T-spline finite element method for the analysis of shell structures

International Journal for Numerical Methods in Engineering

Volumn 80, Issue 4, 2009, Pages 507-536

  Uhm, Tae Kyoung ^a   Youn, Sung Kie ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

CAD; CAE; Finite element method; Isogeometric analysis; Nonuniform rational B splines (NURBS); T splines

Indexed keywords

CAD; CAE; ISOGEOMETRIC ANALYSIS; NONUNIFORM RATIONAL B-SPLINES (NURBS); T-SPLINES;

FABRICS; IMAGE CODING; SHELLS (STRUCTURES); SHIP PROPELLERS; SPLINES;

FINITE ELEMENT METHOD;

EID: 70349438974     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2648     Document Type: Article

References (33)

1. Moore CJ, Yang TY, Anderson DC. New 48 D.O.F. quadrilateral shell element with variable-order polynomial and rational B-spline geometries with rigid body modes. International Journal for Numerical Methods in Engineering 1984; 20:2121-2141.
2. Shen P-C, Kan H-B. Multivariate spline element analysis for plate bending problems. Computers and Structures 1991; 40:1343-1349.
3. Pengcheng S, Peixiang H. Bending analysis of plates and spherical shells by multivariable spline element method based on generalized variational principle. Computers and Structures 1995; 55:151-157.
4. Fan SC, Luah MH. Nine node spline element for free vibration analysis of general plates. Journal of Sound and Vibration 1993; 165:85-100.
5. Düster A, Bröker H, Rank E. The p-version of the finite element method for three-dimensional curved thin walled structures. International Journal for Numerical Methods in Engineering 2001; 52:673-703.
6. Hughes TJR, Cottrell JA, Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Computer Methods in Applied Mechanics and Engineering 2005; 194:4135-4195.
7. Reali A. An isogeometric analysis approach for the study of structural vibrations. M.S. Thesis, Università degli Studi di Pavia, 2004.
8. Reali A. An isogeometric analysis approach for the study of structural vibrations. Journal of Earthquake Engineering 2006; 10:1-30.
9. Bazilevs Y, Calo VM, Zhang Y, Hughes TJR. Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Computational Mechanics 2006; 38:310-322.
10. Cottrell JA, Reali A, Bazilevs Y, Hughes TJR. Isogeometric analysis of structural vibrations. Computer Methods in Applied Mechanics and Engineering 2006; 195:5257-5296.
11. Cottrell JA, Hughes TJR, Reali A. Studies of refinement and continuity in isogeometric structural analysis. Computer Methods in Applied Mechanics and Engineering 2007; 196:4160-4183.
12. Zhang Y, Bazilevs Y, Goswami S, Bajaj CL, Hughes TJR. Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow. Computer Methods in Applied Mechanics and Engineering 2007; 196:2943-2959.
13. Sederberg TW, Zheng J, Bakenov A, Nasri A. T-splines and T-NURCCs. ACM Transactions on Graphics 2003; 22:477-484.
14. Sederberg TW, Cardon DL, Finnigan GT, North NS, Zheng J, Lyche T. T-spline simplification and local refinement. ACM Transactions on Graphics 2004; 23:276-283.
15. Kim K-S. A study on T-spline finite element analysis with local refinement. M.S. Thesis, Kaist, 2007.
16. Kim K-S, Seo Y-D, Youn S-K. Spline-based finite element analysis with T-spline local refinement. Proceedings of the International Conference on Computational Methods (ICCM 2007), Hiroshima, 2007; 188.
17. Uhm T-K, Seo Y-D, Kim H-J, Youn S-K. T-spline finite element method with local refinement. Proceedings of the Ninth U.S. National Congress on Computational Mechanics (USNCCM IX), San Francisco, July 2007.
18. Uhm T-K, Kim K-S, Seo Y-D, Youn S-K. A locally refinable T-spline finite element method for CAD/CAE integration. Structural Engineering and Mechanics 2008; 30:225-245.
19. Uhm T-K, Youn S-K. The analysis of shell structures using T-spline finite element method. Proceedings of the Eighth World Congress on Computational Mechanics (WCCM 8), Venice, June 2008.
20. Seo Y-D, Youn S-K. Integrated structural optimization with T-Spline finite element method (TSFEM). Proceedings of the Eighth World Congress on Computational Mechanics (WCCM 8), Venice, June 2008.
21. Kim H-J, Seo Y-D, Uhm T-K, Youn S-K. T-spline finite element analysis of the trimmed surface. Proceedings of the Eighth World Congress on Computational Mechanics (WCCM 8), Venice, June 2008.
22. Dörfel MR, Jüttler B, Simeon B. Adaptive isogeometric analysis by local h-refinement with T-splines. Computer Methods in Applied Mechanics and Engineering 2008; DOI:10.1016/j.cma.2008.07.012.
23. Bazilevs Y, Calo VM, Cottrell JA, Evans JA, Hughes TJR, Lipton S, Scott MA, Sederberg TW. Isogeometric analysis using T-splines. ICES Report 08-26, The University of Texas at Austin, 2008.
24. Cho M, Roh HY. Development of geometrically exact new shell elements based on general curvilinear co-ordinates. International Journal for Numerical Methods in Engineering 2003; 56:81-115.
25. Roh HY, Cho M. The application of geometrically exact shell elements to B-spline surfaces. Computer Methods in Applied Mechanics and Engineering 2004; 193:2261-2299.
26. Roh HY, Cho M. Integration of geometric design and mechanical analysis using B-spline functions on surface. International Journal for Numerical Methods in Engineering 2005; 62:1927-1949.
27. Roh HY. Integrated approach for geometric modeling and non-linear finite element analysis of shells using B-spline surfaces. Ph.D. Thesis, Seoul National University, 2005.
28. Inoue K, Kikuchi Y, Masuyama T. A NURBS finite element method for product shape design. Journal of Engineering Design 2005; 16:157-174.
29. Cirak F, Ortiz M, Schröder P. Subdivision surfaces: a new paradigm for thin-shell finite-element analysis. International Journal for Numerical Methods in Engineering 2000; 47:2039-2072.
30. Cirak F, Scott MJ, Antonsson EK, Ortiz M, Schröder P. Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision. Computer-Aided Design 2002; 34:137-148.
31. 1-conforming subdivision elements for finite deformation thin-shell analysis. International Journal for Numerical Methods in Engineering 2001; 51:813-833.
32. Piegl LA, Tiller W. The NURBS Book (Monographs in Visual Communication). Springer: New York, 1997.
33. Macneal RH, Harder RL. A proposed standard set of problems to test finite element accuracy. Finite Elements in Analysis and Design 1985; 1:3-20.