Magnetic Field Effects on Dynamic Bending Moment Intensity Factor of a Perfectly Conducting Plate with a Through Crack

Abstract

We consider the scattering of time harmonic flexural waves by a through crack in a perfectly conducting plate under a uniform magnetic field. By the use of Fourier transforms we reduce the problem to solving a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically.