The transverse compression of anisotropic fibre monofilaments
- 20 April 1965
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 285 (1401), 275-286
- https://doi.org/10.1098/rspa.1965.0103
Abstract
A synthetic fibre monofilament was compressed between transparent fiats mounted on a microscope stage, and an image of the contact area thrown onto a screen. The contact area was determined as a function of load for polyethylene terephthalate, polypropylene and nylon monofilaments. These monofilaments can be regarded as transversely isotropic elastic cylinders and show considerable anisotropy, the extensional modulus being at least six times the transverse modulus. A theoretical solution was therefore derived for the contact area of a cylinder compressed between two rigid planes when the cylinder is a transversely isotropic elastic body. The solution is given in terms of the elastic constants, the radius of the cylinder and the applied load and was found to hold experimentally. The theory was used together with measurements of Poisson’s ratio and extensional modulus to derive the transverse modulus of the filaments from the compression experiments. In polyethylene terephthalate and polypropylene the calculated moduli are in reasonable agreement with those obtained directly from uniaxially oriented films.Keywords
This publication has 6 references indexed in Scilit:
- Dynamic Mechanical Measurements on Polyethylene TerephthalateProceedings of the Physical Society, 1963
- A Coefficient of Friction which increases with Increasing Load. Results with Undrawn Nylon Monofilaments, and a Theoretical ExplanationProceedings of the Physical Society, 1962
- Mechanical Properties of Textile FibersJournal of the Textile Machinary Society, 1962
- A Method of Measuring Poisson's Ratio of Fibers1Textile Research Journal, 1958
- XLI. Stresses in elastic cylinders in contact along a generatrix (including the effect of tangential friction)Journal of Computers in Education, 1949
- A Theoretical Discussion of Pitting Failures in GearsProceedings of the Institution of Mechanical Engineers, 1948