An asymptotic analysis of the flexure problem for thin tubes

Authors
Morassi, A
Citation
A. Morassi, An asymptotic analysis of the flexure problem for thin tubes, MATH MECH S, 4(3), 1999, pp. 357-390
Citations number
6
Categorie Soggetti
Mechanical Engineering
Journal title
MATHEMATICS AND MECHANICS OF SOLIDS
ISSN journal
10812865 → ACNP
Volume
4
Issue
3
Year of publication
1999
Pages
357 - 390
Database
ISI
SICI code
1081-2865(199909)4:3<357:AAAOTF>2.0.ZU;2-3
Abstract
In this paper, the author studies the Saint-Venant flexure problem for holl ow, homogeneous, isotropic cylinders with a thin multiconnected cross secti on. By using the framework of the Gamma-convergence of functionals, the cla ssical theory of Jouravski is shown to be the variational limit of the flex ure problem when the thickness of the wall goes to zero.