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  4. A remeshing approach for the finite cell method applied to problems with large deformations
 
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A remeshing approach for the finite cell method applied to problems with large deformations

Citation Link: https://doi.org/10.15480/882.4362
Publikationstyp
Conference Paper
Date Issued
2021-12
Sprache
English
Author(s)
Garhuom, Wadhah  orcid-logo
Hubrich, Simeon  
Radtke, Lars  
Düster, Alexander  
Institut
Konstruktion und Festigkeit von Schiffen M-10  
TORE-DOI
10.15480/882.4362
TORE-URI
http://hdl.handle.net/11420/11991
Journal
Proceedings in applied mathematics and mechanics  
Volume
21
Issue
1
Article Number
e202100047
Citation
Proceedings in Applied Mathematics and Mechanics 21 (1): e202100047 (2021-12)
Contribution to Conference
92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2022  
Publisher DOI
10.1002/pamm.202100047
Publisher
Wiley-VCH
The finite cell method (FCM) is based on an immersed boundary concept with high-order finite elements. When solving nonlinear problems using the FCM, it is often difficult to reach to the desired load step because of the large distortion of the mesh, particularly when badly broken cells are existing in the mesh. To overcome this problem, a global remeshing strategy is proposed to allow the nonlinear computation to proceed even for very large deformations where the distortion of the cells becomes significant. The core concept is to perform a computation up to a specific deformation state where the distortion of the cells becomes significant. Then, to continue the analysis, a new mesh is introduced. The performance of the proposed method is illustrated using two numerical examples of hyperelasticity.
DDC Class
510: Mathematik
530: Physik
600: Technik
620: Ingenieurwissenschaften
Funding(s)
SPP 1748: Teilprojekt "High-Order Immersed-Boundary-Methoden in der Festkörpermechanik für generativ gefertigte Strukturen"  
Projekt DEAL  
Publication version
publishedVersion
Lizenz
https://creativecommons.org/licenses/by/4.0/
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