Singular Stresses of Electric Conductor with Crack in Uniform Magnetic Field : Application of Indirect Boundary Integral Method to Electromagnetic Stress Analysis

Abstract

In this paper, the indirect boundary integral method is applied to the singular elastic stress analysis of an electric conductor with a crack in the uniform magnetic field. The simple-layer potentials and the double-layer potentials are used as the solution. The volumetric integrals, involving an electromagnetic body force, are transformed to surface integrals under uniform magnetic field and steady-state current field. As a concrete example, the ring-shaped crack in an infinite body is treated, and the stress intensity factor and the displacement on the crack surface are obtained.