Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-23T04:49:20.622Z Has data issue: false hasContentIssue false
  • English
  • Français

Symmetrically loaded shallow shells of revolution

Published online by Cambridge University Press:  26 February 2010

R. H. Dawoud
R. H. Dawoud
Affiliation:
Faculty of Engineering, Cairo University, Giza, Egypt.
Get access

Extract

The membrane theory for calculating stresses in symmetrically loaded elastic shells of revolution was introduced in 1828 by Lamé and Clapeyron [1] who assumed that a thin shell is incapable of resisting bending. In 1892 Love [2] gave the general equations of equilibrium for an element of an elastic shell taking bending into consideration and obtained expressions for the strains in terms of the displacements as well as the stress-strain relations. Since then the problem of the elastic shell has been the subject of numerous researches. The spherical shell has, however, drawn the attention of many investigators due to its importance in structural and mechanical engineering, e.g. roof and boiler constructions.

Type
Research Article
Information
Mathematika , Volume 7 , Issue 1 , June 1960 , pp. 23 - 35
Copyright
Copyright © University College London 1960

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Lamé, and Clapeyron, , Memoire pres par div. savants 4 (Paris, 1828), 465.Google Scholar
2.Love, A. E. H., Mathematical theory of elasticity (Cambridge, 1927).Google Scholar
3.Beissner, H., Müller Breslau Festschrift (1912), 181.Google Scholar
4.Blumenthal, O., Proc. 5th Int. Congress of Mathematicians, 2, (Cambridge, 1912), 319.Google Scholar
5.Meissner, E., Physikalische Zeitschrift, 14 (1913), 343.Google Scholar
6.Bolle, L., Diss. Tech. Hochsch. (Zurich, 1915).Google Scholar
7.Pasternak, P., Z. Angew. Math, und Mech., 6 (1926), 1.CrossRefGoogle Scholar
8.Geckler, J. W., Mitteilungen über Forschungsarbeiten auf dem Gebiete des Ingenieurwesens, 276 (Berlin, 1926).Google Scholar
9.Hétenyi, M., Publications of Int. Assoc. for Bridges and Structural Engineering, 5 (1938), 173.Google Scholar
10.Reissner, E., Jour. Math. Phys., 25, 1 (1946), 80.CrossRefGoogle Scholar
11.Reissner, E., J. Math. Phys., 25, 4 (1947), 279.CrossRefGoogle Scholar
12.Reissner, E., J. Math. Mech., 7, 2 (1958), 121.Google Scholar
13.Reismann, H., J. App. Mech., 19 (1952), 167.CrossRefGoogle Scholar
14.Savidge, H. G., Rep. Brit. Assoc. Advancement of Science (1916), 108.Google Scholar