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Finite Element Models Based on the Method of Weighted Residuals

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Computational Mechanics ’86

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Abstract

The most general equation of weighted residuals for finite element method is presented and based on this the compatibility, equilibrium and mixed/hybrid models of finite element method are deduced. It is pointed out that with the weight functions being appropriately chosen these models will reduce to the wellknown ones which are based on the variational principles. The problem about the conditions of continuity of some variables acrossing the interface of elements and some other substantial problems in current finite element method are discussed. The possibility of more widespread application of the method of weighted residuals to practice is revealed.

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References

  1. Yang, H. Y. and Zhao, Z. G., The mixed method of line-location with its applications in elasticity, Int. J. Computers and Structures, Vol.21, No,4, 1985.

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  2. Zienkiewicz, O. C., The finite element method in engineering science, 2nd ed., McGraw-Hill, London, 1971.

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Author information

Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, China

    H. Y. Yang, Z. G. Zhao & L. J. Ni

Authors
  1. H. Y. Yang
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  2. Z. G. Zhao
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  3. L. J. Ni
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Yang, H.Y., Zhao, Z.G., Ni, L.J. (1986). Finite Element Models Based on the Method of Weighted Residuals. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_25

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_25

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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