The dynamics of dislocations with the same Burgers vector, contained in the same glide plane, and moving in a material with periodic obstacles were considered here. Two cases were studied: i) the particular case of parallel straight dislocations and ii) the general case of curved dislocations. In each case, homogenization of the dynamics was performed rigorously and the corresponding effective macroscopic elasto-visco-plastic flow rule was predicted.

Homogenization of Dislocation Dynamics. A.El Hajj, H.Ibrahim, R.Monneau: IOP Conference Series - Materials Science and Engineering, 2009, 3[1], 012023