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

Gommer, Frank; Brown, Louise P.; Wedgwood, Kyle C.A.

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.

Citation

Gommer, F., Brown, L. P., & Wedgwood, K. C. (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, https://doi.org/10.1016/j.compositesa.2015.11.031

• Journal Article Type: Article
• Publication Date: Dec 2, 2015
• Deposit Date: Dec 17, 2015
• Publicly Available Date: Dec 17, 2015
• Journal: Composites Part A: Applied Science and Manufacturing
• Print ISSN: 1359-835X
• Electronic ISSN: 1359-835X
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 81
• DOI: https://doi.org/10.1016/j.compositesa.2015.11.031
• Keywords: A. Yarn, A. Fabrics/textiles, C. Analytical modeling, C. Computational modelling
• Public URL: https://nottingham-repository.worktribe.com/output/770372
• Publisher URL: http://www.sciencedirect.com/science/article/pii/S1359835X15004418