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首页> 外文期刊>NDT & E international >Field distribution around a hidden long crack in a conductive half space excited by arbitrary-frequency alternating-current-carrying coil of arbitrary shape
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Field distribution around a hidden long crack in a conductive half space excited by arbitrary-frequency alternating-current-carrying coil of arbitrary shape

机译：任意形状的任意频率载流线圈激励的导电半空间中隐藏的长裂纹周围的场分布

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摘要

A semi-analytical solution for evaluation of field distributions around the surface of a conductive half space which contains a hidden long crack and excited by a three-dimensional (3D) current-carrying inducing coil at arbitrary frequency is presented. The governing Helmholtz equation is solved in three dimensions by separation of variables. The solution is obtained by developing a two-dimensional (2D) Fourier series model and using exponential functions in the third dimension. To expand all possible field components in the problem, we assume the conductor as a lossy material. The displacement current in the crack mouth is regarded to have a nonzero value accordingly. After imposing boundary conditions and using the mode matching technique, a linear system of AX = B is solved to obtain the unknown coefficients. The accuracy of the proposed modeling technique is demonstrated by comparing our results with those obtained numerically for a 3D inducing coil.
机译：提出了一种半导电分析方法，用于评估导电半空间表面周围的场分布，该半空间包含一个隐藏的长裂纹，并由三维（3D）载流感应线圈以任意频率激励。掌控的亥姆霍兹方程通过变量分离在三个维度上求解。通过开发二维（2D）傅里叶级数模型并在第三维中使用指数函数来获得解决方案。为了扩展问题中所有可能的场分量，我们假设导体是有损耗的材料。因此，裂纹口中的位移电流被认为具有非零值。在施加边界条件并使用模式匹配技术后，求解AX = B的线性系统以获得未知系数。通过将我们的结果与为3D感应线圈数值获得的结果进行比较，可以证明所提出的建模技术的准确性。

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