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Chaotic and power law states in the Portevin-Le Chatelier effect

Bharathi, MS and Ananthakrishna, G (2002) Chaotic and power law states in the Portevin-Le Chatelier effect. In: EPL: Europhysics Letters, 60 (2). pp. 234-240.

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Official URL: http://iopscience.iop.org/0295-5075/60/2/234

Abstract

Recent studies on the Portevin-Le Chatelier effect report an intriguing crossover phenomenon from low-dimensional chaotic to an infinite-dimensional scale-invariant power law regime in experiments on CuAl single crystals and AlMg polycrystals, as function of strain rate. We devise fully dynamical model which reproduces these results. At low and medium strain rates, the model is chaotic with the structure of the attractor resembling the reconstructed experimental attractor. At high strain rates, power law statistics for the magnitudes and durations of the stress drops emerge as in experiments and concomitantly, the largest Lyapunov exponent is zero.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to EDP Sciences.
Department/Centre: Division of Chemical Sciences > Materials Research Centre
Others
Date Deposited: 22 Jul 2011 10:33
Last Modified: 22 Jul 2011 10:33
URI: http://eprints.iisc.ernet.in/id/eprint/39029

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