A flaw in a cylinder

The problem of magnetostatics for the following model of a defective body is considered: an inclusion in the form of an infinite cylinder with an arbitrary cross section, which is limited by a smooth contour, is inside an infinite magnetic cylinder with a circular profile. An integrodifferential equation with respect to the strength vector of the resulting magnetic field, which contains an integral only over the boundary of the flaw cross section, was derived for this type of body. An algorithm for calculating such a field for the case of an inclusion in the form of a circular cylinder, which is misaligned relative to the large cylinder, was developed. The results of this study can be used in practice when testing cylindrical items with extended flaws.