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Overview of Hybrid Finite Element Methods for Solid Mechanics

  • Theodore H. H. Pian
Conference paper

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. 1.
    T.H.H. Pian, “A Historical Note About ‘Hybrid Elements’”, Int.J. Num, Meth. Engng., 12, 891–892, 1978.CrossRefGoogle Scholar
  2. 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.Google Scholar
  3. 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.MathSciNetCrossRefMATHGoogle Scholar
  4. 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.Google Scholar
  5. 5.
    C. Wang and T.H.H. Pian, “Hybrid SemiLoof Element for Buckling of Thin-Walled Structures”, Proc ICCEM’87, Beijing, 1987.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Theodore H. H. Pian
    • 1
  1. 1.Department of Aeronautics and AstronauticsMassachusetts Institute of TechnologyCambridgeUSA

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