Dynamic Stress Intensity Factors for an Inclined Subsurface Crack

[+] Author and Article Information
W. Lin, L. M. Keer, J. D. Achenbach

Department of Civil Engineering, Northwestern University, Evanston, Ill. 60201

J. Appl. Mech 51(4), 773-779 (Dec 01, 1984) (7 pages) doi:10.1115/1.3167723 History: Received September 01, 1983; Revised February 01, 1984; Online July 21, 2009


Stress intensity factors are computed for an inclined subsurface crack in a half space, whose surface is subjected to uniform time-harmonic excitation. The problem is analyzed by determining displacement potentials that satisfy reduced wave equations and specified boundary conditions. The formulation of the problem leads to a system of coupled integral equations for the dislocation densities. The numerical solution of the integral equations leads directly to the stress intensity factors. Curves are presented for the ratios of the elastodynamic and the corresponding elastostatic Mode-I and Mode-II stress intensity factors for various frequencies and various inclinations of the crack with the free surface. For small angles of inclination with the free surface and large crack length-to-depth ratios, strong resonance vibrations of the layer between the crack and the free surface may arise.

Copyright © 1984 by ASME
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