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An error bound in Reissner's theory of transversely isotropic plates

  • Zenon Rychter
Brief Reports

Summary

The report shows that Nordgren's [3] bound on the error of solutions in Reissner's theory of anisotropic plates can be improved in the case of plates with large transverse shear deformability.

Keywords

Mathematical Method Transverse Shear Isotropic Plate Anisotropic Plate Shear Deformability 
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Zusammenfassung

Diese Mitteilung beweist, daß Nordgren's [3] Fehlerabschätzung für Lösungen der Reissnerschen Theorie der anisotropen Platten für Platten mit schwacher Schiebungssteifigkeit der Querschnitte verbessert werden kann.

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References

  1. [1]
    W. Prager and J. L. Synge,Approximations in elasticity based on the concept of function space. Quart. Appl. Math.5, 241–269 (1947).Google Scholar
  2. [2]
    R. P. Nordgren,A bound on the error in plate theory. Quart. Appl. Math.28, 587–595 (1971).Google Scholar
  3. [3]
    R. P. Nordgren,A bound on the error in Reissner's theory of plates. Quart. Appl. Math.29, 551–556 (1972).Google Scholar
  4. [4]
    J. G. Simmonds,An improved estimate for the error in the classical linear theory of plate bending. Quart. Appl. Math.29, 439–447 (1971).Google Scholar
  5. [5]
    Z. Rychter,A bound on the error in the linear theory of transversely Isotropic plate bending. Acta Mech.54, 121–126 (1984).Google Scholar
  6. [6]
    V. Panc,Theories of elastic plates. Prague, Academia 1975.Google Scholar
  7. [7]
    W. T. Koiter,On the foundations of the linear theory of thin elastic shells. Proc. Kon. Ned. Ak. Wet. B73, 169–195 (1970).Google Scholar
  8. [8]
    D. A. Danielson,Improved error estimates in the linear theory of thin elastic shells. Proc. Kon. Ned. Ak. Wet. B74, 294–300 (1971).Google Scholar

Copyright information

© Birkhäuser Verlag 1986

Authors and Affiliations

  • Zenon Rychter
    • 1
  1. 1.Bialystok Technical UniversityPoland

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