Kirkinis, E., Ogden, R.W. and Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material. Zeitschrift für Angewandte Mathematik und Physik, 55(1), pp. 136-158. (doi: 10.1007/s00033-003-3048-x)
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Abstract
In this article we obtain closed-form solutions for the combined inflation and axial shear of an elastic tube in respect of the compressible isotropic elastic material introduced by Levinson and Burgess. Several other boundary-value problems are also examined, including the bending of a rectangular block and straightening of a cylindrical sector, both coupled with stretching and shearing, and an axially varying twist deformation. Some of the solutions appear in closed form, others are expressible in terms of elliptic functions.
| Item Type: | Articles |
|---|---|
| Keywords: | Nonlinear elasticity, compressible elasticity, finite deformations |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Haughton, Dr David and Ogden, Professor Raymond |
| Authors: | Kirkinis, E., Ogden, R.W., and Haughton, D.M. |
| Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Zeitschrift für Angewandte Mathematik und Physik |
| Journal Abbr.: | Z. Angew. Math. Phys. |
| Publisher: | Birkhauser Verlag |
| ISSN: | 0044-2275 |
| ISSN (Online): | 1420-9039 |
| Published Online: | 19 February 2004 |
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