The magnetic Barkhausen noise (MBN) control is popular for materials characterization and as a magnetic Non-Destructive Testing & Evaluation (NDT & E) method. MBN comes from the erratic and unpredictable magnetic domains motion during the magnetization process. Its correlation to the micro-structural properties is evident. MBN is usually studied through time independent indicators, like the MBNenergy, which is obtained by integrating the square of the MBN voltage signal with respect to the time axis. By plotting the MBN energy as a function of the tangent excitation field H, a hysteresis cycle can be observed. After renormalization, the comparison with the classic induction vs excitation B(H) hysteresis loop provides interesting observations. Similar shapes can be observed if the domain wall contribution is preponderant in the magnetization process. On the contrary, strong differences appear if the magnetization rotation mechanism is stronger. There is no available standard for the exploitation of MBN control devices. Usual procedures rely on rejection thresholds based on empirical relations. In this domain, simulation tools able to refine these thresholds and improve the understanding of the physical behavior are highly desired. In this study, a simulation method combining a multiscale model for the anhysteretic behavior and the Jiles-Atherton theory is proposed to simulate precisely the MBNenergy hysteresis cycles. The use of the multiscale model allows separating the contributions of domain wall motion and magnetization rotation mechanisms. The satisfying simulation results validate the approach and constitute a major step toward a comprehensive simulation tool dedicated to MBN.

中文翻译：

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磁巴克豪森噪声能量循环的多尺度建模

磁性巴克豪森噪声 (MBN) 控制在材料表征和磁性无损检测和评估 (NDT & E) 方法中很受欢迎。MBN 来自磁化过程中不稳定和不可预测的磁畴运动。它与微观结构特性的相关性是显而易见的。MBN 通常是通过时间无关的指标来研究的，比如 MBNenergy，它是通过对 MBN 电压信号的平方相对于时间轴进行积分而获得的。通过将 MBN 能量绘制为切线激发场 H 的函数，可以观察到滞后循环。重整化后，与经典感应与激励 B(H) 磁滞回线的比较提供了有趣的观察结果。如果磁化过程中畴壁贡献占优势，则可以观察到类似的形状。相反，如果磁化旋转机制更强，则会出现强烈差异。没有可用的标准来利用 MBN 控制设备。通常的程序依赖于基于经验关系的拒绝阈值。在这个领域，非常需要能够改进这些阈值并提高对物理行为的理解的仿真工具。在这项研究中，提出了一种结合非滞后行为的多尺度模型和 Jiles-Atherton 理论的模拟方法来精确模拟 MBNenergy 滞后循环。多尺度模型的使用允许分离畴壁运动和磁化旋转机制的贡献。