Reference : Isogeometric boundary element analysis using unstructured T-splines

	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/11850

Title :	Isogeometric boundary element analysis using unstructured T-splines
Language :	English
Author, co-author :	Scott, M. A. [Department of Civil and Environmental Engineering, Brigham Young University, Provo, UT 84602, United States]
	Simpson, R. N. [Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, Wales, United Kingdom]
	Evans, J. A. [Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, United States]
	Lipton, S. [Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, United States]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Hughes, T. J. R. [Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, United States]
	Sederberg, T. W. [Department of Computer Science, Brigham Young University, Provo, UT 84602, United States]
Publication date :	2013
Journal title :	Computer Methods in Applied Mechanics and Engineering
Volume :	254
Pages :	197-221
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0045-7825
Keywords :	[en] Boundary elements ; Collocation ; Design-through-analysis ; Isogeometric analysis ; T-splines ; Computer aided design ; Rational functions ; Splines ; Three dimensional ; Boundary element method
Abstract :	[en] We couple collocated isogeometric boundary element methods and unstructured analysis-suitable T-spline surfaces for linear elastostatic problems. We extend the definition of analysis-suitable T-splines to encompass unstructured control grids (unstructured meshes) and develop basis functions which are smooth (rational) polynomials defined in terms of the Bézier extraction framework and which pass standard patch tests. We then develop a collocation procedure which correctly accounts for sharp edges and corners, extraordinary points, and T-junctions. This approach is applied to several three-dimensional problems, including a real-world T-spline model of a propeller. We believe this work clearly illustrates the power of combining new analysis-suitable computer aided design technologies with established analysis methodologies, in this case, the boundary element method. © 2012 Elsevier B.V.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/11850
DOI :	10.1016/j.cma.2012.11.001
Framework Programme / European Project :	FP7 ; 289361 - INSIST - Integrating Numerical Simulation and Geometric Design Technology

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