Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models

Gommer, Frank and Brown, Louise P. and Wedgwood, Kyle C.A. (2015) Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models. Composites Part A: Applied Science and Manufacturing, 81 . pp. 222-224. ISSN 1359-835X

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Abstract

Textile models are often assumed to have homogenous and well defined cross-sections. For these models, the use of a power elliptical cross-sectional shape has been found to be beneficial as different shapes can be created, e.g. lenticular, elliptical or rectangular, with a single function. The cross-sectional area of a power ellipse is usually determined numerically as the analytical determination of the cross-sectional area is not straightforward. This short communication presents an analytical solution for this shape.

Item Type: Article
Keywords: A. Yarn, A. Fabrics/textiles, C. Analytical modeling, C. Computational modelling
Schools/Departments: University of Nottingham UK Campus > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Identification Number: https://doi.org/10.1016/j.compositesa.2015.11.031
Depositing User: Gommer, Frank
Date Deposited: 17 Dec 2015 09:51
Last Modified: 13 Sep 2016 14:47
URI: http://eprints.nottingham.ac.uk/id/eprint/31110

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