Please use this identifier to cite or link to this item:
https://doi.org/10.15480/882.4257
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 | URI: | http://hdl.handle.net/11420/12089 | 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: | ![]() |
Part of Series: | Proceedings in applied mathematics and mechanics | Volume number: | 21,1 |
Appears in Collections: | Publications with fulltext |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Proc Appl Math Mech - 2021 - Gorji - Efficient simulation of heterogeneous materials with the finite cell method.pdf | Accepted Manuscript | 2,77 MB | Adobe PDF | View/Open![]() |
Page view(s)
84
Last Week
0
0
Last month
checked on Mar 23, 2023
Download(s)
95
checked on Mar 23, 2023
Google ScholarTM
Check
Note about this record
Cite this record
Export
This item is licensed under a Creative Commons License