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RESEARCH PAPERS

Dynamic Singular Stresses for a Griffith Crack in a Soft Ferromagnetic Elastic Solid Subjected to a Uniform Magnetic Field

[+] Author and Article Information
Y. Shindo

Department of Mechanical Engineering II, Tohoku University, Sendai 980, Japan

J. Appl. Mech 50(1), 50-56 (Mar 01, 1983) (7 pages) doi:10.1115/1.3167016 History: Received January 01, 1982; Revised August 01, 1982; Online July 21, 2009

Abstract

The problem of the diffraction of normally incident longitudinal waves on a Griffith crack located in an infinite soft ferromagnetic elastic solid is considered. It is assumed that the solid is a homogeneous and isotropic one and is permeated by a uniform magnetostatic field normal to the crack surfaces. Fourier transforms are used to reduce the problem to two simultaneous dual integral equations. The solution to the integral equations is expressed in terms of a Fredholm integral equation of the second kind having the kernel that is a finite integral. The dynamic singular stress field near the crack tip is obtained and the influence of the magnetic field on the dynamic stress intensity factor is shown graphically in detail. Approximate analytical expressions valid at low frequencies are also obtained and the range of validity of these expressions is examined.

Copyright © 1983 by ASME
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