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Scaling Behavior of Portevin-Le Chatelier Effect

2006/02/18 by A. Sarkar, Aritra Sarkar, P. Barat +7
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0602436

To appear in the Proceedings of Science, Presented at the conference SMPRI, IISc Bangalore. To appear in the Proceedings of Science, Presented at the conference SMPRI, IISc Bangalore

arxiv created 2006/02/18 · openalex publication_date 2006/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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