• Acta Physica Sinica
  • Vol. 68, Issue 18, 187501-1 (2019)
Xu Luo1、*, Hai-Yan Zhu2, and Ya-Ping Ding3
Author Affiliations
  • 1School of Mechatronic Engineering of Southwest Petroleum University, Chengdu 610500, China
  • 2School of Energy of Chengdu University of Technology, Chengdu 610059, China
  • 3Department of Transportation and Municipal Engineering, Sichuan College of Architectural Technology, Chengdu 610399, China
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    DOI: 10.7498/aps.68.20190765 Cite this Article
    Xu Luo, Hai-Yan Zhu, Ya-Ping Ding. A modified model of magneto-mechanical effect on magnetization in ferromagnetic materials[J]. Acta Physica Sinica, 2019, 68(18): 187501-1 Copy Citation Text show less
    Comparison of initial-curves calculated by different models: (a) Our theoretical model; (b) J-A model; (c) Z-L model; (d) correlation coefficients of different models单次磁化条件下不同模型计算得到的-曲线对比 (a)修正模型计算结果; (b) J-A模型计算结果; (c) Z-L模型计算结果; (d)不同模型计算结果与试验结果相关系数对比
    Fig. 1. Comparison of initial - curves calculated by different models: (a) Our theoretical model; (b) J-A model; (c) Z-L model; (d) correlation coefficients of different models 单次磁化条件下不同模型计算得到的 - 曲线对比 (a)修正模型计算结果; (b) J-A模型计算结果; (c) Z-L模型计算结果; (d)不同模型计算结果与试验结果相关系数对比
    Hysteresis loops predicated by modified model and J-A model under different loading stresses: (a) Our modified model for 0.003 wt% C sample; (b) J-A model for 0.003 wt% C sample; (c) our modified model for 0.15 wt% C sample; (d) J-A model for 0.15 wt% C sample不同应力条件下修正模型和J-A模型磁滞回线计算结果的对比 (a)含碳量为0.003%时修正模型计算结果; (b)含碳量为0.003%时J-A模型计算结果; (c)含碳量为0.15%时修正模型计算结果; (d)含碳量为0.15%时J-A模型计算结果
    Fig. 2. Hysteresis loops predicated by modified model and J-A model under different loading stresses: (a) Our modified model for 0.003 wt% C sample; (b) J-A model for 0.003 wt% C sample; (c) our modified model for 0.15 wt% C sample; (d) J-A model for 0.15 wt% C sample不同应力条件下修正模型和J-A模型磁滞回线计算结果的对比 (a)含碳量为0.003%时修正模型计算结果; (b)含碳量为0.003%时J-A模型计算结果; (c)含碳量为0.15%时修正模型计算结果; (d)含碳量为0.15%时J-A模型计算结果
    Hysteresis loops predicated by modified model and J-A model under different residual plastic deformation: (a) Our modified model for 0.003 wt% C sample; (b) J-A model for 0.003 wt% C sample; (c) our modified model for 0.15 wt% C sample; (d) J-A model for 0.15 wt% C sample不同残余塑性变形条件下修正模型和J-A模型磁滞回线计算结果的对比 (a)含碳量0.003%时修正模型计算结果; (b)含碳量0.003%时J-A模型计算结果; (c)含碳量0.15%时修正模型计算结果; (d)含碳量0.15%时J-A模型计算结果
    Fig. 3. Hysteresis loops predicated by modified model and J-A model under different residual plastic deformation: (a) Our modified model for 0.003 wt% C sample; (b) J-A model for 0.003 wt% C sample; (c) our modified model for 0.15 wt% C sample; (d) J-A model for 0.15 wt% C sample不同残余塑性变形条件下修正模型和J-A模型磁滞回线计算结果的对比 (a)含碳量0.003%时修正模型计算结果; (b)含碳量0.003%时J-A模型计算结果; (c)含碳量0.15%时修正模型计算结果; (d)含碳量0.15%时J-A模型计算结果
