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The notion of a congruence of effective dislocation lines endowed with thenonvanishing local Burgers vector is introduced. Particularly, the class ofcongruences of principal Volterra-type effective dislocation lines associatedwith the dislocation densities (tensorial as well as scalar) is distinguishedin order to investigate the geometry of continuized defective crystals in termsof these densities. It is shown that effective dislocation lines can be endowedwith the dislocation line tension and with a finite self-energy.

Effective dislocation lines in continuously dislocated crystals. II. Congruences of effective dislocations