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Formation and propagation of bands in jerky flow: a coupled lattice map description

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Abstract

There has been revival of interest in Jerky flow from the point of view of dynamical systems. The earliest attempt in this direction was from our group. One of the predictions of the theory is that Jerky flow could be chaotic. This has been recently verified by us. We have recently extended the earlier model to account for the spatial aspect as well. Both these models are in the form of coupled set of nonlinear differential equations and hence, they are complicated in their structure. For this reason we wish to devise a model based on the results of these two theories in the form of coupled lattice map for the description of the formation and propagation of dislocation bands. We report here one such model and its results.

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Authors and Affiliations

  1. Materials Research Centre, Indian Institute of Science, 560 012, Bangalore, India

    G Ananthakrishna

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  1. G Ananthakrishna
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Additional information

The material contained here was a part of the Plenary Lecture presented at the International Conference on Plasticity of Materials: Fundamental Aspects of Dislocation Interactions, Ascona, Switzerland, 1992.

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Ananthakrishna, G. Formation and propagation of bands in jerky flow: a coupled lattice map description. Bull. Mater. Sci. 17, 771–781 (1994). https://doi.org/10.1007/BF02757556

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