Multi-scale approach for anisothermal high-cycle fatigue

An extension of the macro-meso approach developed by Dang Van in isothermal high-cycle fatigue is established in the case of structures subjected to anisothermal cyclic loadings. The fatigue limits of such structures are assumed to be temperature-dependent. This proposal is based upon the assumption of elastic shakedown at macroscopic and mesoscopic scales. The use of a local shakedown condition established for structures with temperature-dependent yield limits leads to a thermomechanical formulation of the high-cycle fatigue criteria.