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Publisher DOI: 10.1002/pamm.202100139
Title: Efficient simulation of heterogeneous materials with the finite cell method
Language: English
Authors: Gorji, Mahan 
Düster, Alexander 
Issue Date: 14-Dec-2021
Publisher: Wiley-VCH
Source: PAMM 21 (1): e202100139 (2021)
Abstract (english): 
The finite cell method (FCM) represents a combination of high-order finite elements with the fictitious domain approach. Due to it's simple mesh generation the FCM reduces the pre-processing effort. For heterogeneous problems of solid mechanics however, discontinuities occur at the material interfaces, which cannot be captured by the smooth shape functions of the FCM anymore, whereby the convergence deteriorates. Thus, to recover the optimal convergence rate, we extend the FCM ansatz by specially designed shape functions, which are able to capture discontinuities at the material interfaces. To get more insight into the problem, we study the performance of the proposed method by means of a two-dimensional example.
Conference: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2022 
DOI: 10.15480/882.4257
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Chapter/Article (Proceedings)
Project: Numerische Modellierung teilzementierter Böden im Stagnationsbereich 
Projekt DEAL 
Funded by: Deutsche Forschungsgemeinschaft (DFG) 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
Part of Series: Proceedings in applied mathematics and mechanics 
Volume number: 21,1
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