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Lookup NU author(s): Emeritus Professor Terry Evans, Professor Geoff Gibson
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This paper relates to the 'netting-analysis' approach, often used in calculations of the behaviour of helically wound reinforced pressure vessels and tubes. Numerical calculation of the stress-strain relations for angle ply composite laminates often gives the impression of unexpected instability in the underlying equations. For instance, when the in-plane principal stresses are in the ratio 2:1 and the fibres are inclined at an angle close to theta approximate to +/- arctan root2, the stress-strain relations are very sensitive to the value of 0 and to the relative stiffness of the fibres and matrix. There is a simple explanation for this, which is most clearly understood by developing analytical approximations for the stress-strain relations. It is shown that the stable angle of inclination of the fibres, where no strain-induced fibre rotations occur, deviates from the so-called 'ideal' fibre angle predicted by netting analysis by an amount that depends on the matrix-to-reinforcement-stiffness ratio. When the initial angle of inclination of the fibres deviates from the stable angle, the application of strain produces fibre rotation and nonlinear stress-strain relations result. Analytical expressions for the stress-strain relations have been obtained; they show the interaction of the parameters that control the shape of the stress-strain curves.
Author(s): Evans JT; Gibson AG
Publication type: Article
Publication status: Published
Journal: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
Year: 2002
Volume: 458
Issue: 2028
Pages: 3079-3088
ISSN (print): 1364-5021
ISSN (electronic): 1471-2946
Publisher: The Royal Society Publishing
URL: http://dx.doi.org/10.1098/rspa.2002.1066
DOI: 10.1098/rspa.2002.1066
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