and applied to different numerical examples with hyperelastic materials.
Subjects
Finite Cell Method
Large Deformations
Radial Basis Functions
Remeshing
DDC Class
620: Engineering
690: Building, Construction
Funding(s)
Neuvernetzung im Rahmen der Finiten Cell Methode für Probleme mit großen Deformationen  
Projekt DEAL  
Funding Organisations
Deutsche Forschungsgemeinschaft (DFG)  
Publication version
publishedVersion
Lizenz
https://creativecommons.org/licenses/by-nc/4.0/
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