Gi. Barenblatt et Lr. Botvina, SELF-OSCILLATORY MODES OF FATIGUE FRACTURE AND THE FORMATION OF SELF-SIMILAR STRUCTURES AT THE FRACTURE SURFACE, Proceedings - Royal Society. Mathematical and physical sciences, 442(1915), 1993, pp. 489-494
The jump-like extension of the fatigue crack as described by P. J. E.
Forsyth is considered. It is shown that such a peculiar extension regi
me of the fatigue crack is connected with two features: the presence o
f fatigue kinetic diagram discontinuity and the appearance of the self
-similar intermediate asymptotic crack propagation regime with scaling
properties. A model of self-similar jump-like extension of fatigue cr
ack and the critical parameters which control such crack extension are
presented.