Article (Scientific journals)
Isogeometric boundary element analysis using unstructured T-splines
Scott, M. A.; Simpson, R. N.; Evans, J. A. et al.
2013In Computer Methods in Applied Mechanics and Engineering, 254, p. 197-221
Peer reviewed
 

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Keywords :
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.
Disciplines :
Mathematics
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
Language :
English
Title :
Isogeometric boundary element analysis using unstructured T-splines
Publication date :
2013
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
Volume :
254
Pages :
197-221
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
European Projects :
FP7 - 289361 - INSIST - Integrating Numerical Simulation and Geometric Design Technology
Funders :
CE - Commission Européenne [BE]
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since 25 November 2013

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