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The Compression of Yielding Loops

Published online by Cambridge University Press:  09 April 2009

I. M. Stuart  and
R. K. Mann
I. M. Stuart
Affiliation:
Division of Textile Physics CSIRO Wool Research LaboratoriesRyde, Sydney, Australia
R. K. Mann
Affiliation:
Gordon Institute of TechnologyFenwick St., Geelong, Australia
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In studying the compression of loops of fabric between flat parallel plates, the problem arises of the compression of bends. A ‘bend’ is illustrated in Figs. 1 and 2. Two bends are joined to form a loop. The material is postulated to yield in bending such that the bending moment where B is a bending rigidity, KI the current impressed curvature, and KR the ‘remanent’ curvature. This remanent curvature is the free, or natural curvature in the material caused by its past and present deformation. We study the case when the remanent curvature that is, the remanent curvature is proportional to the greatest previously impressed curvature. We call equations (1) and (2) the ‘Remanent Curvature Hypothesis’.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 315 - 330
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Stuart, I. M., Hetherington, P. & Baird, K., ‘An Investigation of cloth bending Part I. Compression of looped fabrics’, Textile Res. J. 36 (1966), 803–808.Google Scholar
[2]Bostwick, C. O., ‘Analysing the wrinkling of textile materials by a new technique’, Svenska Textil forskningsinstitute Report No. 3, Gothenburg, 1961.Google Scholar
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[6]Stuart, I. M. & Mann, R. K., ‘An Investigation of cloth bending Part II. The remanent curvature hypothesis’, Text. Res. J. 37 (1967), 613–618.Google Scholar