Integral Equation Method for Evaluation of Eddy-Current Impedance of a Rectangular, Near Surface Crack Inside a Cylindrical Hole
Artikel i vetenskaplig tidskrift, 2016

An integral equation method for solving the eddy-current nondestructive evaluation problem of a flat, rectangular, near surface crack inside of a cylindrical hole in a conducting material is presented. The method involves expanding the Green’s tensor, the incoming field, and the jump in electric potential over the crack in suitable basis functions. Here, plane waves, cylindrical waves, and basis functions related to the Chebyshev polynomials, are used. The way of discretization in this method leads to a formulation where the scattering is defined by a scattering matrix, independent of the incoming field. This presents an advantage, when conducting numerical simulations, since the scattering matrix does not have to be recalculated for every probe position. The numerical calculations are straightforward to perform and model predictions are compared with finite element results.

Surface integral equation

Eddy-current

Nondestructive evaluation

Chebyshev polynomials

Författare

Lars Larsson

Chalmers, Material- och tillverkningsteknik, Avancerad oförstörande provning

Anders E Boström

Chalmers, Tillämpad mekanik, Dynamik

Journal of Nondestructive Evaluation

0195-9298 (ISSN) 1573-4862 (eISSN)

Vol. 35

Ämneskategorier

Materialteknik

DOI

10.1007/s10921-016-0345-9