Abstract: An analytical relaxation model of plasticity isproposed for predicting the deformation characteristics of cyclicallystabilized materials. The model is modified for cyclic deformationconditions and involves the determination of the structural-temporal andrelaxation characteristics of the material. It is shown that the earlierdeveloped relaxation model of plastic deformation for single loading canpredict the rapid relaxation of plastic strains (stabilization effect).The phenomenological model results agree well with the experimental datafor steel DP500 as well as for steel 50 subjected to thermal andthermomechanical treatments under unidirectional cyclic deformation. Thecharacteristic times of structured and nanostructured steel 50 areestimated and compared. It is shown that the time sensitivity factor ofthe material included in the relaxation model of plasticity can takeinto account the material processing method.