Haughton, D.M. and Chen, Y.C. (2003) Asymptotic bifurcation results for the eversion of elastic shells. Zeitschrift für Angewandte Mathematik und Physik, 54(2), pp. 191-211. (doi: 10.1007/s000330300000)
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Publisher's URL: http://dx.doi.org/10.1007/s000330300000
Abstract
We apply the WKB method to the bifurcation analysis of everted cylindrical and spherical shells composed of Varga material. Both compressible and incompressible cases are considered. The method is degenerate but we obtain explicit bifurcation criteria and compare with previous numerical approximations. Different strategies are compared.
| Item Type: | Articles |
|---|---|
| Keywords: | WKB, asymptotic, bifurcation, elastic, eversion, shells |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Haughton, Dr David |
| Authors: | Haughton, D.M., and Chen, Y.C. |
| Subjects: | Q Science > QA Mathematics |
| 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. Mech. |
| Publisher: | Birkhauser Verlag |
| ISSN: | 0044-2275 |
| ISSN (Online): | 1420-9039 |
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