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.
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Coman, C.D., Bassom, A.P. & Wadee, M.K. Elasto-plastic localised responses in one-dimensional structural models. Journal of Engineering Mathematics 47, 83–100 (2003). https://doi.org/10.1023/A:1025856602682
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DOI: https://doi.org/10.1023/A:1025856602682