Skip to main content

Some Results in the Analysis of Thin Shell Structures

  • Conference paper
Nonlinear Finite Element Analysis in Structural Mechanics

Abstract

This paper represents a progress report of some of the research that we are conducting in the finite element analysis of thin shell structures. We consider our isoparametric displacement-rotation thin shell element and our discrete-Kirchhoff-theory (DKT) plate/shell element, which we are continuously refining for accurate and effective geometric and materially nonlinear analysis. In the paper we briefly discuss the locking phenomenon of the isoparametric element, the use of this element as a transition element between shell surfaces and in shell-solid transitions, and we give some results using the DKT element.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zienkiewicz, O.C., The Finite Element Method McGraw-Hill, 1977.

    Google Scholar 

  2. Bathe, K.J., Finite Element Procedures in Enqineerina_ Analysis Prenctice-Hall, Inc. in press.

    Google Scholar 

  3. Bathe, K.J., and Bolourchi, S., “A Geometric and Material Nonlinear Plate and Shell Element,” J. Computers and Structures, Vol. 11, pp. 23–48.

    Google Scholar 

  4. Batoz, J.L., Bathe, K.J., and Ho, L.W., “A Search for the Optimum Three-node Triangular Plate Bending Element,” Acoustics and Vibration Lab., Report 82448–8, Dept. of Mech. Eng., M.I.T., Dec. 1978, 1980.

    Google Scholar 

  5. Batoz, J.L., Bathe, K.J., and Ho, L.W., “A Study of Three-Node Triangular Plate Bending Elements,” Int. J. Num. Meth. in Eng., in press.

    Google Scholar 

  6. Ahmad, S., Irons, B.M., and Zienkiewicz, O.C., “Analysis of Thick and Thin Shell Structures by Curved Elements,” Int. J. Num. Meth. in Eng., Vol. 2, pp. 419–451, 1970.

    Google Scholar 

  7. Ramm, E., “A Plate/Shell Element for Large Deflections and Rotations,” in Formulations and Computational Algorithms in Finite Element Analysis Bathe, K.J., Oden, J.T., and Wunderlich, W., (eds.), M.I.T. Press, 1977.

    Google Scholar 

  8. Krâkeland, B., “Large Displacement Analysis of Shells Considering Elastic-Plastic and Elasto-Viscoplastic Materials,” Report No. 776, The Norwegian Institute of Technology, The University of Trondheim, Norway, Dec. 1977.

    Google Scholar 

  9. Hughes, T.J.R., Taylor, R.L., and Kanoknukulchai, W., “A Simple and Efficient Finite Element for Plate Bending,” Int. J. Num. Meth. in Eng., Vol. 11, 1977, pp. 1529–1543.

    Article  MATH  Google Scholar 

  10. Zienkiewicz, O.C., Bauer, J., Morgan, K., and Onate, E., “A Simple and Efficient Element for Axisymmetric Shells,” Int. J. Num. Meth. in Eng., Vol. 11, 1977, pp. 1545–1558.

    Article  MATH  Google Scholar 

  11. Lee, S.W., and Pian, T.H.H., “Improvement of Plate and Shell Finite Elements by Mixed Formulations,” AIAA J., Vol. 16, Jan. 1978, pp. 29–34.

    Article  ADS  MATH  Google Scholar 

  12. Malkus, D.S., and Hughes, T.J.R.,“Mixed Finite Element Methods-Reduced and Selective Integration Techniques: A Unification of Concepts,” Computer Methods in Appl. Mech. and Eng., Vol. 15, 1978, pp. 63–81.

    MATH  Google Scholar 

  13. Pugh, E.D., Hinton, E., and Zienkiewicz, O.C., “A Study of Quadrilateral Plate Bending Elements with Reduced Integration,” Int. J. Num. Meth. in Eng., Vol. 12, 1978, pp. 1059–1078.

    Article  MATH  Google Scholar 

  14. Bathe, K.J., “ADINA - A Finite Element Program for Automatic Dynamic Incremental Nonlinear Analysis,” Report AVL 82448–1, Mech. Eng. Dept., M.I.T., Sept. 1975 (rev. Dec. 1978 ).

    Google Scholar 

  15. Clough, R.W., and Wilson, E.L., “Dynamic Finite Element Analysis of Arbitrary Thin Shells,” J. Computers and Structures, Vol. 1, pp. 33–56, 1971.

    Article  Google Scholar 

  16. Bathe, K.J., and Ho, L.W. “A Simple and Effective Element for Analysis of General Shell Structures,” paper to be presented at the ADINA Conference, June 1981, M.I.T.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bathe, KJ., Ho, L.W. (1981). Some Results in the Analysis of Thin Shell Structures. In: Wunderlich, W., Stein, E., Bathe, KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81589-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-81589-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81591-1

  • Online ISBN: 978-3-642-81589-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics