Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Nov 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006smpr.confe..43a&link_type=abstract
Proceedings of the International conference on Statistical Mechanics of Plasticity and Related Instabilities. August 29-Septembe
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
Describing spatio-temporal features of the Portevin-Le Chatelier effect is known to be a difficult task as they emerge due to collective behavior of dislocations. In this article, we describe a dy- namical approach to understand three aspects of the phenomenon, namely, the bistable nature of stress envelope, the negative strain rate sensitivity and visualization of dislocation configurations in different regimes of strain rate. We shall use some special dynamical techniques such as the reductive perturbative technique and slow manifold approach to understand these features. Using a reductive perturbative technique, we derive Stuart-Landau equation for the complex order pa- rameter representing the amplitude and the phase of the limit cycle solution in the neighbourhood of the Hopf bifurcation. The slow manifold technique is used to map different parts of the slow manifold with the different branches of the negative SRS. More importantly, the method allows us to visualize the dislocation configurations in the regions of the bands.
No associations
LandOfFree
Bistability, negative strain rate sensitivity and visualization of dislocation configurations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bistability, negative strain rate sensitivity and visualization of dislocation configurations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bistability, negative strain rate sensitivity and visualization of dislocation configurations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1346142