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Elasto-plastic localised responses in one-dimensional structural models


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


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
UTAS 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

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