On asymptotic expansions in plate theory-Reference-Cited by-同舟云学术

On asymptotic expansions in plate theory

Published:1964-03-24 Issue:1373 Volume:278 Page:228-233
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

An approximate method is given for solving the potential problem for a thin plate. The solution is shown to be the first term of an asymptotic expansion in powers of the plate thickness, uniformly valid throughout the plate.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1964.0056

Reference6 articles.

1. C hurchill R . V. 1941 Fourier series and boundary value problems. N ew Y o rk : M cGraw -H ill.

2. C o u ran t R . & H ilb e rt D . 1963 Methods of mathematical physics. N ew Y o rk : In terscience.

3. Commun. Pure A ppl;Math.,1961

4. Proc. Roy;Soc. A,1962

5. 6 Proc. Roy;Soc. A,1962

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