A Novel Perturbed Matrix Inversion Based Method for the Acceleration of Finite Element Analysis in Crack-Scanning Eddy Current NDT
A Novel Perturbed Matrix Inversion Based Method for the Acceleration of Finite Element Analysis in Crack-Scanning Eddy Current NDT
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DOI：
10.1109/access.2020.2966032
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发表时间：
2020-01-01
期刊：
影响因子：
3.9
通讯作者：
Yin, Wuliang
中科院分区：
文献类型：
--
作者：
Huang, Ruochen;Lu, Mingyang;Yin, Wuliang
无损检测（NDT）具有良好的裂纹检测能力。本文提出了一种新的方法，加速涡流计算的裂纹检测使用有限元法（FEM）。该方法利用了这样一个事实，即，由于存在一个小的缺陷，在有限元法中的刚度矩阵的样品板的缺陷可以被视为刚度矩阵Q的样品板不存在的缺陷和扰动矩阵D的总和。因此，可以使用摄动矩阵求逆（PMI）方法获得具有缺陷的样品板的刚度矩阵的逆。PMI方法只需要对一个小得多的矩阵求逆，因此提高了计算过程的速度。数值试验验证了该方法在缩短有限元裂纹扫描计算时间方面的有效性。
Non-destructive testing (NDT) has a promising capability for crack detection. In this paper, a novel method for accelerating eddy current calculation for crack detection using the finite element method (FEM) is presented. This method exploits the fact that, due to the presence of a small defect, the stiffness matrix in FEM for a sample plate with the defect can be regarded as a summation of the stiffness matrix Q from the sample plate without the presence of the defect and the perturbation matrix D from the defect. The inversion of the stiffness matrix for a sample plate with the defect can, therefore, be obtained using the perturbed matrix inversion (PMI) method. PMI method only requires the inversion of a much smaller matrix and therefore improves the speed of the computation process. Numerical tests verified the effectiveness of the proposed method in shortening the computation time for crack scanning in FEM.