Modeling plastic deformation effect on the hysteresis loops of ferromagnetic materials based on modified Jiles-Atherton model
Modeling plastic deformation effect on the hysteresis loops of ferromagnetic materials based on modified Jiles-Atherton model
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DOI：
10.7498/aps.66.107501
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发表时间：
2017-05-20
影响因子：
1
通讯作者：
Liu Jian-Xun
中科院分区：
文献类型：
--
作者：
Liu Qing-You;Luo Xu;Liu Jian-Xun
塑性变形是影响钢的磁滞性能的重要特征之一，因为塑性变形改变了位错密度，影响了磁位壁的运动和钉扎。为了模拟塑性变形对磁性能的影响，普遍采用了Jiles-Atherton(J-A)理论。然而，在Jiles等人发表的一系列论文中，J-A模型。并不完全一致。因此，不同研究者根据不同的J-A模型建立的磁塑性模型没有统一的公式，不同的磁塑性模型的数学表达形式也不尽相同，给分析结果的准确性和有效性的判别带来了困难。因此，有必要建立一个准确合理的磁塑性模型。本文在亚铁磁体磁化机理和塑性变形模型的基础上，分析了塑性变形对磁塑性模型中所采用的位错密度、钉扎系数和标度常数等磁特性参数的影响，首次建立了它们之间的关系。然后，通过对比不同研究者建立的磁滞曲线拟合公式、能量守恒方程和有效磁场方程，提出了几点质疑，并阐明了现有磁塑性模型的不合理性和不准确性，如磁滞磁化和磁化混合，不合理地将不可逆磁化能量视为实际总磁化能量。在此基础上，对能量守恒方程、有效磁场方程和滞回磁化方程进行了修正，重新推导出了磁塑性模型的微分式。将已有的磁塑性模型的计算结果与实验结果进行比较，确实可以看出，在塑性变形较小时，磁化强度的变化更为剧烈，磁化强度随塑性变形量的增大而减小的速度慢于李健-卫、冷建成和王铮-道分别提出的模型的计算结果，饱和磁化强度和剩余磁化强度随塑性变形量的增大而减小，矫顽力反而增大，达到饱和磁化强度的趋势趋于平缓，这与实验观测的结果比用Sablik模型计算的结果更符合；此外，用改进的磁塑性模型计算的塑性变形碳钢试件的磁滞回线也比现有模型的结果更符合实验结果。因此，修正后的模型是有效的，修正后的磁塑性模型能更准确地模拟塑性变形对铁磁材料磁性能的影响。
Plastic deformation is one of the most important features that affect the hysteresis magnetic properties of steels, because it changes the dislocation density and affects domain-wall movement and pinning. In order to model the effect of plastic deformation on the magnetic properties, the prevailing Jiles-Atherton (J-A) theory is extensively used. However, the J-A models in a series of papers published by Jiles et al. are not completely consistent. As a result, there exists no uniform formula of magneto-plastic model established by different researchers, based on different J-A models, and various versions given by different mathematic expressions of magneto-plastic model often create difficulty in discriminating the accuracies and effectivenesses of the analyzed results. Therefore, it is necessary to establish an accurate and reasonable magneto-plastic model. In this paper, on the basis of magnetization mechanism of ferrimagnet and plastic deformation model, the effects of plastic deformation on the magnetic characteristic parameters adopted in magneto-plastic model, such as dislocation density, pinning coefficient and scaling constant, are analyzed and the relationship between them is first established. Then, by contrasting the fitting formula of the anhysteretic magnetization curve, the energy conservation equation and the effective magnetic field equation established by different researchers, several queries are proposed, and the irrationality and inaccuracy of the existing magneto-plastic model are elucidated, such as the mixing of anhysteresis magnetization and magnetization, the unreasonably regarding the irreversible magnetization energy as actual total magnetization energy. Thus, the energy conservation equation, the effective magnetic field equation and the anhysteretic magnetization equation are modified, and the differential expression of the magneto-plastic model is re-derived finally. Comparing the results calculated by the existing magneto-plastic models with the experimental results, it is seen indeed that a more sharp change of magnetization appears at small plastic deformation, then, the values of magnetization decrease more slowly with the increase of plastic deformation than those from the models respectively proposed by Li Jian-Wei, Leng Jian-Cheng and Wang Zheng-Dao; the saturation magnetization and residual magnetization decrease with the increase of plastic deformation, the coercive force is increased oppositely and the trend to reach the saturation magnetization becomes gentler, which is more exactly consonant with experiment observation than that calculated by the Sablik's model; additionally, the hysteresis loops of the plastically deformed carbon-steel samples calculated by the modified magneto-plastic model are also in better agreement with the experimental results than those from the existing models. Consequently, the modification is effective, and the modified magneto-plastic model is more accurate to simulate the plastic deformation effect on the magnetic property of ferromagnetic material.