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On the Use of Certain Properties of Stiffness Matrices in Finite Element Methods

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Book cover Numerical Methods of Approximation Theory, Vol. 7 / Numerische Methoden der Approximationstheorie, Band 7

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Abstract

The stiffness matrices encountered in the analysis of elastic systems using finite element methods possess certain properties the use of which in the solution procedures reduces the computer time and increases the accuracy of the results. The presentation places emphasis on the application of the theory to skeletal systems using one dimensional elements. Reference, however, has been made to two and three dimensional finite elements.

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References

  1. Hughes, Thomas J.R., Itzhak Levit, and James Winger: An Element-by-Element Solution Algorithm for Problems of Structural and Solid Mechanics. Computer Methods in Applied Mechanics and Engineering 36 (1983), 241–254.

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  2. Kardestuncer, H.: Tensors versus Matrices in Discrete Mechanics. In: Problem Analysis in Science and Engineering, F. H. Branin, Jr. and K. Huseyin (eds.). New York: Academic Press 1977.

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  3. Kardestuncer, H.: Equivalent Stiffness-Flexibility Matrices of Closed-Loops Subject to Temperature Variation. Proceedings of VI IKM, Weimar, 1972.

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  4. Kardestuncer, H.: Elementary Matrix Analysis of Structures. New York: McGraw-Hill Book Company 1974.

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  5. Kardestuncer, H.: Finite Elements via Tensors. Vienna and New York: Springer Verlag CISM Series 1092.

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  6. Kardestuncer, H.: On the Generalization of Equicofactor Matrices. International Journal for Numerical Methods in Engineering 7 (1973), 491–496.

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Author information

Authors and Affiliations

  1. University of Connecticut, U-37, Storrs, CT, 06268, USA

    H. Kardestuncer

Authors
  1. H. Kardestuncer
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Editor information

Editors and Affiliations

  1. Hamburg, Germany

    L. Collatz

  2. Mannheim, Germany

    G. Meinardus

  3. Bonn, Germany

    H. Werner

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© 1983 Springer Basel AG

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Kardestuncer, H. (1983). On the Use of Certain Properties of Stiffness Matrices in Finite Element Methods. In: Collatz, L., Meinardus, G., Werner, H. (eds) Numerical Methods of Approximation Theory, Vol. 7 / Numerische Methoden der Approximationstheorie, Band 7. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse numérique, vol 67. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6743-6_11

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  • DOI: https://doi.org/10.1007/978-3-0348-6743-6_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6744-3

  • Online ISBN: 978-3-0348-6743-6

  • eBook Packages: Springer Book Archive

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