Flexural Wave Scattering at a Through Crack in a Conducting Plate Under a Uniform Magnetic Field

[+] Author and Article Information
Y. Shindo, S. Tohyama

Department of Materials Processing, Graduate School of Engineering, Tohoku University, Sendai 980-77, Japan

I. Ohnishi

Toyota Motor Corporation, 1 Toyota-cho, Toyota 471, Japan

J. Appl. Mech 64(4), 828-834 (Dec 01, 1997) (7 pages) doi:10.1115/1.2788988 History: Received April 21, 1995; Revised April 24, 1997; Online October 25, 2007


Following a classical plate bending theory of magneto-elasticity, we consider 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. An incident wave giving rise to moments symmetric about the crack plane is applied. It is assumed that the plate has the electric and magnetic permeabilities of the free space. 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. It is found that the existence of the magnetic field produces higher singular moments near the crack tip.

Copyright © 1997 by The American Society of Mechanical Engineers
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