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

## Abstract

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 |
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Subjects: | UNSPECIFIED |

Divisions: | Div D > Structures |

Depositing User: | Cron Job |

Date Deposited: | 02 Sep 2016 16:35 |

Last Modified: | 26 Sep 2016 08:38 |

DOI: |