Finite bending of a plate into a spherical shell

Seth, B. R. (1957) Finite bending of a plate into a spherical shell Journal of Applied Mathematics and Mechanic, 37 (9-10). pp. 393-398. ISSN 0044-2267

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/zamm.19...

Related URL: http://dx.doi.org/10.1002/zamm.19570370910

Abstract

By using the theorie of finite deformation it is shown that a circular plate of radius d can be bent into a spherical shell by forces and couples applied to the edges only, the inner surface a and the outer surface b of the shell being free from tractions. The radius of the plate is assumed to be small compared with a and b so that (d/a2) can be neglected. The particular case in which the Possion's ratio σ is equal to ⅓ has been discussed in detail. The percentage of decrease in thickness and the change in the edge-radii have been obtained.

Item Type:Article
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ID Code:70955
Deposited On:22 Nov 2011 13:12
Last Modified:22 Nov 2011 13:12

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