Simulating the Conductor With a Nonuniform Resistance Under High-Pulsed Magnetic Fields

This article is devoted to the study of magnetic field diffusion into uniform and nonuniform conductors in plane geometry. The model considers the increase of resistivity with heating. Mechanical stresses and deformations are simulated based on Hooke's law and the von Mises criterion. The influence of the main parameters of steel on material durability in the magnetic field is studied in connection with a proposed criterion of destruction. The criterion is chosen as the amplitude of the magnetic field at the surface of a sample, at which plastic deformation at the end of the cooling stage does not occur. Various profiles of initial resistivity are simulated: from a smooth exponential function to a super-sharp step one. The modification of the surface results in an increase in the amplitude of the magnetic field by 15%–20% compared to a uniform material.