Frank Gommer
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 | 1878-5840 |
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 |
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
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