Dynamic Singular Moments in a Perfectly Conducting Mindlin Plate With a Through Crack Under a Magnetic Field-Reference-Cited by-同舟云学术

Dynamic Singular Moments in a Perfectly Conducting Mindlin Plate With a Through Crack Under a Magnetic Field

Published:1998-11-22 Issue:3 Volume:67 Page:503-510
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Shindo Y.¹,Ohnishi I.²,Toyama S.³

Affiliation:

1. Department of Materials Processing, Graduate School of Engineering, Tohoku University, Aoba-yama 02, Sendai 980-8579, Japan

2. Toyota Motor Corporation, 1 Toyota-Cho, Toyota 471-8572, Japan

3. Toyo Engineering Corporation, 2-8-1 Akanehama, Narashino 275-0024, Japan

Abstract

Following Mindlin’s theory of plate bending of magnetoelasticity, we consider the scattering of time-harmonic flexural waves by a through crack in a perfectly 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 lower singular moments near the crack tip. [S0021-8936(00)02603-9]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/67/3/503/5467202/503_1.pdf

Reference14 articles.

1. Dunkin, J. W., and Eringen, A. C., 1963, “On the Propagation of Waves in an Electromagnetic Elastic Solid,” Int. J. Eng. Sci., 1, pp. 461–495.

2. Ambartsumian, S. A., Bagdasarian, G. E., and Belubekian, M. V., 1971, “On the Three-Dimensional Problem of Magnetoelastic Plate Vibrations,” J. Appl. Math. Mech., 35, pp. 184–195.

3. Ambartsumian, S. A., Bagdasarian, G. E., and Belubekian, M. V., 1975, “On the Equations of Magnetoelastic Thin Plate,” J. Appl. Math. Mech., 39, pp. 922–926.

4. Murakami, Y. ed., 1987, Stress Intensity Factors Handbook, Vols. 1 and 2, Pergamon Press, Oxford, UK.

5. Murakami, Y. ed., 1993, Stress Intensity Factors Handbook, Vols. 3, Pergamon Press, Oxford, UK.

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