Development of a Mathematical Model for Electromagnetic Field of a Thin Conductive Shell with Cuts

A mathematical theory of eddy currents of geometrically thin conducting shells is developed for shells with cuts, namely: a correctness of an integral equation of the 2nd kind for eddy currents of shells with cuts is substantiated; a software for electromagnetic calculations is upgraded by eliminating columns and rows in a system of linear algebraic equations corresponding to discretization nodes lying on the cut lines. A series of calculations is carried out, confirming a sufficiency of the mathematical model and an availability of the upgraded package. The results are illustrated by plots of the eddy current distribution at middle surfaces of shells of hemispherical and cylindrical types with multipath cuts.