Skip to main content
SpringerLink
Log in

Are There any New Elements?

  • Chapter
The finite element method in the 1990’s

Summary

Shape functions for commonly used plane and three-dimensional finite elements were established about 20 years ago. Over this time, substantial advances have been made in the design of computer algebra packages so that new elements can in principle be formulated quite quickly. In this paper some new elements are discussed. Attention is also given to the question of how good a particular element is.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. 3rd Edition, McGraw-Hill, London, 1977.

    MATH  Google Scholar 

  2. ZIENKIEWICZ, O.C. and TAYLOR, R.L. — The Finite Element Method. 4th Edition, McGraw-Hill, London, 1989.

    Google Scholar 

  3. IRONS, B.M. and AHMAD, S. — Techniques of Finite Elements. Ellis Horwood, Chichester, 1980.

    Google Scholar 

  4. GUPTA, K.K. — Finite Dynamic Element Formulation for a Plane Triangular Element, Int. J. Num. Meth. Eng, 14, 1431–1448 (1979).

    Article  MATH  Google Scholar 

  5. KIDGER, D.J. — The Fourteen Node Brick Element, Melosh Medal Competition (see also Finite Elements in Analysis and Design) (1990).

    Google Scholar 

  6. SMITH, I.M. and GRIFFITHS, D.V. — Programming the Finite Element Method. 2nd Edition, John Wiley, Chichester, 1988.

    MATH  Google Scholar 

  7. SMITH, I.M. and KIDGER, D.J. — Elastoplastic Analysis Using the 14-Node Brick Element Family, Submitted for publication (1991).

    Google Scholar 

  8. HACKER, W.L. and SCHREYER, H.L. — Eigenvalue Analysis of Compatible and Incompatible Rectangular Four-Node Quadrilateral Elements, Int. J. Num. Meth. Eng, 28, 687–704 (1989).

    Article  MATH  Google Scholar 

  9. KIDGER, D.J. and SMITH, I.M. — Eigenvalues and Eigenmodes of 8-node Brick Elements, Comm. App. Num. Meth. To appear (1991).

    Google Scholar 

  10. MOLENKAMP, F., KIDGER, D.J. and SMITH, I.M. — Accuracy of Four-Node Standard Finite Element, Int. J. Num. Analytical Meth. Geomech, To appear, (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Engineering Department, University of Manchester, Manchester, M13 9PL, UK

    I. M. Smith

Authors
  1. I. M. Smith
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

E. Oñate J. Periaux A. Samuelsson

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Smith, I.M. (1991). Are There any New Elements?. In: Oñate, E., Periaux, J., Samuelsson, A. (eds) The finite element method in the 1990’s. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10326-5_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-10326-5_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-10328-9

  • Online ISBN: 978-3-662-10326-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation