Scardia, L. (2009) Asymptotic models for curved rods derived from nonlinear elasticity by Gamma-convergence. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 139(5), pp. 1037-1070. (doi: 10.1017/S0308210507000194)
Full text not currently available from Enlighten.
Abstract
We study the problem of the rigorous derivation of one-dimensional models for a thin curved beam starting from three-dimensional nonlinear elasticity. We describe the limiting models obtained for different scalings of the energy. In particular, we prove that the limit functional corresponding to higher scalings coincides with the one derived by dimension reduction starting from linearized elasticity.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Scardia, Dr Lucia |
| Authors: | Scardia, L. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| Publisher: | Cambridge University Press on behalf of the Royal Society of Edinburgh |
| ISSN: | 0308-2105 |
| Published Online: | 21 September 2009 |
| Copyright Holders: | Copyright © 2009 Royal Society of Edinburgh |
| First Published: | First published in Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139(5):1037-1070 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details