Resonance Effects for a Crack Near a Free Surface

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

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

J. Appl. Mech 51(1), 65-70 (Mar 01, 1984) (6 pages) doi:10.1115/1.3167598 History: Received January 01, 1983; Revised June 01, 1983; Online July 21, 2009


Stress intensity factors are computed for a horizontal subsurface crack that is subjected to 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. At specific values of the frequency, a resonance effect is observed and a correlation with the natural frequencies calculated by a Timoshenko plate theory for the layer between the crack and the free surface is noted.

Copyright © 1984 by ASME
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