Reference : Isogeometric boundary element analysis using unstructured T-splines
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/11850
Isogeometric boundary element analysis using unstructured T-splines
English
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 mailto [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]
2013
Computer Methods in Applied Mechanics & Engineering
254
197-221
Yes (verified by ORBilu)
International
0045-7825
[en] Boundary elements ; Collocation ; Design-through-analysis ; Isogeometric analysis ; T-splines ; Computer aided design ; Rational functions ; Splines ; Three dimensional ; Boundary element method
[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.
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/11850
10.1016/j.cma.2012.11.001
FP7 ; 289361 - INSIST - Integrating Numerical Simulation and Geometric Design Technology

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