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Elasto-plastic localised responses in one-dimensional structural models
Citation
Coman, CD and Bassom, AP and Wadee, MK, Elasto-plastic localised responses in one-dimensional structural models, Journal of Engineering Mathematics, 47, (2) pp. 83-100. ISSN 0022-0833 (2003) [Refereed Article]
Copyright Statement
Copyright 2003 Kluwer Academic Publishers
DOI: doi:10.1023/A:1025856602682
Abstract
This work complements recent developments concerning the buckling of beams lying on a nonlinear (non-convex) elastic foundation, and also reports on some investigations on the role of material nonlinearity. Two structural models are studied using a simple elasto-plastic constitutive relationship, and buckling problems are formulated as reversible fourth-order differential equations. It is demonstrated that modulated responses are possible under certain circumstances. Some numerical simulations are presented supporting the analytical findings.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Asymptotics; Homoclinics; Inelastic buckling; Non-convex energies |
| Research Division: | Mathematical Sciences |
| Research Group: | Applied Mathematics |
| Research Field: | Theoretical and Applied Mechanics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Mathematical Sciences |
| Author: | Bassom, AP (Professor Andrew Bassom) |
| ID Code: | 107360 |
| Year Published: | 2003 |
| Web of Science® Times Cited: | 5 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2016-03-11 |
| Last Modified: | 2016-12-06 |
| Downloads: | 0 |
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