Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 107, Issue 3, Pages 205-233Publisher
WILEY
DOI: 10.1002/nme.5163
Keywords
isogeometric analysis; Powell-Sabin B-splines; NURBS-to-NURPS; NURBS; unstructured T-splines; Bezier extraction
Ask authors/readers for more resources
The equations that govern Kirchhoff-Love plate theory are solved using quadratic Powell-Sabin B-splines and unstructured standard T-splines. Bezier extraction is exploited to make the formulation computationally efficient. Because quadratic Powell-Sabin B-splines result in C-A(1)-continuous shape functions, they are of sufficiently high continuity to capture Kirchhoff-Love plate theory when cast in a weak form. Unlike non-uniform rational B-splines (NURBS), which are commonly used in isogeometric analysis, Powell-Sabin B-splines do not necessarily capture the geometry exactly. However, the fact that they are defined on triangles instead of on quadrilaterals increases their flexibility in meshing and can make them competitive with respect to NURBS, as no bending strip method for joined NURBS patches is needed. This paper further illustrates how unstructured T-splines can be modified such that they are C-A(1)-continuous around extraordinary points, and that the blending functions fulfil the partition of unity property. The performance of quadratic NURBS, unstructured T-splines, Powell-Sabin B-splines and NURBS-to-NURPS (non-uniform rational Powell-Sabin B-splines, which are obtained by a transformation from a NURBS patch) is compared in a study of a circular plate. Copyright (c) 2015 John Wiley & Sons, Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available