Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 316, Issue -, Pages 349-372Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.07.020
Keywords
Truncation mechanism; T-splines; Local refinement; Analysis-suitability; Isogeometric analysis
Funding
- PECASE Award [N00014-16-1-2254]
- NSF CAREER Award [OCI-1149591]
- ONR [N00014-08-1-0992]
- SINTEF [UTA10-000374]
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In this paper, we present Truncated T-splines as a new type of T-splines suitable for both geometric design and analysis, supporting highly localized refinement. Truncated T-spline basis functions are piece-wise polynomials that are linearly independent and form a partition of unity. Refinement of truncated T-splines produces nested spline spaces. Furthermore, we study truncated T-splines and local refinement on the general domain (2-manifold) with extraordinary points in the T-mesh. G(1) continuity is attained around extraordinary points by properly capping quartic Bezier patches, where a constrained optimization problem is solved. In the end, we study benchmark problems using truncated T-splines in the context of isogeometric analysis. We also apply truncated T-splines to complex geometries to show the smooth surfaces and simulation results under local refinement. (C) 2016 Elsevier B.V. All rights reserved.
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