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As one of the important non-destructive testing techniques for evaluating material performance degradation and stress state, magnetic Barkhausen noise (MBN) has broad application prospects. Clarifying the relationship between internal stress distribution and detection signal can provide important guidance for evaluating the stress state of material based on the MBN signal. In this work, by constructing the expression of Barkhausen noise excitation intensity related to stress value, combining with the signal attenuation effect during signal propagation, and using the layered model along the thickness direction, we establish the analytical model of MBN signal on the surface of the ferromagnetic plate with internal stress distribution. Based on the existing experimental results, it is confirmed that the proposed model can reflect the effects of the different uniform stresses in the ferromagnetic plate on the signal at different detection frequencies. For the ferromagnetic plate with internal stress distribution, the effects of its stress distribution, magnetic conductivity, electrical resistivity, and thickness on the surface MBN signal are discussed in detail based on the proposed model. The theoretical analysis in this work can be applied to the testing mechanism analysis of the MBN stress evaluation method.
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Keywords:
- magnetic Barkhausen noise /
- non-destructive testing /
- stress distribution /
- analytical model
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Google Scholar
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Google Scholar
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Google Scholar
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图 1 铁磁板沿厚度方向应力分布诱导的MBN信号模型图
Figure 1. Model of MBN signal induced by the stress distribution along the thickness direction of a ferromagnetic plate.
图 2 铁磁板内部为恒定应力时MBN检测
Figure 2. MBN testing on the ferromagnetic plate under a constant stress.
图 4 电阻率对MBN信号的影响 (a) 信号强度与频率的关系; (b) 信号总强度与板厚的关系
Figure 4. Effect of the electrical resistivity on the MBN signal strength: (a) The signal intensity versus frequency; (b) the total signal intensity versus the thickness of the ferromagnetic plate.
图 5 磁导率对MBN信号强度的影响 (a)信号强度与频率的关系; (b) 信号总强度与板厚的关系
Figure 5. Effect of magnetic permeability on the MBN signal strength: (a) The signal intensity versus frequency; (b) the total signal intensity versus thickness of the ferromagnetic plate.
图 6
${V_{{\text{orig}}}}\left( 0 \right)$ 对MBN信号的影响 (a) 信号强度与频率的关系; (b) 信号总强度与板厚的关系Figure 6. Effect of
${V_{{\text{orig}}}}\left( 0 \right)$ on the MBN signal strength: (a) The signal intensity versus frequency; (b) the total signal intensity versus the thickness of the ferromagnetic plate.
图 7 不同板厚下, 检测频率(下、上限)对MBN信号总强度的影响 (a) 检测频率下限; (b) 检测频率上限
Figure 7. The MBN signal strength varying with thickness of the ferromagnetic plate in three cases of different (a) the low and (b) upper limits of the detection frequency.
图 8 不同应力分布情形下的MBN信号总强度 (a) 沿板厚度方向的应力分布; (b)不同应力分布下MBN信号总强度随板厚的变化
Figure 8. Total MBN signal strength under the different stress distribution along the thickness of the ferromagnetic plate: (a) Four different stress distributions along thickness direction of the plate; (b) the total signal intensity versus thickness in these four cases.
图 9 分层层数对
$\Delta {V_{{\text{total}}}}$ 的影响 (a) 材料电阻率不同; (b) 磁导率不同Figure 9. Calculated
$\Delta {V_{{\text{total}}}}$ varying with the number of layers along thickness direction of the ferromagnetic plate: (a) Different electrical resistivities; (b) different magnetic permeabilities. -
[1] Zhuang W Z, Halford G R 2001 Int. J. Fatigue 23 31
Google Scholar
[2] Blaow M, Evans J T, Shaw B A 2005 Acta Mater. 53 279
Google Scholar
[3] 时朋朋 2021 力学学报 53 3341
Google Scholar
Shi P P 2021 Chin. J. Theor. Appl. Mechan. 53 3341
Google Scholar
[4] Moorthy V, Shaw B A, Hopkins P 2006 J. Magn. Magn. Mater. 299 362
Google Scholar
[5] 时朋朋, 郝帅 2021 物理学报 70 034101
Google Scholar
Shi P P, Hao S 2021 Acta Phys. Sin. 70 034101
Google Scholar
[6] Shi P P, Su S Q, Chen Z M 2020 J. Nondestruct. Eval. 39 1
Google Scholar
[7] 郑阳, 张鑫, 周进节, 谭继东 2021 仪器仪表学报 42 13
Google Scholar
Zheng Y, Zhang X, Zhou J J, Tan J D 2021 Chin. J. Scientif. Instrum. 42 13
Google Scholar
[8] 王志, 何存富, 刘秀成, 陈彬, 宋亚虎, 王博 2021 实验力学 36 43
Google Scholar
Wang Z, He C F, Li X C, Chen B, Song Y H, Wang B 2021 J. Exp. Mech. 36 43
Google Scholar
[9] 谭君洋, 夏丹, 董世运, 吕瑞阳, 徐滨士 2021 中国表面工程 34 8
Google Scholar
Tan J Y, Xia D, Dong S Y, Lv R Y, Xu B S 2021 China Surface Engineering 34 8
Google Scholar
[10] Kinser E R, Lo C C H, Barsic A J, Jiles D C 2005 IEEE Trans. Magn. 41 3292
Google Scholar
[11] Jr Aranas C, He Y L, Podlesny M 2018 Mater. Charact. 146 243
Google Scholar
[12] Jiles D C, Suominen L 1994 IEEE Trans. Magn. 30 4924
Google Scholar
[13] Jagadish C, Clapham L, Atherton D L 1990 IEEE Trans. Magn. 26 1160
Google Scholar
[14] Krause T W, Pattantyus A, Atherton D L 1995 IEEE Trans. Magn. 31 3376
Google Scholar
[15] Mierczak L, Jiles D C, Fantoni G 2010 IEEE Trans. Magn. 47 459
Google Scholar
[16] Santa-aho S, Vippola M, Saarinen T, Isakov M, Sorsa A, Lindgren M, Leiviskä k, Lepistö T 2012 J. Mater. Sci. 47 6420
Google Scholar
[17] Desvaux S, Duquennoy M, Gualandri J, Ouaftouh M, Ourak M 2005 Nondestruct. Test. Eva. 20 9
Google Scholar
[18] Lasaosa A, Gurruchaga K, García Navas V, Martínez-de-Guereñu A 2014 Adv. Mater. Res. 996 373
Google Scholar
[19] Kypris O, Nlebedim I C, Jiles D C 2014 J. Appl. Phys. 115 083906
Google Scholar
[20] Kypris O, Nlebedim I C, Jiles D C 2013 IEEE Trans. Magn. 49 3893
Google Scholar
[21] Shi P P 2020 Chin. Phys. Lett. 37 087502
Google Scholar
[22] Sablik M J, Jiles D C 1988 J. Appl. Phys. 64 5402
Google Scholar
[23] Shi P P, Bai P G, Chen H E, Su S Q, Chen Z M 2020 J. Magn. Magn. Mater. 504 166669
Google Scholar
[24] Shi P P 2020 J. Appl. Phys. 128 115102
Google Scholar
[25] Ghanei S, Kashefi M, Mazinani M 2014 J. Magn. Magn. Mater. 356 103
Google Scholar
[26] Stupakov O, Melikhov Y 2014 IEEE Trans. Magn. 50 6100104
Google Scholar
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