Magnetoelastic Interaction of a Soft Ferromagnetic Plate with a Through Crack under Bending

Abstract

A magneto-elastic analysis is presented for the bending problem of a soft ferromagnetic thin plate of finite width with a through crack under a uniform magnetic field. Fourier transform method is used to solve the magneto-elastic problem and the result is expressed in terms of an integro-differential equation for the deflection. The integro-differential equation is solved by the standard iteration method and the mixed boundary value problem is reduced to the solution of a Fredholm integral equation of the second kind. The moment intensity factor is computed and the influence of the magnetic field on the normalized values is displayed graphically.