Fuzzy regularization method for ill-posed problems on ECT with Laplace transform BEM

This paper presents an identification method of crack shapes on eddy current testing. In order to use the impulse excitation, numerical analysis is performed by the boundary element method with Laplace transform. The shapes of cracks are identified directly from the integral equation of BEM. The singular value decomposition and regularization method by means of fuzzy inference are applied in the coefficient matrix for the unknown variables to obtain proper crack shapes.