An analytical relaxation model of plasticity is proposed for predicting the deformation characteristics of cyclically stabilized materials. The model is modified for cyclic deformation conditions and involves the determination of the structural-temporal and relaxation characteristics of the material. It is shown that the earlier developed relaxation model of plastic deformation for single loading can predict the rapid relaxation of plastic strains (stabilization effect). The phenomenological model results agree well with the experimental data for steel DP500 as well as for steel 50 subjected to thermal and thermomechanical treatments under unidirectional cyclic deformation. The characteristic times of structured and nanostructured steel 50 are estimated and compared. It is shown that the time sensitivity factor of the material included in the relaxation model of plasticity can take into account the material processing method.

中文翻译：

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低周变形下塑性应变稳定性的影响

提出了一种塑性的解析松弛模型，用于预测循环稳定材料的变形特性。该模型针对循环变形条件进行了修改，涉及确定材料的结构-时间和松弛特性。结果表明，较早开发的单载荷塑性变形松弛模型可以预测塑性应变的快速松弛（稳定效应）。现象学模型结果与 DP500 钢和 50 钢在单向循环变形下进行热处理和热机械处理的实验数据非常吻合。估计并比较结构化和纳米结构化钢50的特征时间。