Scaling Behavior of Portevin-Le Chatelier Effect

TL;DR

This study investigates the scaling behavior of the Portevin-Le Chatelier effect in different alloys using advanced time series analysis, revealing Levy walk scaling across various strain rates.

Contribution

It demonstrates that the PLC effect exhibits Levy walk type scaling behavior, identified through standard deviation and diffusion entropy analyses across multiple strain rates.

Findings

PLC effect shows Levy walk scaling

Scaling behavior consistent across strain rates

Analysis methods confirm Levy walk nature

Abstract

The scaling behavior of the Portevin-Le Chatelier (PLC) effect is studied by deforming a substitutional alloy, Al-2.5%Mg and an interstitial alloy, low carbon steel (0.15%C, 0.33%Mn, 0.04%P, 0.05%S, 0.15%Si and rest Iron) at room temperature for a wide range of strain rates. To reveal the exact scaling nature, the time series data of true stress vs. time, obtained during the tensile deformation (corrected for drift due to strain hardening by polynomial fitting method), are analyzed by two complementary methods: the standard deviation analysis and the diffusion entropy analysis. From these analyses we could establish that in the entire span of strain rates, PLC effect showed Levy walk type of scaling property.