Abstract
Models of the uniform wall thinning, a cylindrical through-hole for non-magnetic plate and the ferrite cored probes have been solved using the truncated region eigenfunction expansion (TREE) method. However, the solution of Pulsed Eddy Current Testing (PECT) for steel plate with a flat-bottom hole has seldom been given. By constructing the expressions of magnetic vector potential and solving the eigenfunction in the region where the flat-bottom hole placed, the analytical solution of PECT for the ferromagnetic plate with a flat-bottom hole is obtained. The solution is verified by a 2-D Finite Element Modeling (FEM), and the theoretical results obtained with the TREE method are in good agreement with the numerical ones obtained with a 2-D FEM package. The study proposes a theoretical method to analyze the PECT for wall thinning with the size similar to the probe.