期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 254, 期 -, 页码 197-221出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.11.001
关键词
Isogeometric analysis; T-splines; Boundary elements; Design-through-analysis; Collocation
资金
- Framework Programme 7 Initial Training Network Funding Integrating Numerical Simulation and Geometric Design Technology [289361]
- UK Engineering and Physical Science Research Council (EPSRC) [EP/G069352/1]
- EPSRC [EP/G042705/1]
- European Research Council Starting Independent Research Grant [279578]
- J.T. Oden Visitors Program
- Office of Naval Research [N00014-08-1-0992, N00014-08-C-0920]
- National Science Foundation [CMMI-1101007]
- SINTEF [UTA10-000374]
- EPSRC [EP/G042705/1, EP/G069352/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G069352/1, EP/G042705/1] Funding Source: researchfish
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1101007] Funding Source: National Science Foundation
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.
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