Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models
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...
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| Format: | Article |
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Elsevier
2015
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| Online Access: | https://eprints.nottingham.ac.uk/31110/ |
| _version_ | 1848794129554735104 |
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| author | Gommer, Frank Brown, Louise P. Wedgwood, Kyle C.A. |
| author_facet | Gommer, Frank Brown, Louise P. Wedgwood, Kyle C.A. |
| author_sort | Gommer, Frank |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:11:17Z |
| format | Article |
| id | nottingham-31110 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:11:17Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-311102020-05-04T17:28:19Z https://eprints.nottingham.ac.uk/31110/ 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. 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. Elsevier 2015-12-02 Article PeerReviewed 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 A. Yarn A. Fabrics/textiles C. Analytical modeling C. Computational modelling http://www.sciencedirect.com/science/article/pii/S1359835X15004418 doi:10.1016/j.compositesa.2015.11.031 doi:10.1016/j.compositesa.2015.11.031 |
| spellingShingle | A. Yarn A. Fabrics/textiles C. Analytical modeling C. Computational modelling Gommer, Frank Brown, Louise P. Wedgwood, Kyle C.A. Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| title | Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| title_full | Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| title_fullStr | Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| title_full_unstemmed | Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| title_short | Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| title_sort | analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models |
| topic | A. Yarn A. Fabrics/textiles C. Analytical modeling C. Computational modelling |
| url | https://eprints.nottingham.ac.uk/31110/ https://eprints.nottingham.ac.uk/31110/ https://eprints.nottingham.ac.uk/31110/ |