This site uses cookies. By continuing to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy. Close this notification

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

and

2002 EDP Sciences
, , Citation M. S. Bharathi and G. Ananthakrishna 2002 EPL 60 234 DOI 10.1209/epl/i2002-00391-2

This article is corrected by 2003 EPL 61 430

0295-5075/60/2/234

Abstract

Recent studies on the Portevin-Le Chatelier effect report an intriguing crossover phenomenon from a low-dimensional chaotic to an infinite-dimensional scale-invariant power law regime in experiments on CuAl single crystals and AlMg polycrystals, as a function of strain rate. We devise a 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.

Export citation and abstract BibTeX RIS

Access this article

The computer you are using is not registered by an institution with a subscription to this article. Please choose one of the options below.

Login

IOPscience login

Find out more about journal subscriptions at your site.

Purchase from

Article Galaxy
CCC RightFind

Purchase this article from our trusted document delivery partners.

Make a recommendation

To gain access to this content, please complete the Recommendation Form and we will follow up with your librarian or Institution on your behalf.

For corporate researchers we can also follow up directly with your R&D manager, or the information management contact at your company. Institutional subscribers have access to the current volume, plus a 10-year back file (where available).

10.1209/epl/i2002-00391-2