|
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
Full-text PDF Free Access
References | Similar Articles | Additional Information
- R. P. Nordgren, A bound on the error in plate theory, Quart. Appl. Math. 28 (1971), 587–595. MR 280051, DOI https://doi.org/10.1090/S0033-569X-1971-0280051-4
- W. Prager and J. L. Synge, Approximations in elasticity based on the concept of function space, Quart. Appl. Math. 5 (1947), 241–269. MR 25902, DOI https://doi.org/10.1090/S0033-569X-1947-25902-8
- J. L. Synge, The hypercircle in mathematical physics: a method for the approximate solution of boundary value problems, Cambridge University Press, New York, 1957. MR 0097605 J. G. Simmonds, An improved estimate for the error in the classical linear theory of plate bending, Quart. Appl. Math, (to appear)
- Eric Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech. 12 (1945), A-69–A-77. MR 0012579 R. D. Mindlin, Influence of rotatory inertia and shape on flexural vibrations of isotropic, elastic plates, J. Appl. Mech. 18, 31–38 (1951) A. E. Green, On Reissner’s theory of bending of elastic plates, Quart. Appl. Math. 7, 223–228 (1949)
- A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.41
Retrieve articles in all journals with MSC: 73.41
Additional Information
Article copyright:
© Copyright 1972
American Mathematical Society