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Online ISSN 1552-4485; Print ISSN 0033-569X
A bound on the error in plate theory
Author:
R. P. Nordgren
Journal:
Quart. Appl. Math. 28 (1971), 587-595
MSC:
Primary 73.35
DOI:
https://doi.org/10.1090/qam/280051
MathSciNet review:
280051
Full-text PDF Free Access
References | Similar Articles | Additional Information
- A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851 J. N. Goodier, On the problems of the beam and the plate in the theory of elasticity, Trans. Roy. Soc. Canada (3) 32, 65–88 (1938)
- E. Reissner, On the derivation of boundary conditions for plate theory, Proc. Roy. Soc. London Ser. A 276 (1963), 178–186. MR 158590, DOI https://doi.org/10.1098/rspa.1963.0201
- Dietrich Morgenstern, Herleitung der Plattentheorie aus der dreidimensionalen Elastizitätstheorie, Arch. Rational Mech. Anal. 4 (1959), 145–152 (1959) (German). MR 111252, DOI https://doi.org/10.1007/BF00281383 I. Babuška and M. Prager, Reissnerian algorithms in the theory of elasticity, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 8, 411–417 (1960)
- 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
- Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
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Article copyright:
© Copyright 1971
American Mathematical Society