Flexural waves scattering by a through crack in a magnetically saturated Mindlin plate under a uniform magnetic field

This paper deals with the scattering of time harmonic flexural waves by a through crack in a magnetically saturated plate under a uniform magnetic field normal to the plate surfaces. The analysis is based on Mindlinʹs plate theory of magneto-elastic interactions under a magnetic field. An incident wave giving rise to moments symmetric about the crack plane is applied. Fourier transforms are used to reduce the mixed boundary value problem to one involving the numerical solution of a Fredholm integral equation. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically.