TY  - EJOU
AU  - G.Ananthakrishna, 

TI  - A Dynamical Approach to the Spatio-temporal Features of the Portevin-Le Chatelier Effect
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2005
VL  - 7
IS  - 3
SN  - 1526-1506

AB  - We show that the extended Ananthakrishna's model exhibits all the features of the Portevin - Le Chatelier effect including the three types of bands. The model reproduces the recently observed crossover from a low dimensional chaotic state at low and medium strain rates to a high dimensional power law state of stress drops at high strain rates. The dynamics of crossover is elucidated through a study of the Lyapunov spectrum.
KW  - PLC effect
KW  -  Chaos
KW  -  Power laws
KW  -  PLC bands

DO  - 10.3970/cmes.2005.007.233