CUED Publications database

A zero-stiffness elastic shell structure

Guest, SD and Kebadze, E and Pellegrino, S (2011) A zero-stiffness elastic shell structure. Journal of Mechanics of Materials and Structures, 6. pp. 203-212. ISSN 1559-3959

Full text not available from this repository.


A remarkable shell structure is described that, due to a particular combination of geometry and initial stress, has zero stiffness for any finite deformation along a twisting path; the shell is in a neutrally stable state of equilibrium. Initially the shell is straight in a longitudinal direction, but has a constant, nonzero curvature in the transverse direction. If residual stresses are induced in the shell by, for example, plastic deformation, to leave a particular resultant bending moment, then an analytical inextensional model of the shell shows it to have no change in energy along a path of twisted configurations. Real shells become closer to the inextensional idealization as their thickness is decreased; experimental thin-shell models have confirmed the neutrally stable configurations predicted by the inextensional theory. A simple model is described that shows that the resultant bending moment that leads to zero stiffness gives the shell a hidden symmetry, which explains this remarkable property.

Item Type: Article
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:17
Last Modified: 13 Apr 2021 08:33
DOI: 10.2140/jomms.2011.6.203