A nonlinear aspect of crystal plasticity : the Portevin-Le Chatelier effect

L.P. Kubin , Y. Estrin

In order to illustrate the potentialities of application of the methods used in the dynamics of nonlinear systems to crystal plasticity, we consider a simple description of the Portevin-Le Chatelier effect. The dynamic properties of dislocations are modelled through a small scale averaging procedure, in terms of a first-order nonlinear oscillator. Solutions are obtained which exhibit time periodicities of the kind of relaxation oscillations and spatial organization in form of a solitary band. Several proposals for further experimental investigation are outlined, and various analogue systems are discussed.

Mots clés: dislocations; serrated yielding

Domaines: Articles anciens

L.P. Kubin, Y. Estrin. A nonlinear aspect of crystal plasticity : the Portevin-Le Chatelier effect. Journal de Physique, 1986, 47 (3), pp.497-505. ⟨10.1051/jphys:01986004703049700⟩. ⟨jpa-00210230⟩