Abstract

Based on the analysis of the literature data on the correlation of parameters of the empirical Paris equationthat links the fatigue crack growth rate (FCGR) with the stress intensity factor (SIF) range by power dependenceit is established that the equation contains a latent parameter normalizing the magnitude of the SIF range, whileboth the parameter itself and the coefficient of proportionality between FCGR and some power of normalizedSIF range are constant or slightly changing magnitudes for alloys of different types on the same basis. For reasonsof dimension and symmetry analysis the nature of this parameter as well as the magnitudes of the proportionalitycoefficient and the index of power are determined. As a result a kinetic equation is obtained coincidingwith the kinetic equation for low cycle fatigue (LCF) crack stable growth deduced earlier using a physically justifiedmathematical model. The same equation is obtained on the basis of experimental data that describe theLCF crack kinetics in standard specimens at the stage of crack stable growth with the use of fatigue striations asa FCGR measure. Examples of application of the kinetic equation for LCF crack stable growth modeling in aeroengine disks are presented.

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