"Upgrading" membranes to shells-The CEG rotation free shell element and its application in structural analysis

Finite Elements in Analysis and Design

Volumn 44, Issue 1-2, 2007, Pages 63-74

  Linhard, Johannes ^a   Wüchner, Roland ^a   Bletzinger, Kai Uwe ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Geometrically nonlinear; Kirchhoff Love; Large displacements; Quadrilateral; Rotation free shell element; Triangle

Indexed keywords

BENDING STRENGTH; COMPUTATIONAL GEOMETRY; NONLINEAR ANALYSIS; SHELLS (STRUCTURES); STRAIN MEASUREMENT;

GEOMETRICALLY NONLINEAR; KIRCHHOFF-LOVE; ROTATION FREE SHELL ELEMENTS;

MOLECULAR STRUCTURE;

EID: 36148960100     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2007.09.001     Document Type: Article

References (17)

1. 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 (2004), Wiley, Chichester
2. Basar Y., and Krätzig W. Mechanik der Flächentragwerke (1985), Vieweg, Braunschweig
3. Chapelle D., and Bathe K.J. Fundamental considerations for the finite element analysis of shell structures. Comput. Struct. 66 1 (1998) 19-36
4. Lee P.S., and Bathe K.J. Insight into finite element shell discretization by use of the basic shell mathematical model. Comput. Struct. 83 1 (2005) 69-90
5. Krätzig W., and Jun D. On 'best' shell models-from classical shells, degenerated and multi-layered concepts to 3D. Arch. Appl. Mech. 73 1 (2003) 1-25
6. Oñate E., and Flores F.G. Advances in the formulation of the rotation-free basic shell triangle. Comp. Meth. Appl. Mech. Eng. 194 (2005) 2406-2443
7. 1-conforming subdivision elements for finite deformations thin-shell analysis. Int. J. Numer. Meth. Eng. 51 (2001) 813-833
8. Wakefield D. Basics and calculation of membrane structures. In: Koch K.M. (Ed). Membrane Structures (2004), Prestel, New York
9. Holzapfel G. Nonlinear Solid Mechanics (2004), Wiley, Chichester
10. R. Ziegler, Theorie und Numerik für den Entwurf von vorgespannten Membrantragwerken, Doktorarbeit, Institut für Baustatik, Universität Karlsruhe, 2001.
11. Do Carmo M. Differential Geometry of Curves and Surfaces (1976), Prentice-Hall, Englewood Cliffs, NJ
12. Green A.E., and Zerna W. Theoretical Elasticity (1954), Clarendon Press, Oxford
13. Zienkiewicz O.C., Taylor R.L., and Zhu J.Z. The Finite Element Method Set (2005), Elsevier, Oxford
14. Anker J.C. Eigenfrequencies and eigenforms of a square plate and CAD interfaces. Proceedings of 22nd CAD-FEM Users' Meeting 2004, CAD-FEM. München (2004)
15. Iguchi S. Die Biegeschwingungen der vierseitig eingespannten rechteckigen Platte. Ingenieur-Archiv 8 1 (1937) 11-25
16. Szilard R. Theories and Applications of Plate Analysis (2004), Wiley, Hoboken
17. Chung J., and Hulbert G.M. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method. J. Appl. Mech. 60 (1993) 371-375