ABSTRACT This paper presents a new modeling approach of eddy current nondestructive evaluation systems containing magnetic materials. Originally, the proposed model is based on coupled circuits principle and the notion of equivalent current density. In order to make the model homogenous, we consider the current density as a state variable since this density is compatible with the representation of the magnetisation by equivalent currents. By introducing the fictitious electric conductivity approach, the sensor impedance is expressed according to magnetic tube or plate characteristics such as electric conductivity and magnetic permeability. An excellent concordance is achieved by comparing the calculated results to those of analytical ones. Regarding the mesh simplicity and the fast calculation, this method is very adapted for the resolution of the inverse problems for real time evaluation of the properties of magnetic materials.

中文翻译：

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磁性材料涡流评估的虚拟电导率模型

摘要 本文提出了一种包含磁性材料的涡流无损评估系统的新建模方法。最初，所提出的模型基于耦合电路原理和等效电流密度的概念。为了使模型均匀，我们将电流密度视为状态变量，因为该密度与等效电流表示的磁化强度一致。通过引入虚拟电导率方法，根据磁管或磁板的特性，如电导率和磁导率来表示传感器阻抗。通过将计算结果与分析结果进行比较，可以实现极好的一致性。关于网格简单性和快速计算，