Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.3604
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Title: The hierarchical finite cell method for nonlinear problems: moment fitting quadratures, basis function removel, and remeshing
Language: English
Authors: Hubrich, Simeon 
Issue Date: 2021
Examination Date: 16-Feb-2021
Publisher: VDI Verlag
Source: Technische Universität Hamburg (2021)
Abstract (german): 
In dieser Arbeit werden mehrere Ansätze diskutiert, um die Performance der Finite Cell Methode (FCM) weiter zu optimieren. Hierbei werden neue Moment Fitting Quadraturen eingeführt, welche den numerischen Integrationsaufwand erheblich reduzieren. Zur Verbesserung der Konditionierung des resultierenden Gleichungssystems wird ein Verfahren zur Eliminierung von Basisfunktionen vorgestellt.
Desweiteren wird eine innovative Neuvernetzungsstrategie präsentiert, die das Problem stark verzerrter Elemente bei Simulationen mit großen Deformationen überwindet.
Abstract (english): 
In this thesis, several approaches are discussed in order to further enhance the performance of the finite cell method (FCM).
Thereby, novel moment fitting quadrature schemes are introduced that allow to reduce the effort of the numerical integration process significantly. Further, a basis function removal scheme is proposed to improve the conditioning behavior of the resulting equation system. Finally, an innovative remeshing strategy is presented that overcomes the problem of severely distorted elements for simulations with large deformations.
URI: http://hdl.handle.net/11420/9752
DOI: 10.15480/882.3604
ISBN: 978-3-18-335518-1
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Thesis
Thesis Type: Doctoral Thesis
Advisor: Düster, Alexander 
Referee: Rank, Ernst 
Project: SPP 1748: Teilprojekt "High-Order Immersed-Boundary-Methoden in der Festkörpermechanik für generativ gefertigte Strukturen" 
Peer Reviewed: Yes
License: In Copyright In Copyright
Part of Series: Fortschrittberichte VDI. Reihe 18, Mechanik, Bruchmechanik 
Volume number: 355
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