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Efficient simulation of heterogeneous materials with the finite cell method
Citation Link: https://doi.org/10.15480/882.4257
Publikationstyp
Conference Paper
Date Issued
2021-12-14
Sprache
English
Author(s)
TORE-DOI
First published in
Number in series
21,1
Article Number
e202100139
Citation
PAMM 21 (1): e202100139 (2021)
Contribution to Conference
Publisher DOI
Publisher
Wiley-VCH
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.
DDC Class
510: Mathematik
530: Physik
600: Technik
620: Ingenieurwissenschaften
Funding Organisations
Publication version
acceptedVersion
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Proc Appl Math Mech - 2021 - Gorji - Efficient simulation of heterogeneous materials with the finite cell method.pdf
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