Cumulative plastic damage caused during the low cycle fatigue (LCF) regime may seriously undermine the safety of the steel members and even lead to serious industrial accidents. Magnetic memory method (MMM), as a novel nondestructive testing technology, has been developed to evaluate the fatigue damage for the ferromagnetic material, but there is the lack of a quantitative description exists for the relationship between magnetic memory signals and cumulative plastic damage yet. In this paper, the strain‐based Jiles–Atherton hysteresis model under cyclic load during the LCF regime was established. Meanwhile, the LCF tests for S355 steel were performed, and the H_SF signals on the surface of the specimen were collected under different loading cycles. Finite element (FE) simulations for coupling magnetic memory signals and cumulative plastic strain were carried out by the strain‐based Jiles–Atherton hysteresis model. Comparing with experimental results verifies the feasibility and accuracy of the FE method. The results indicate that the slope of the H_SF signals fitting curve, K, as a characteristic parameter, has an exponential decrease as the cumulative plastic damage D increases. A general quantitative expression of the magneto‐damage model was built by discussing the influences of different factors on the K–D relation curves. It can be proved by verification that the magneto‐damage model provides a direct way for the quantitative evaluation of the cumulative plastic damage for the low‐carbon steel under LCF.

中文翻译：

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基于磁记忆法的低周疲劳铁磁钢累积塑性损伤定量评估

低周疲劳（LCF）期间造成的累积塑性损坏可能会严重损害钢构件的安全性，甚至导致严重的工业事故。已经开发了磁记忆方法（MMM）作为一种新型的无损检测技术来评估铁磁材料的疲劳损伤，但是对于磁记忆信号与累积塑性损伤之间的关系尚缺乏定量描述。在本文中，建立了在LCF过程中循环载荷下基于应变的Jiles-Atherton滞后模型。同时，进行了S355钢的LCF测试，以及H _SF在不同的加载周期下，样品表面上的信号被收集。基于应变的Jiles-Atherton磁滞模型进行了耦合磁存储信号和累积塑性应变的有限元（FE）模拟。与实验结果进行比较，验证了有限元方法的可行性和准确性。结果表明，随着累积塑性损伤D的增加，作为特征参数的H _SF信号拟合曲线的斜率K呈指数下降。通过讨论不同因素对K - D的影响，建立了磁损伤模型的一般定量表达式。关系曲线。通过验证可以证明，磁损伤模型为定量评估LCF下低碳钢的累积塑性损伤提供了直接的方法。