Scattering of oblique flexural waves by a through crack in a conducting Mindlin plate in a uniform magnetic field

Abstract

This paper deals with the scattering of time harmonic flexural waves by a through crack in a conducting plate under a uniform magnetic field normal to the crack surface. This study is based on Mindlin's theory of plate bending for magneto-elastic interactions under a quasistatic electromagnetic field. It is assumed that the plate has finite and electric conductivity, and the electric and magnetic permeabilities of free space. An incident wave giving rise to moments symmetric about the crack plane is applied in an arbitrary direction. Fourier transforms are used to reduce the mixed boundary value problem to one involving the numerical solution of Fredholm integral equations. The dynamic moment intensity factor vs frequency is computed and the influence of the magnetic field and the angle of incidence on the normalized values is displayed graphically.