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On the neutral stability curve for shallow conical shells subjected to lateral pressure


Coman, CD and Bassom, AP, On the neutral stability curve for shallow conical shells subjected to lateral pressure, Mathematics and Mechanics of Solids, 23, (5) pp. 727-747. ISSN 1081-2865 (2018) [Refereed Article]

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Copyright 2016 The Authors

DOI: doi:10.1177/1081286516689297


This work presents a detailed asymptotic description of the neutral stability envelope for the linear bifurcations of a shallow conical shell subjected to lateral pressure. The eighth-order boundary-eigenvalue problem investigated originates in the Donnell shallow-shell theory coupled with a linear membrane pre-bifurcation state, and leads to a neutral stability curve that exhibits two distinct growth rates. By using singular perturbation methods we propose accurate approximations for both regimes and explore a number of other novel features of this problem. Our theoretical results are compared with several direct numerical simulations that shed further light on the problem.

Item Details

Item Type:Refereed Article
Keywords:conical shells, elastic instabilities, shallow shell equations, asymptotic methods
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:125666
Year Published:2018
Deposited By:Mathematics and Physics
Deposited On:2018-04-28
Last Modified:2019-02-27

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