Realization of an integrated structural design process: Analysis-suitable geometric modelling and isogeometric analysis

Computing and Visualization in Science

Volumn 13, Issue 7, 2010, Pages 315-330

  Schmidt, R ^a   Kiendl, J ^a   Bletzinger, K U ^a   Wuchner R ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Analysis suitable geometric modelling; Integrated structural design process; Integration of CAD and CAE; Isogeometric analysis; NURBS

Indexed keywords

GEOMETRIC MODELLING; INTEGRATED STRUCTURAL DESIGN PROCESS; INTEGRATION OF CAD AND CAE; ISOGEOMETRIC ANALYSIS; NURBS;

COMPUTER AIDED DESIGN; GEOMETRY; INTEGRATION; PRODUCT DEVELOPMENT; SOFTWARE DESIGN; SPLINES; THIN WALLED STRUCTURES;

STRUCTURAL ANALYSIS;

EID: 79954614486     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-010-0147-z     Document Type: Article

References (36)

1. Y. Bazilevs V.M. Calo J.A. Cottrell J.A. Evans T.J.R. Hughes S. Lipton M.A. Scott T.W. Sederberg 2010 Isogeometric analysis using T-splines Comput. Methods Appl. Mech. Eng. 199 229 263 2576759 10.1016/j.cma.2009.02.036
2. Y. Bazilevs V.M. Calo T.J.R. Hughes Y. Zhang 2008 Isogeometric fluid-structure interaction: theory, algorithms, and computations Comput. Mech. 43 3 37 2443159 10.1007/s00466-008-0315-x 1169.74015
3. Y. Bazilevs V.M. Calo Y. Zhang T.J.R. Hughes 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow Comput. Mech. 38 310 322 2246128 10.1007/s00466-006-0084-3 1161.74020 (Pubitemid 43970670)
4. Y. Bazilevs T.J.R. Hughes 2008 Nurbs-based isogeometric analysis for the computation of flows about rotating components Comput. Mech. 43 143 150 2443159 10.1007/s00466-008-0277-z 1171.76043
5. Y. Bazilevs L. Beirão da Veiga J.A. Cottrell T.J.R. Hughes G. Sangalli 2006 Isogeometric analysis: approximation, stability and error estimates for h-refined meshes Math. Models Methods Appl. Sci. 7 1031 1090 10.1142/S0218202506001455 (Pubitemid 44076434)
6. D. Benson Y. Bazilevs M.C. Hsu T.J.R. Hughes 2010 Isogeometric shell analysis: the ReissnerMindlin shell Comput. Methods Appl. Mech. Eng. 199 276 289 2576761 10.1016/j.cma.2009.05.011
7. Bischoff M.; Wall W.A.; Bletzinger K.U.; Ramm E.: Models and finite elements for thin-walled structures. In: Stein, E.; de Borst, R.; Hughes, T. (eds) Encyclopedia of Computational Mechanics, vol. 2, Solids, Structures, Wiley, New York (2004)
8. Bletzinger, K.U.: Theory of plates. In: Lecture Notes (2008)
9. J. Blinn 1987 How many ways can you draw a circle? IEEE Comput. Graph. Appl. 7 8 39 44 10.1109/MCG.1987.276918
10. A. Buffaa D. Cho G. Sangalli 2010 Linear independence of the T-spline blending functions associated with some particular T-meshes Comput. Methods Appl. Mech. Eng. 199 1437 1445 10.1016/j.cma.2009.12.004
11. F. Cirak M. Scott E. Antonsson P. Schröder 2002 Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision Comput. Aided Design 34 137 148 10.1016/S0010-4485(01)00061-6 (Pubitemid 33076453)
12. E. Cohen T. Martin R.M. Kirby T. Lyche R. Riesenfeld 2010 Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis Comput. Methods Appl. Mech. Eng. 199 334 356 2576766 10.1016/j.cma.2009.09.010
13. Cohen E.; Riesenfeld R.F.; Elber G.: Geometric Modeling with Splines: An Introduction. AK Peters, Natick (2001)
14. Cottrell J.A.; Hughes T.J.R.; Bazilevs Y.: Isogeometric Analysis: Toward Integration of CAD and FEA. Wiley, Chichester (2009)
15. J.A. Cottrell T.J.R. Hughes A. Reali 2007 Studies of refinement and continuity in isogeometric structural analysis Comput. Methods Appl. Mech. Eng. 196 4160 4183 2361475 10.1016/j.cma.2007.04.007 1173.74407 (Pubitemid 47201738)
