基于力磁耦合效应的铁磁材料修正磁化模型  

A modified model of magneto-mechanical effect on magnetization in ferromagnetic materials

作　　者：罗旭[1] 朱海燕 丁雅萍[3] Luo Xu;Zhu Hai-Yan;Ding Ya-Ping(School of Mechatronic Engineering of Southwest Petroleum University, Chengdu 610500, China;School of Energy of Chengdu University of Technology, Chengdu 610059, China;Department of Transportation and Municipal Engineering, Sichuan College of Architectural Technology, Chengdu 610399, China)

机构地区：[1]西南石油大学机电工程学院,成都610500 [2]成都理工大学能源学院,成都610059 [3]四川建筑职业技术学院交通与市政工程系,成都610399

出　　处：《物理学报》2019年第18期289-300,共12页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:51874253)和国家自然科学基金青年科学基金(批准号:51604232)资助的课题~~

摘　　要：Jiles-Atherton (J-A)模型和Zheng Xiao-Jing-Liu Xing-En (Z-L)模型在分析应力对铁磁材料磁化的影响方面应用十分广泛.目前, J-A 模型中的磁致伸缩应变与应力和磁化强度的关系式采用Jiles 给出的经典拟合公式,该拟合公式中磁化强度的二次项和四次项系数与应力均为线性关系,不能准确描述铁磁材料磁致伸缩系数随应力、磁化强度的非线性变化规律;Z-L 模型中磁致伸缩应变与应力和磁化强度的关系式采用了双曲正切函数tanh(x),更好地描述了铁磁材料磁致伸缩应变和磁化强度随应力的非线性变化规律,但Z-L 模型却没有考虑Weiss 分子场、钉扎效应的作用,且由于采用了基于弹性能的接近定理,只能描述弹性应力对磁化过程的影响.针对上述问题,本文结合Z-L 模型中的非线性磁致伸缩应变关系式以及J-A 模型中的磁滞理论,考虑弹性应力、塑性变形对模型参数的影响,建立了能够反映弹-塑性阶段应力与塑性变形对铁磁材料磁化曲线影响的修正磁化模型,分析了弹性拉、压应力及塑性拉、压变形对磁化曲线、矫顽力和剩余磁化强度的影响规律.通过与试验结果及原有模型的计算结果进行对比,发现修正模型能够更好地反映单次磁化、循环磁化过程中应力、塑性变形对磁化曲线的影响规律,理论预测结果与试验结果之间的相关系数均在0.98 以上,可为分析力磁耦合效应对铁磁材料磁化影响规律提供更准确的理论模型.The prevailing Jiles-Atherton (J-A) model and Zheng Xiao-Jing-Liu Xing-En (Z-L) model are extensively used in modeling the magneto-mechanical effect on magnetization in ferromagnetic materials. In the J-A model, a fitting formula of magnetostrictive strain interms of stress and magnetization is adopted to model the stress effect on magnetostriction. However, the fitting formula is not in good accordance with the experimental results obtained by Kuruzar and Culllity. In order to solve this problem, a transcendental function tanh(x) is appropriately selected to describe the nonlinear magnetostrictive strain in the Z-L model, and it is found that the general formula of magnetostrictive strain is more effective to describe the nonlinear relation of magnetostrictive strain with stress and magnetization. Then, the modified law proposed by Jiles and Li is adopted to modify the Z-L model by Shi Pengpeng to describe the hysteretic behavior;nevertheless, the effect of Weiss molecular field, pinning energy and plastic deformation on magnetization are not taken into account, and the modified Z-L model can only describe the elastic stress effect on magnetization. In order to solve these problems above, a modified magneto-mechanical model is established by combining the magnetostrictive constitutive relationships of Z-L model with the modified energy conservation equation of J-A model, as well as taking the effect of elastic stress and plastic strain on the model parameters into account simultaneously. It is found that the predictions of proposed model here are in better accordance with the initial magnetization curves given by Jiles and Atherton and the hysteresis loops obtained by Makar and Tanner under different stresses and plastic deformation than those calculated by the J-A model and Z-L model. The correlation coefficients between experimental data and theoretical results calculated by the modified model are all over 0.98, which indicates that the modified model here is more effective than the existing model. A detailed

关 键 词：力磁耦合 磁致伸缩 磁滞回线 Jiles-Atherton模型 ZHENG Xiao-Jing-Liu Xing-En模型 

分 类 号：TM271[一般工业技术—材料科学与工程]