Statistically based phenomenology of mesodefects allowed the interpretation of damage kinetics as the scaling transitions in defect ensembles and the explanation of limited steady-state crack velocity, transition to the branching regime, scaling aspects of dynamic and fatigue failure. Qualitative different nonlinearity for damage kinetic equation was established for the slip bands and microcrack controlled stages of fatigue failure. This allows the original interpretation of the 4th Paris law in the terms of scaling universality and the explanation of the crack closure effect as the consequence of the anomalous energy absorbtion at the crack tip zone during scaling transitions in mesodefects ensemble. Presented results reflect the long-term collaboration of research teams of the Laboratory of Physical Foundation of Strength of the Institute of Continuous Media Mechanics of RAS (Russia) and LAMEFIP ENSAM of the Bordeaux University (France).

J.-L. Lataillade, O.B. Naimark  Mesoscopic and nonlinear aspects of dynamic and fatigue failure (experimental and theoretical results // Физ. мезомех. - 2004. - Т. 7. - № 4. - С. 55-66