On the basis of experimental data earlier obtained by the author, an empirical description is proposed for the growth rates of both short cracks and macrocracks (long cracks) for the time-dependent fracture process with regard for the influence of various factors and local resistance of the material in broad ranges of their variation on the process of crack growth.Keywords: fatigue crack-growth rate, residual compression stresses on crack edges near the crack tip. Notation Õ , Õ * -the factors acting in the presence and in the absence of the phenomenon of crack closure (crack tip), respectively ΔK, ΔK X -the current nominal ranges of the stress intensity factor (SIF) in the case of action of one and several factors, respectively ΔK th eff , , ΔK th , ΔK th X , -the threshold effective and threshold SIF ranges under the action of one and several factors, respectively ΔK fc , ΔK fc X , -the critical SIF ranges under the action of one and several factors, respectively ΔK eff , , I II -the effective SIF range in the first and second parts of the kinetic diagram of fatigue fracture (KDFF) ΔK eff ,1 2 − , ΔK X 1 2 − , , ΔK X 2 3 − , -the effective SIF range and the SIF ranges corresponding to the beginning and end of the second part of the KDFF on the effective and nominal coordinates under the action of several factors, respectively ΔK fcl ,0 , ΔK fcl , ΔK fcl X , -the critical effective SIF ranges for the case where the stress ratio of a loading cycle equal to zero and under the action of one and several factors, respectively C 1 , n 1 , C X 2 , n 2 -empirical parameters of a structural material for the effective and nominal SIF ranges ( ) , da dN X II -the crack growth rate in the middle part of the KDFF in broad ranges of variation of the factors X * Deceased.( ) dc dN X , ( ) da dN X , ( , ) dc a dN X -the growth rates of short and long macrocracks in broad ranges of variation of the factors X , respectively q 1,I , q 2,I , q 2,III -natural numbers (exponents) of the power function in a shifted coordinate system c emb sur , , a -the lengths of short (internal, surface) and long through cracks, respectivelyIntroduction. In literature, one can find about 100 relations for the analytic and empirical evaluation of the growth rate of long through fatigue cracks in structural materials (see, e.g., [1,2]). However, their application does not provide a correct description of the kinetics of growth of long cracks (short cracks are not analyzed at all) for the entire range of the KDFF depending on time with regard for the influence of both a single factor and numerous factors X in broad ranges of their action [3,4] and the local resistance of the material [5][6][7][8].It is well known that, along the abscissa, the kinetic diagram of fatigue fracture is bounded below by the threshold SIF range ΔK th X
