On Modeling of Portevin - Le Chatelier Effect
There are several self-sustained oscillatory phenomena observed at plastic deformation of metals. One of them happens at the beginning of plastic behavior and leads to appearance of the famous Lüders-Hartmann bands. However, it can also be found self-sustained oscillations well beyond the yield stress like Portevin and Le Chatelier did in the early 20th century. This paper presents a simple model of that by using continuum approach and the theory of dynamical systems.
P. J. Szabó and T. Berecz
P. B. Béda "On Modeling of Portevin - Le Chatelier Effect", Materials Science Forum, Vol. 659, pp. 367-371, 2010