Time-multi-scale
 parameter identification
 of models describing
 material fatigue

! Guillaume Puel1 ! 1Laboratoire MSSMat (Ecole Centrale Paris/CNRS UMR8579), 
 Grande voie des vignes, 92290 Châtenay-Malabry, France ! When dealing with the numerical prediction of material fatigue, classical life estimation methods, such as those described in [1], can give poor results as far as one is interested with complex loading histories (such as a loading with a slow-evolving average) or inertia effects (for high frequency loadings). It seems indeed more relevant for such cases to use time-transient models describing how internal variables, such as plastic strain, or isotropic damage, change with respect to time. However, the computational cost associated with such simulations can become prohibitive if each individual cycle has to be computed.