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On the equivalence of non-conforming element and hybrid stress element

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Abstract

This paper is intended to show that the non-conforming element by Wilson[3] et al. and the hybrid stress element by Pian[2] are equivalent.

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References

  1. Turner, M. J., R. J. Clough, H. C. Martin, Jr. and L. J. Topp, J. Aero. Sci., 23 (1956) 805–823.

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  2. Pian, T. H. H., AIAA Journal, 2, (1964) 1333–1336.

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  3. Wilson, E. L., R. L. Taylor, W. Doherty and J. Ghaboussi, in “Numerical and Computer Methods in Structural Mechanics,” Edited by S. J. Fenves et al. Academic Press, (1973) 43–57.

  4. Fröier, M., L. Nilsson and A. Samuelsson, Int. J. Num. Math. Engng. 8, (1974) 433–437.

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  5. Pian, T. H. H. and D. P. Chen, “Alternative Ways for Formulation of Hybrid Stress Elements” (to be published in Int. J. Num. Math. Engng.).

  6. Fraeijs de Veubeke, B. M., in “Stress Analysis”, Edited by O. C. Zienkiewicz and G. S. Hollister, Wiley, (1965), 145–197.

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Authors and Affiliations

  1. Massachusetts Institute of Technology, Cambridge, Mass., U.S.A.

    Theodore Hsueh-Huang Pian

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  1. Theodore Hsueh-Huang Pian
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Pian, T.HH. On the equivalence of non-conforming element and hybrid stress element. Appl Math Mech 3, 773–776 (1982). https://doi.org/10.1007/BF01895331

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  • DOI: https://doi.org/10.1007/BF01895331

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