Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A bound on the error in Reissner's theory of plates

Author: R. P. Nordgren
Journal: Quart. Appl. Math. 29 (1972), 551-556
MSC: Primary 73.41
DOI: https://doi.org/10.1090/qam/400860
MathSciNet review: 400860
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  • [1] R. P. Nordgren, A bound on the error in plate theory, Quart. Appl. Math. 28, 587-595 (1971) MR 0280051
  • [2] W. Prager and J. L. Synge, Approximations in elasticity based on the concept of function space, Quart. Appl. Math. 5, 241-269 (1947) MR 0025902
  • [3] J. L. Synge, The hypercircle in mathematical physics: A method for the approximate solution of boundary value problems, University Press, New York, 1957 MR 0097605
  • [4] J. G. Simmonds, An improved estimate for the error in the classical linear theory of plate bending, Quart. Appl. Math, (to appear)
  • [5] E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech. 12, A-69-A-77 (1945) MR 0012579
  • [6] R. D. Mindlin, Influence of rotatory inertia and shape on flexural vibrations of isotropic, elastic plates, J. Appl. Mech. 18, 31-38 (1951)
  • [7] A. E. Green, On Reissner's theory of bending of elastic plates, Quart. Appl. Math. 7, 223-228 (1949)
  • [8] A. E. H. Love, A treatise on the mathematical theory of elasticity, 4th ed., Dover, New York, 1944 MR 0010851

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DOI: https://doi.org/10.1090/qam/400860
Article copyright: © Copyright 1972 American Mathematical Society

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