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https://doi.org/10.15480/882.3604

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: | ![]() |
Part of Series: | Fortschrittberichte VDI. Reihe 18, Mechanik, Bruchmechanik | Volume number: | 355 |
Appears in Collections: | Publications with fulltext |
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Hubrich_Simeon_The_hierarchical_finite_cell_method_for_nonlinear_problems.pdf | Dissertation | 72,23 MB | Adobe PDF | View/Open![]() |
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