16. J.A. Cottrell A. Reali Y. Bazilevs T.J.R. Hughes 2006 Isogeometric analysis of structural vibrations Comput. Methods Appl. Mech. Eng. 195 5257 5296 2243311 10.1016/j.cma.2005.09.027 1119.74024 (Pubitemid 44172039)
17. M.R. Dörfel B. Jüttler B. Simeon 2010 Adaptive isogeometric analysis by local h-refinement with T-splines Comput. Methods Appl. Mech. Eng. 199 264 275 10.1016/j.cma.2008.07.012
18. J. Evans Y. Bazilevs I. Babuŝka T.J.R. Hughes 2009 n-widths, sup-infs, and optimality ratios for the k-version of the isogeometric fnite element method Comput. Methods Appl. Mech. Eng. 198 1726 1741 10.1016/j.cma.2009.01.021
19. Farin G.: Curves and Surfaces for CAGD, 5th edn. Morgan Kaufmann, Los Altos (2002)
20. Farin G.; Hoschek J.; Kim M.S.: Handbook of Computer Aided Geometric Design. Elsevier, Amsterdam (2002)
21. Hoppe, H.; DeRose, T.; Duchamp, T.; McDonald, J.; Stuetzle, W.: Mesh optimization. In: SIGGRAPH '93: Proceedings of the 20th Annual Conference on Computer Graphics and Interactive techniques, pp. 19-26. ACM, New York (1993). doi: 10.1145/166117.166119
22. T.J.R. Hughes J.A. Cottrell Y. Bazilevs 2005 Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement Comput. Methods Appl. Mech. Eng. 194 4135 4195 2152382 10.1016/j.cma.2004.10.008 1151.74419 (Pubitemid 40875970)
23. T.J.R. Hughes A. Reali G. Sangalli 2010 Efficient quadrature for NURBS-based isogeometric analysis Comput. Methods Appl. Mech. Eng. 199 301 313 2576763 10.1016/j.cma.2008.12.004
24. P. Kagan A. Fischer 2000 Integrated mechanically based CAE system using B-spline finite elements Comput. Aided Design 32 8-9 539 552 10.1016/S0010-4485(00)00041-5 1206.65050
25. Kiendl, J.; Bazilevs, Y.; Hsu, M.C.; Wüchner, R.; Bletzinger, K.U.: The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches. Comput. Methods Appl. Mech. Eng. (2010). doi: 10.1016/j.cma.2010.03.029
26. J. Kiendl K.U. Bletzinger J. Linhard R. Wüchner 2009 Isogeometric shell analysis with Kirchhoff-Love elements Comput. Methods Appl. Mech. Eng. 198 3902 3914 10.1016/j.cma.2009.08.013
27. H.J. Kim Y.D. Seo S.K. Youn 2009 Isogeometric analysis for trimmed CAD surfaces Comput. Methods Appl. Mech. Eng. 198 2982 2995 10.1016/j.cma.2009.05. 004
28. J. Linhard R. Wüchner K.U. Bletzinger 2007 "Upgrading" membranes to shells-the CEG rotation free shell element and its application in structural analysis Finite Elem. Anal. Design 44 63 74 10.1016/j.finel.2007.09. 001 (Pubitemid 350116290)
29. S. Lipton J.A. Evans Y. Bazilevs T. Elguedj T.J.R. Hughes 2010 Robustness of isogeometric structural discretizations under severe mesh distortion Comput. Methods Appl. Mech. Eng. 199 357 373 10.1016/j.cma.2009.01.022
30. L. Piegl W. Tiller 1989 A menagerie of rational B-spline circles Comput. Graph. Appl. IEEE 9 48 56 10.1109/38.35537 (Pubitemid 20617913)
31. Piegl L.; Tiller W.: The NURBS Book, 2nd edn. Springer, Berlin (1997)
32. Rogers D.F.: An Introduction to NURBS With Historical Perspective. Academic Press, San Diego (2001)
33. Schumaker L.L.: Spline Functions: Basic Theory. Cambridge University Press, Cambridge (2007)
34. T.W. Sederberg G.T. Finnigan X. Li H. Lin H. Ipson 2008 Watertight trimmed NURBS ACM Trans. Graph. 27 3 1 8 10.1145/1360612.1360678
35. T.W. Sederberg J. Zheng A. Bakenov A. Nasri 2003 T-Splines and T-NURCCs ACM Trans. Graph. 22 3 477 484 10.1145/882262.882295
36. W. Wall M. Frenzel C. Cyron 2008 Isogeometric structural shape optimization Comput. Methods Appl. Mech. Eng. 197 2976 2988 2427096 10.1016/j.cma.2008.01.025 1194.74263