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A class of congruences of principal Volterra-type effective dislocation linesassociated with a dislocation density tensor is distinguished in order toinvestigate the kinematics of continuized defective crystals in terms of theirdislocation densities (tensorial as well as scalar). Moreover, it shown, basingoneself on a formula defining the mean curvature of glide surfaces forprincipal edge effective dislocation lines, that the considered kinematics ofcontinuized defective crystals is consistent with some relations appearing inthe physical theory of plasticity (e.g. with the Orowan-type kinematicrelations and with the treatment of shear stresses as driving stresses ofmoving dislocations).

Effective dislocation lines in continuously dislocated crystals. III. Kinematics