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Publisher DOI: 10.1002/pamm.202100047
Title: A remeshing approach for the finite cell method applied to problems with large deformations
Language: English
Authors: Garhuom, Wadhah  
Hubrich, Simeon 
Radtke, Lars 
Düster, Alexander 
Issue Date: Dec-2021
Publisher: Wiley-VCH
Source: Proceedings in Applied Mathematics and Mechanics 21 (1): e202100047 (2021-12)
Abstract (english): 
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.
Conference: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2022 
DOI: 10.15480/882.4362
ISSN: 1617-7061
Journal: Proceedings in applied mathematics and mechanics 
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Chapter/Article (Proceedings)
Project: SPP 1748: Teilprojekt "High-Order Immersed-Boundary-Methoden in der Festkörpermechanik für generativ gefertigte Strukturen" 
Projekt DEAL 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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