Open Access

ARTICLE

A Dynamical Approach to the Spatio-temporal Features of the Portevin-Le Chatelier Effect

G.Ananthakrishna¹

1 Materials Research Centre and Centre for Condensed Matter Theory, Indian Institute of Science, Bangalore-560012, India

Computer Modeling in Engineering & Sciences 2005, 7(3), 233-240. https://doi.org/10.3970/cmes.2005.007.233

Abstract

We show that the extended Ananthakrishna's model exhibits all the features of the Portevin - Le Chatelier effect including the three types of bands. The model reproduces the recently observed crossover from a low dimensional chaotic state at low and medium strain rates to a high dimensional power law state of stress drops at high strain rates. The dynamics of crossover is elucidated through a study of the Lyapunov spectrum.

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Keywords

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