Determining a Surface Breaking Crack from Steady-State Electrical Boundary Measurements Reconstruction Method

Abstract

We seek a non-destructive testing method to detect a radial surface breaking crack in a two-dimensional circolar disk. The detection method utilizes steady-state electrical boundary measurements. A nonlinear function which characterizes the size and the location of a radial surface crack is constructed based on the knowledge of two data readings of the boundary voltage intensity corresponding to a current flux of dipole pattern. Based on this output function, we can detect the presence of a radial surface crack from two data readings of voltage intensity measurement on the boundary. And two convergent algorithms are derived individually to locate and then determine the size of the crack.