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Overview of Hybrid Finite Element Methods for Solid Mechanics

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Computational Mechanics ’88

Summary

The term “Hybrid Finite Element” is redefined to cover all elements that are derived by multi-field variational principles but the nodal values of only one field are left as unknowns in the matrix equation. Some recent trends in the development of hybrid finite elements are discussed.

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References

  1. T.H.H. Pian, “A Historical Note About ‘Hybrid Elements’”, Int.J. Num, Meth. Engng., 12, 891–892, 1978.

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  2. T.H.H. Pian, “An Overview of Finite Element Formulations by Generalized Variational Principles” in Recent Trends in Aeroelasticity, Structures and Structural Dynamics, Ed by P. Hajela, University Press of Florida, 222–235, 1987.

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  3. J. Jirousek and P. Teodorescu, “Large Finite Elements Method for the Solutions of Problems in the Theory of Elasticity”, Computers and Structures, 15, 575–587, 1982.

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  4. T.H.H. Pian and C-C Wu, “A New Approach for Choosing Stress Terms for Hybrid Finite Element Formulation”, Proc. ICES’88, Atlanta, 1988.

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  5. C. Wang and T.H.H. Pian, “Hybrid SemiLoof Element for Buckling of Thin-Walled Structures”, Proc ICCEM’87, Beijing, 1987.

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Author information

Authors and Affiliations

  1. Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Theodore H. H. Pian

Authors
  1. Theodore H. H. Pian
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Editor information

Editors and Affiliations

  1. Center for the Advancement of Computational Mechanics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    S. N. Atluri

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

    G. Yagawa

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© 1988 Springer-Verlag Berlin Heidelberg

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Pian, T.H.H. (1988). Overview of Hybrid Finite Element Methods for Solid Mechanics. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_273

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  • DOI: https://doi.org/10.1007/978-3-642-61381-4_273

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64818-2

  • Online ISBN: 978-3-642-61381-4

  • eBook Packages: Springer Book Archive

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