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

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Gommer, Frank, 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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Official URL: http://www.sciencedirect.com/science/article/pii/S1359835X15004418

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
RIS ID:	https://nottingham-repository.worktribe.com/output/770372
Keywords:	A. Yarn, A. Fabrics/textiles, C. Analytical modeling, C. Computational modelling
Schools/Departments:	University of Nottingham, UK > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Identification Number:	10.1016/j.compositesa.2015.11.031
Depositing User:	Gommer, Frank
Date Deposited:	17 Dec 2015 09:51
Last Modified:	04 May 2020 17:28
URI:	https://eprints.nottingham.ac.uk/id/eprint/31110

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