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http://dx.doi.org/10.18419/opus-11159
Autor(en): | Mordhorst, Mylena |
Titel: | Towards a fast and stable dynamic skeletal muscle model |
Erscheinungsdatum: | 2020 |
Verlag: | Stuttgart : Institute for Modelling and Simulation of Biomechanical Systems, Chair of Continuum Biomechanics and Mechanobiology, University of Stuttgart |
Dokumentart: | Dissertation |
Seiten: | vi, 165 |
Serie/Report Nr.: | CBM;5 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-111766 http://elib.uni-stuttgart.de/handle/11682/11176 http://dx.doi.org/10.18419/opus-11159 |
ISBN: | 978-3-946412-04-5 |
Zusammenfassung: | This thesis investigates the possibility to reduce the computational effort of a dynamic skeletal muscle model making use of model order reduction methods. For that purpose, a three-dimensional, nonlinear, dynamic skeletal muscle model based on the theory of incompressible finite hyperelasticity is introduced. After discretisation in space and time, using the mixed Taylor-Hood finite elements and the implicit Euler scheme, respectively, the obtained complex and high-dimensional differential algebraic equation system describing the three fields position, velocity and pressure, is investigated from a theoretical as well as computational point of view. Furthermore, the stability issues, encountered with a reduced-order model, built by projecting each field of the high-dimensional model onto a reduced subspace, are demonstrated. The reason for these problems is additionally investigated and confirmed from the theoretical perspective. In order to propose a suitable approach for obtaining a stable reduced order skeletal muscle model, the well-established technique of combining the reduced basis approximation with the proper orthogonal decomposition needs to be customised. The performance with respect to stability, effciency and accuracy of different reduced-order models, built from various combinations and sizes of subspaces, each of them again constructed from differently calculated POD bases, with and without enrichment by approximate supremizer solutions, is compared. |
Enthalten in den Sammlungen: | 02 Fakultät Bau- und Umweltingenieurwissenschaften |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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2020-10-20_Dissertation_MordhorstMylena.pdf | 35,51 MB | Adobe PDF | Öffnen/Anzeigen |
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