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Isogeometric boundary element analysis using unstructured T-splines

delete2013-02-01
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M
Michael A. Scott *
R
Robert Simpson
J
John A. Evans
S
S. Lipton
S
Stéphane Bordas
T
Thomas J.R. Hughes
DOI:10.1016/j.cma.2012.11.001delete
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Abstract

Abstract

En 中文
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 Bezier 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. (C) 2012 Elsevier B.V. All rights reserved.
Keywords:
Isogeometric analysis
T-splines
Boundary elements
Design-through-analysis
Collocation
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

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U
university of texas austin
Scholars:
2.4W
Papers: 2.0W
Citations: 54
C
Cardiff University
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Papers: 2.5W
Citations: 3.5W
U
university of texas system
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18.5W
Papers: 15.6W
Citations: 210
B
Brigham Young University
Scholars:
9.0K
Papers: 6.0K
Citations: 9.3K
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