Browse > Article
http://dx.doi.org/10.3795/KSME-A.2009.33.2.127

T-spline Finite Element Method for CAD/CAE Integrated Approach  

Uhm, Tae-Kyoung (KAIST 기계공학과)
Kim, Ki-Seung (LIG Nex1, 기계공학 R&D 센터)
Seo, Yu-Deok (KAIST 기계공학과)
Youn, Sung-Kie (KAIST 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.33, no.2, 2009 , pp. 127-134 More about this Journal
Abstract
T-splines are recently proposed geometric modeling tools. A T-spline surface is a NURBS surface with T-junctions and is defined by a control grid called T-mesh. Local refinement can be performed very easily for T-splines while it is limited for B-splines or NURBS. Using T-splines, patches with unmatched boundaries can be combined easily without special technique. In this study, the analysis methodology using T-splines is proposed. In this methodology, T-splines are used both for description of geometries and for approximation of solution spaces. Two-dimensional linear elastic and dynamic problems will be solved by employing the proposed T-spline finite element method, and the effectiveness of the current analysis methodology will be verified.
Keywords
T-Spline; Isogeometric Analysis; Finite Element Method; CAD; CAE;
Citations & Related Records

Times Cited By SCOPUS : 1
연도 인용수 순위
1 Cottrell, J. A., Hughes, T. J. R. and Reali, A., 2007, “Studies of Refinement and Continuity in Isogeometric Structural Analysis,” Comput. Methods Appl. Mech. Engrg., Vol. 196, pp. 4160-4183   DOI   ScienceOn
2 Roh, H. Y. and Cho, M., 2005, “Integration of Geometric Design and Mechanical Analysis Using B-Spline Functions on Surface,” Int. J. Numer. Meth. Engng.,Vol. 62, pp. 1927-1949   DOI   ScienceOn
3 Hughes, T. J. R., Cottrell, J. A. and Bazilevs, Y., 2005, “Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry and Mesh Refinement,” Comput. Methods Appl. Mech. Engrg., Vol. 194, pp. 4135-4195   DOI   ScienceOn
4 Roh, H. Y. and Cho, M., 2004, “The Application of Geometrically Exact Shell Elements to B-Spline Surfaces,” Comput. Methods Appl. Mech. Engrg., Vol. 193, pp. 2261-2299   DOI   ScienceOn
5 Bazilevs, Y., Calo, V. M., Zhang, Y. and Hughes, T. J. R., 2006, “Isogeometric Fluid-Structure Interaction Analysis with Applications to Arterial Blood Flow,” Comput. Mech., Vol. 38, pp. 310-322   DOI
6 Cirak, F., Scott, M. J., Antonsson, E. K., Ortiz, M. and Schröder P., 2002, “Integrated Modeling, Finite-Element Analysis, and Engineering Design for Thin-Shell Structures Using Subdivision,” Comput. Aided Design, Vol. 34, pp. 137-148   DOI   ScienceOn
7 Sederberg, T. W., Zheng, J., Bakenov, A. and Nasri, A., 2003, “T-splines and T-NURCCs,” ACM T. Graphic., Vol. 22, pp. 477-484   DOI   ScienceOn
8 Sederberg, T. W., Cardon, D. L., Finnigan, G. T., North, N. S., Zheng, J. and Lyche, T., 2004, “T-spline Simplification and Local Refinement,” ACM T. Graphic., Vol. 23, pp. 276-283   DOI   ScienceOn
9 Cottrell, J. A., Reali, A., Bazilevs, Y. and Hughes, T. J. R., 2006, “Isogeometric Analysis of Structural Vibrations,” Comput. Methods Appl. Mech. Engrg., Vol. 195, pp. 5257-5296   DOI   ScienceOn
10 Zhang, Y., Bazilevs, Y., Goswami, S., Bajaj, C. L. and Hughes, T. J. R., 2007, “Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow,” Comput. Methods Appl. Mech. Engrg., Vol. 196, pp. 2943-2959   DOI   ScienceOn
11 Cirak, F., Ortiz, M. and Schroder, P., 2000, “Subdivision Surfaces: a New Paradigm for Thin-Shell Finite-Element Analysis”, Int. J. Numer. Meth. Engng., Vol. 47, pp. 2039-2072   DOI   ScienceOn
12 Cirak, F. and Ortiz, M., 2001, “Fully $C^1$-Conforming Subdivision Elements for Finite Deformation Thin-Shell Analysis,” Int. J. Numer. Meth. Engng., Vol. 51, pp. 813-833   DOI   ScienceOn