The kinematics of edge dislocations were considered on the basis of a model of dislocation lines which were located in a time-dependent equidistant Riemannian material space. Particular material flows, termed dislocation flows, were introduced in order to make a comparison between dislocation kinematics and macroplasticity kinematics. It was shown that the Riemannian generalization of the kinematic assumptions of perfect plasticity theory led to Orowan-type formulae for glide, as well as double cross-slip, types of edge dislocation kinematics. The effect of the driving stress of moving dislocations upon the shear rate was considered.

Kinematics of Edge Dislocations - II. Orowan-Type Kinematic Relations. A.Trzesowski: International Journal of Theoretical Physics, 1997, 36[12], 2895-911