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Rotation free isogeometric thin shell analysis using PHT-splines
Authors:N Nguyen-Thanh  J Kiendl  H Nguyen-Xuan  R Wüchner  KU Bletzinger  Y Bazilevs  T Rabczuk
Affiliation:1. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstrasse 15, 99423 Weimar, Germany;2. Chair of Structural Analysis, Technische Universität München, 80333 Munich, Germany;3. Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science-VNU HCM, 227 Nguyen Van Cu Street, Ho Chi Minh City, Viet Nam;4. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA;1. Fachgebiet Statik und Dynamik der Tragwerke, Technische Universität Kaiserslautern, Paul-Ehrlich-Straße, 67663 Kaiserslautern, Germany;2. Arbeitsgruppe Differential-Algebraische Systeme, Technische Universität Kaiserslautern, Paul-Ehrlich-Straße, 67663 Kaiserslautern, Germany;1. Aalto University, Department of Civil Engineering, P.O. Box 12100, 00076 AALTO, Finland;2. Technische Universität Braunschweig, Institute of Applied Mechanics, Bienroder Weg 87, 38106 Braunschweig, Germany;3. University of Pavia, Department of Civil Engineering and Architecture, via Ferrata 3, 27100, Pavia, Italy;4. Technische Universität München, Institute for Advanced Study, Lichtenbergstraße 2 a, 85748, Garching, Germany;1. Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA;2. Lehrstuhl für Statik, Technische Universität München, Arcisstr. 21, München 80333, Germany;1. Departamento de Métodos Matemáticos, Universidade da Coruña, Campus de A Coruña, 15071, A Coruña, Spain;2. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA;3. Department of Civil Engineering and Architecture, University of Pavia, via Ferrata 3, 27100, Pavia, Italy;4. Technische Universität München–Institute for Advanced Study, Lichtenbergstraße 2a, 85748, Garching, Germany;5. Institute of Applied Mechanics–TU Braunschweig, Bienroder Weg 87, 38106 Braunschweig, Germany
Abstract:This paper presents a novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the flexibility of T-meshes for local refinement. The main advantage of the PHT-splines in the context of thin shell theory is that it achieves C1 continuity, so the Kirchhoff–Love theory can be used in pristine form. No rotational degrees of freedom are needed. Numerical results show the excellent performance of the present method.
Keywords:
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