Ebrahem, Adnan ; Hiemstra, René R. ; Stoter, Stein K. F. ; Schillinger, Dominik (2023)
Modeling of Growth using an Immersed Finite Element Method.
In: PAMM - Proceedings in Applied Mathematics & Mechanics, 2023, 22 (1)
doi: 10.26083/tuprints-00023689
Article, Secondary publication, Publisher's Version
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Item Type: | Article |
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Type of entry: | Secondary publication |
Title: | Modeling of Growth using an Immersed Finite Element Method |
Language: | English |
Date: | 12 May 2023 |
Place of Publication: | Darmstadt |
Year of primary publication: | 2023 |
Publisher: | Wiley-VCH |
Journal or Publication Title: | PAMM - Proceedings in Applied Mathematics & Mechanics |
Volume of the journal: | 22 |
Issue Number: | 1 |
Collation: | 7 Seiten |
DOI: | 10.26083/tuprints-00023689 |
Corresponding Links: | |
Origin: | Secondary publication DeepGreen |
Abstract: | To prevent remeshing, we explore the use of a non‐boundary‐fitted finite element method for the computational modeling of growth including contact mechanics. Accordingly, we utilize a mesh‐related mapping procedure for the use of implicit geometry description by a level set function within the framework of immersed methods. Hence, our framework provides a setting to include patient‐specific geometries based on imaging data as we use a level set function for the implicit geometry description. In this contribution, we show that the proposed approach is a viable alternative for problems with mesh‐related obstacles, in particular when large growth simulations on complex patient‐specific geometries are of primary interest. |
Status: | Publisher's Version |
URN: | urn:nbn:de:tuda-tuprints-236893 |
Additional Information: | Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
Classification DDC: | 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering |
Divisions: | 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Numerical Mechanics |
Date Deposited: | 12 May 2023 08:49 |
Last Modified: | 14 Nov 2023 19:05 |
SWORD Depositor: | Deep Green |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23689 |
PPN: | 509296009 |
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