Isogeometric shell analysis with Kirchhoff-Love elements

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 49-52, 2009, Pages 3902-3914

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

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

CAD; Isogeometric; Kirchhoff Love; NURBS; Rotation free; Shell

Indexed keywords

CAD; ISOGEOMETRIC; KIRCHHOFF-LOVE; NURBS; SHELL;

COMPUTER AIDED DESIGN; MECHANICS; ROTATION; SPLINES;

SHELLS (STRUCTURES);

EID: 70350141905     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.08.013     Document Type: Article

References (26)

1. Basar Y., and Krätzig W. Mechanik der Flächentragwerke (1985), Vieweg, Braunschweig
2. Y. Bazilevs, V.M. Calo, J.A. Cottrell, J.A. Evans, T.J.R. Hughes, S. Lipton, M.A. Scott, T.W. Sederberg, Isogeometric analysis using T-splines, Comput. Method Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2009.02.036.
3. Belytschko T., Liu W.K., and Moran B. Nonlinear Finite Elements for Continua and Structures (2000), Wiley
4. Belytschko T., Stolarski H., Liu W.K., Carpenter N., and Ong J.S.-J. Stress projection for membrane and shear locking in shell finite elements. Comput. Method Appl. Mech. Engrg. 51 (1985) 221-258
5. Bischoff M., Wall W.A., Bletzinger K.-U., and Ramm E. Models and finite elements for thin-walled structures. In: Stein E., de Borst R., and Hughes T.J.R. (Eds). Encyclopedia of Computational Mechanics. Solids, Structures and Coupled Problems vol. 2 (2004), Wiley (Chapter 3)
6. K.-U. Bletzinger, M. Firl, J. Linhard, R. Wüchner, Optimal shapes of mechanically motivated surfaces, Comput. Method Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2008.09.009.
7. Bletzinger K.-U., and Ramm E. Structural optimization and form finding of light weight structures. Comput. Struct. 79 (2001) 2053-2062
8. Cirak F., and Ortiz M. Fully C1-conforming subdivision elements for finite deformation thin shell analysis. Int. J. Numer. Method Engrg. 51 (2001) 813-833
9. Cirak F., Ortiz M., and Schröder P. Subdivision surfaces: a new paradigm for thin shell analysis. Int. J. Numer. Method Engrg. 47 (2000) 2039-2072
10. Cohen E., Riesenfeld R.F., and Elber G. Geometric Modeling with Splines: An Introduction (2001), A.K. Peters, Natick, MA
11. M. Dörfel, B. Jüttler, B. Simeon, Adaptive isogeometric analysis by local h-refinement with T-splines, Comput. Method Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2008.07.012.
12. Farin G., Hoschek J., and Kim M.S. Handbook of Computer Aided Geometric Design (2002), Elsevier Science Ltd.
13. Höllig K. Finite Element Methods with B-Splines (2003), Society for Industrial and Applies Mathematics, Philadelphia
14. Holzapfel G.A. Nonlinear Solid Mechanics (2006), Wiley, Chichester
15. Hughes T.J.R. The Finite Element Method, Linear Static and Dynamic Finite Element Analysis (2000), Dover Publications Inc.
16. Hughes T.J.R., Cottrell J.A., and Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement. Comput. Method Appl. Mech. Engrg. 194 (2005) 4135-4195
17. T.J.R. Hughes, A. Reali, G. Sangalli, Efficient quadrature for NURBS-based isogeometric analysis, Comput. Method Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2008.12.004.
18. Linhard J., Wüchner R., and Bletzinger K.-U. Upgrading membranes to shells - the CEG rotation free shell element and its application in structural analysis. Finite Element Anal. Des. 44 (2007) 63-74
19. MacNeal R.H., and Harder R.L. A proposed standard set of problems to test finite element accuracy. Finite Element Anal. Des. 1 (1985) 3-20
20. Oñate E., and Zárate F. Rotation-free triangular plate and shell elements. Int. J. Numer. Method Engrg. 47 (2000) 557-603
21. Piegl L., and Tiller W. The NURBS Book. second ed. (1997), Springer-Verlag, New York
22. Rogers D.F. An Introduction to NURBS With Historical Perspective (2001), Academic Press, San Diego, CA
23. Robert Schmidt, Development and implementation of a Rhino Preprocessor for the integration of CAD and isogeometric analysis, Master's Thesis, Technische Universität München, 2009.
24. Schneider K.-J. Bautabellen für Ingenieure. 15th ed. (2002), Werner Verlag
25. Schweizerhof K., and Ramm E. Displacement dependent pressure loads in nonlinear finite element analyses. Comput. Struct. 18 (1984) 1099-1114
26. Zienkiewicz O.C., Taylor R.L., and Zhu J.Z. The Finite Element Method, Its Basis and Fundamentals. sixth ed. (2005), Elsevier, Oxford