    Effects of elastic stress on hysteresis loops, coercivity and remanence: (a) Effect of elastic tensile stress on hysteresis loop; (b) effect of elastic compressive stress on hysteresis loop; (c) effect of elastic tensile and compressive stress on coercivity; (d) effect of elastic tensile and compressive stress on remanence弹性应力对磁滞回线、矫顽力及剩余磁感应强度的影响 (a)弹性拉应力对磁滞回线的影响; (b)弹性压应力对磁滞回线的影响; (c)弹性拉、压应力对矫顽力的影响; (d)弹性拉、压应力对剩余磁感应强度的影响
    Fig. 4. Effects of elastic stress on hysteresis loops, coercivity and remanence: (a) Effect of elastic tensile stress on hysteresis loop; (b) effect of elastic compressive stress on hysteresis loop; (c) effect of elastic tensile and compressive stress on coercivity; (d) effect of elastic tensile and compressive stress on remanence弹性应力对磁滞回线、矫顽力及剩余磁感应强度的影响 (a)弹性拉应力对磁滞回线的影响; (b)弹性压应力对磁滞回线的影响; (c)弹性拉、压应力对矫顽力的影响; (d)弹性拉、压应力对剩余磁感应强度的影响
    Effects of plastic deformation on hysteresis loops, coercivity and remanence: (a) Effect of plastic tensile deformation on hysteresis loop; (b) effect of plastic compressive deformation on hysteresis loop; (c) effect of plastic tensile and compressive deformation on coercivity; (d) effect of plastic tensile and compressive deformation on remanence塑性应变对磁滞回线、矫顽力及剩余磁化强度的影响 (a)拉伸塑性应变对磁滞回线的影响; (b)压缩塑性变形对磁滞回线的影响; (c)塑性变形对矫顽力的影响; (d)塑性变形对剩余磁感应强度的影响
    Fig. 5. Effects of plastic deformation on hysteresis loops, coercivity and remanence: (a) Effect of plastic tensile deformation on hysteresis loop; (b) effect of plastic compressive deformation on hysteresis loop; (c) effect of plastic tensile and compressive deformation on coercivity; (d) effect of plastic tensile and compressive deformation on remanence塑性应变对磁滞回线、矫顽力及剩余磁化强度的影响 (a)拉伸塑性应变对磁滞回线的影响; (b)压缩塑性变形对磁滞回线的影响; (c)塑性变形对矫顽力的影响; (d)塑性变形对剩余磁感应强度的影响
    模型类型应力值/MPa
    –200–1000100200
    修正模型 ${R^2}$0.99040.99470.99730.98590.9724
    Z-L模型 ${R^2}$0.94210.92900.93330.93000.8956
    J-A模型 ${R^2}$0.62890.0394–0.02890.26880.6440
    Table 1. Correlation coefficients of initial magnetization curve predicated by different models. 不同模型的相关系数 比较
    模型类型试件含碳量0.003 wt%试件含碳量0.15 wt%
    0 MPa33 MPa160 MPa0 MPa36 MPa182 MPa
    修正模型 ${R^2}$0.98450.98940.98980.98400.98080.9937
    J-A模型 ${R^2}$0.91330.91880.89840.94850.94960.9153
    Table 2. Correlation coefficients of hysteresis loops predicated by different models under loading condition. 加载条件下不同模型计算得到的磁滞回线与试验曲线相关系数 比较
    模型类型试件含碳量0.003 wt%试件含碳量0.153 wt%
    0 MPa160 MPa0 MPa182 MPa
    修正模型 ${R^2}$0.98450.99430.98400.9858
    J-A模型 ${R^2}$0.91330.98260.94850.9765
    Table 3. Correlation coefficients of hysteresis loops predicated by different models under different residual plastic deformation. 卸载条件下不同模型计算得到的磁滞回线与试验曲线相关系数 比较
    Xu Luo, Hai-Yan Zhu, Ya-Ping Ding. A modified model of magneto-mechanical effect on magnetization in ferromagnetic materials[J]. Acta Physica Sinica, 2019, 68(18): 187501-1
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