Straightening: existence, uniqueness and stability

Destrade, M., Ogden, R.W. , Sgura, I. and Vergori, L. (2014) Straightening: existence, uniqueness and stability. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 470(216), p. 20130709. (doi:10.1098/rspa.2013.0709)

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Abstract

One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed. Particular attention is paid to the system of forces required to sustain the large static deformation, including by the application of end couples. The influence of geometric parameters and constitutive models on the appearance of wrinkles on the compressed face of the block is also studied. Different numerical methods for solving the incremental stability problem are compared and it is found that the impedance matrix method, based on the resolution of a matrix Riccati differential equation, is the more precise.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond and Vergori, Dr Luigi
Authors: Destrade, M., Ogden, R.W., Sgura, I., and Vergori, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
Publisher:Royal Society
ISSN:1364-5021
ISSN (Online):1471-2946

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