“…Further work will involve the extension of the present approach to the fatigue of metallic polycrystalline materials. The fatigue strength of polycrystalline materials is a longstanding problem in mechanical design, especially in the very high cycle fatigue regime, where the stress level is much lower than traditional fatigue limit ( Bathias and Paris, 2004 ;Stanzl-Tschegg et al, 2007 ;Phung et al, 2014 ;Torabian et al, 2016aTorabian et al, , 2016bTorabian et al, , 2017aTorabian et al, , 2017b. In order to reduce experiment duration time, many authors have resorted to the method of self-heating tests, in which the thermomechanical response of the material during cyclic loading is analyzed and the intrinsic dissipation is taken as the fatigue damage indicator to evaluate fatigue strength at various stress levels in the high and very high cycles fatigue domain ( Luong 1995 ;La Rosa et Risitano 20 0 0 ;Boulanger et al, 2004 ;Doudard et al, 2010 ;Chrysochoos et al, 2008 ;Connesson et al, 2011 ;Blanche et al, 2015 ;Guo et al, 2015 ).…”