Duczek, Sascha and Willberg, Christian and Gabbert, Ulrich (2017) Higher Order Finite Element Methods. In: Lamb-Wave Based Structural Health Monitoring in Polymer Composites Research Topics in Aerospace. Springer International Publishing. pp. 117-159. doi: 10.1007/978-3-319-49715-0. ISBN 978-3-319-49714-3. ISSN 2194-8240.
Full text not available from this repository.
Official URL: http://www.springer.com/de/book/9783319497143
Abstract
The efficiency of numerical methods for wave propagation analysis is essential, as very fine spatial and temporal resolutions are required in order to properly describe all the phenomena of interest, such as scattering, reflection, mode conversion, and many more. These strict demands originate from the fact that high-frequency ultrasonic guided waves are investigated. In the current chapter, we focus on the finite element method (FEM) based on higher order basis functions and demonstrate its range of applicability. Thereby, we discuss the p-FEM, the spectral element method (SEM), and the isogeometric analysis (IGA). Additionally, convergence studies demonstrate the performance of the different higher order approaches with respect to wave propagation problems. The results illustrate that higher order methods are an effective numerical tool to decrease the numerical costs and to increase the accuracy. Furthermore, we can conclude that FE-based methods are principally able to tackle all wave propagation-related problems, but they are not necessarily the most efficient choice in all situations.
Item URL in elib: | https://elib.dlr.de/109795/ | |||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Document Type: | Contribution to a Collection | |||||||||||||||
Title: | Higher Order Finite Element Methods | |||||||||||||||
Authors: |
| |||||||||||||||
Date: | 28 September 2017 | |||||||||||||||
Journal or Publication Title: | Lamb-Wave Based Structural Health Monitoring in Polymer Composites | |||||||||||||||
Refereed publication: | Yes | |||||||||||||||
Open Access: | No | |||||||||||||||
Gold Open Access: | No | |||||||||||||||
In SCOPUS: | No | |||||||||||||||
In ISI Web of Science: | No | |||||||||||||||
DOI : | 10.1007/978-3-319-49715-0 | |||||||||||||||
Page Range: | pp. 117-159 | |||||||||||||||
Editors: |
| |||||||||||||||
Publisher: | Springer International Publishing | |||||||||||||||
Series Name: | Research Topics in Aerospace | |||||||||||||||
ISSN: | 2194-8240 | |||||||||||||||
ISBN: | 978-3-319-49714-3 | |||||||||||||||
Status: | Published | |||||||||||||||
Keywords: | Lamb waves, SHM, FEM, Numerics | |||||||||||||||
HGF - Research field: | Aeronautics, Space and Transport | |||||||||||||||
HGF - Program: | Aeronautics | |||||||||||||||
HGF - Program Themes: | fixed-wing aircraft | |||||||||||||||
DLR - Research area: | Aeronautics | |||||||||||||||
DLR - Program: | L AR - Aircraft Research | |||||||||||||||
DLR - Research theme (Project): | L - Simulation and Validation (old) | |||||||||||||||
Location: | Braunschweig | |||||||||||||||
Institutes and Institutions: | Institute of Composite Structures and Adaptive Systems > Structural Mechanics | |||||||||||||||
Deposited By: | Willberg, Dr.-Ing. Christian | |||||||||||||||
Deposited On: | 18 Sep 2017 09:33 | |||||||||||||||
Last Modified: | 18 Sep 2017 09:33 |
Repository Staff Only: item control page