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Reconstruction of group of cracks in plate specimens using ECT impedance data

机译:用ICC阻抗数据重建板标本中的裂缝组

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A method is presented for the reconstruction of multiple cracks in conducting plate specimens. The impedance variation of a conventional eddy current testing (ECT) pancake coil is assumed to be the input of the targeted inverse problem. Cracks distributed in the degraded region of the material are modeled by infinitesimally thin cracks parallel with each other. The planes of the modelling cracks are in regular distance from each other. Based on numerical investigation, the validity and the limits of the described modelling are partially discussed. The signal of the probe is calculated by the solution of a boundary integral equation. The reconstruction is made in two steps. In the first step a rough crack distribution is obtained. In this step the signal is approximated by the superposition of the signals calculated for each individual crack, that is in this step the interaction between the cracks is neglected. In this step a pre-calculated data set is used to Speed up the calculations. In the second step of the reconstruction, the interaction of the cracks is also considered. The parameters describing the group of cracks are optimised by using deterministic optimisation method. The gradient of the objective function is evaluated using the sensitivity information which is also obtained by the solution of the mentioned integral equation. Numerical example is shown for the demonstration of the presented reconstruction method.
机译:提出了一种用于在导电板标本中重建多个裂缝的方法。假设传统涡流测试(ECT)煎饼线圈的阻抗变化是目标逆问题的输入。分布在材料的降解区域中的裂缝通过彼此平行的无限薄裂缝进行建模。建模裂缝的平面彼此正常距离。基于数值调查,部分讨论了所描述的建模的有效性和限制。探针的信号通过边界积分方程的解决方案计算。重建分两步进行。在第一步中,获得粗糙的裂缝分布。在该步骤中,通过针对每个单独的裂缝计算的信号的叠加来近似信号,即在该步骤中忽略了裂缝之间的相互作用。在此步骤中,使用预先计算的数据集来加速计算。在重建的第二步中,还考虑了裂缝的相互作用。通过使用确定性优化方法优化描述裂缝组的参数。使用通过所提到的整体方程的解决方案也获得的灵敏度信息来评估目标函数的梯度。示出了用于说明所提出的重建方法的数值例子。

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