Boundary-layer equations in the linear theory of thin elastic shells-Reference-Cited by-同舟云学术

Boundary-layer equations in the linear theory of thin elastic shells

Published:1962-10-09 Issue:1339 Volume:269 Page:481-491
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

Starting with the three-dimensional equations of classical isotropic elasticity, equations are obtained for boundary-layer effects near any smooth edge of an elastic shell. Solutions of these equations are combined with solutions of the equations of the 'interior’ problem so that any specified edge conditions in terms of stresses can be satisfied. The usual Kirchhoff stress boundary conditions for the major terms of the interior stresses are deduced from the analysis.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1962.0191

Reference5 articles.

1. E isenhart L. P . 1947

2. Green A. E . 1962 Proc. Roy. A n introduction to differential geometry. Princeton U niversity Press. Soc.A 266 143.

3. Green A. E. & Zerna W. 1954 Theoretical elasticity. Oxford U niversity Press.

4. Reiss E . L. 1960a Commun. Pure A ppl.M ath. 13 531.

5. Reiss E. L. 19606 New Y ork U niversity R eport IM N -N Y U 274. Also 1962 Quart. J . Mech. 15 325. 32 Vol. 269. A.

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