A Study On Eddy Current Nondestructive Testing Model Based On Kernel Degeneration Algorithm

Eddy current non-destructive testing is a highly accurate and sensitive technique used for detecting material defects and ensuring product quality.The modeling method used in this testing directly affects the accuracy,reliability,and efficiency of the results.Method of moments,commonly used for solving integral equations,becomes challenging and time-consuming when dealing with complex targets and increased unknowns.To overcome these challenges,this study proposes an accelerated solution for 3D eddy current testing using the degenerate kernel function algorithm.The impedance matrix generated by method of moments is divided into admissible and inadmissible blocks using theH-matrix algorithm.Efficient representation of the admissible blocks is a key and challenging aspect in constructing the degenerate kernel function algorithm.The admissible blocks utilize the degenerate kernel function algorithm based on Lagrange interpolation polynomials,which separates the field source points of the kernel function,simplifying the double integration required for calculating impedance matrix elements into two single integrations.This significantly reduces the storage requirements of the impedance matrix and decreases the computation time for matrix-vector multiplication in iterative solution methods.The inadmissible blocks are solved by using method of moments.To validate the proposed method,various finite coil eddy current testing scenarios were conducted on different objects.The model responses predicted by the accelerated matrix method,augmented with the degenerate kernel function algorithm,were compared with other methods,confirming its efficiency and reliability.