The Portevin-Le Chatelier effect: A description based on time delay

Citation
A. Gupta et Aj. Markworth, The Portevin-Le Chatelier effect: A description based on time delay, PHYS ST S-B, 217(2), 2000, pp. 759-768
Citations number
29
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICA STATUS SOLIDI B-BASIC RESEARCH
ISSN journal
03701972 → ACNP
Volume
217
Issue
2
Year of publication
2000
Pages
759 - 768
Database
ISI
SICI code
0370-1972(200002)217:2<759:TPCEAD>2.0.ZU;2-1
Abstract
A mathematical description of the Portevin-Le Chatelier (PLC) effect-is pre sented in the form of delay differential equations. Inclusion of a delay ti me in the dislocation evolution equations has been found to be helpful in e xplaining a number of experimentally observed results. The results of the s imulation reproduce some basic features of the PLC effect such as the strai n-rate window within which the effect occurs, increase in stress drop and p eriod of stress oscillation with change in strain rate, and the occurrence of chaotic stress oscillations under certain conditions.