Adaptive numerical integration of broken finite cells based on moment fitting applied to finite strain problems

Publikationstyp
Conference Paper
Date Issued
2018-12-17
Sprache
English
Author(s)
Hubrich, Simeon  
Düster, Alexander  
Institut
Konstruktion und Festigkeit von Schiffen M-10  
TORE-URI
http://hdl.handle.net/11420/4843
First published in
Proceedings in applied mathematics and mechanics  
Volume
18
Issue
1
Article Number
e201800089
Citation
Proceedings in applied mathematics and mechanics : PAMM 18 (1): e201800089 (2018)
Contribution to Conference
89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2018)  
Publisher DOI
10.1002/pamm.201800089
Publisher
Wiley-VCH
In the finite cell method (FCM) which is based on the fictitious domain approach the numerical integration of broken cells represents a major challenge. Commonly, an adaptive integration scheme is used which, usually, results in a large number of integration points and thus increases the numerical effort, especially for nonlinear applications. To reduce the number of integration points, we present an adaptive scheme which is based on moment fitting. Thereby, we introduce an approach based on Lagrange polynomials which avoids the necessity of solving the moment fitting equation system. We study the performance of this integration method considering two numerical examples for finite strain problems of the FCM.
DDC Class
510: Mathematik
530: Physik
620: Ingenieurwissenschaften