Dynamic Stresses Around Elliptical Discontinuities

[+] Author and Article Information
K. R. Schroll

Bell Telephone Laboratories, Inc., Whippany, N. J.

S. L. Cheng

Department of Civil Engineering, Newark College of Engineering, Newark, N. J.

J. Appl. Mech 39(1), 133-138 (Mar 01, 1972) (6 pages) doi:10.1115/1.3422601 History: Received October 27, 1969; Revised April 12, 1971; Online July 12, 2010


The influence of an elliptical discontinuity on the stress distribution in an otherwise uninterrupted and unbounded elastic medium subjected to the passage of both P- and SV-waves is examined. The elliptical scatterer is either empty or filled with a rigid and infinitely dense material. Ratios of the maximum stresses on the elliptical scatterer boundary to the maximum stress of the incident wave are computed to demonstrate the effect of dynamic stress concentrations. Results are presented which show the influence on the stresses of the ellipse eccentricity, the normalized wave number as well as the ratio of nondimensional source distance to wavelength.

Copyright © 1972 by ASME
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