Current theoretical approaches to collective behavior of dislocations

G Ananthakrishna - Physics reports, 2007 - Elsevier
Plastic deformation is a highly dissipative process that induces a variety of patterns such as
the cell structure in multislip conditions, the matrix structure and the persistent slip bands in …

Crossover from chaotic to self-organized critical dynamics in jerky flow of single crystals

G Ananthakrishna, SJ Noronha, C Fressengeas… - Physical review E, 1999 - APS
We report a crossover from chaotic to self-organized critical dynamics in the Portevin–Le
Chatelier effect in single crystals of Cu–10% Al in tension as a function of the applied strain …

Effect of deformation geometry on the intermittent plastic flow associated with the Portevin–Le Chatelier effect

TA Lebedkina, MA Lebyodkin - Acta Materialia, 2008 - Elsevier
The unstable plastic flow caused by the Portevin–Le Chatelier effect is studied
experimentally. Non-local effects due to strain heterogeneity are addressed by comparing …

Multifractal burst in the spatiotemporal dynamics of jerky flow

MS Bharathi, M Lebyodkin, G Ananthakrishna… - Physical review …, 2001 - APS
The collective behavior of dislocations in jerky flow is studied in Al-Mg polycrystalline
samples subjected to constant strain rate tests. Complementary dynamical, statistical, and …

The hidden order behind jerky flow

MS Bharathi, M Lebyodkin, G Ananthakrishna… - Acta Materialia, 2002 - Elsevier
Jerky flow, or the Portevin-Le Chatelier effect, is investigated at room temperature by
applying statistical, multifractal and dynamical analyses to the unstable plastic flow of …

Reliability of the 0-1 test for chaos

J Hu, W Tung, J Gao, Y Cao - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
In time series analysis, it has been considered of key importance to determine whether a
complex time series measured from the system is regular, deterministically chaotic, or …

Comment on “Reliability of the 0-1 test for chaos”

GA Gottwald, I Melbourne - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
Recently Hu, Tung, Gao, and Cao [Phys. Rev. E 72, 056207 (2005)] investigated the 0-1 test
for chaos. By looking at random data and at data stemming from the one-dimensional …

Multifractal analysis of the Portevin–Le Chatelier effect: General approach and application to AlMg and AlMg/Al2O3 alloys

MA Lebyodkin, Y Estrin - Acta materialia, 2005 - Elsevier
Recent studies of the Portevin–Le Chatelier (PLC) effect bear evidence that serrated
deformation curves characteristic of unstable plastic flow may exhibit temporal features that …

Chaos in the Portevin–Le Châtelier effect

SJ Noronha, G Ananthakrishna, L Quaouire… - … Journal of Bifurcation …, 1997 - World Scientific
We report the verification of the prediction of chaos in the Portevin–Le Châtelier effect or the
jerky flow by analyzing the stress signals obtained from samples of polycrystalline Al–Mg …

Plastic deformation studies of Zr-based bulk metallic glassy samples with a low aspect ratio

DV Louzguine-Luzgin, SV Ketov, Z Wang… - Materials Science and …, 2014 - Elsevier
In the present work Zr-based bulk metallic glassy samples with low aspect ratio (1: 2) were
deformed plastically at quasistatic loading conditions in order to study propagation of …