The Stress Field in an Elastic Half Space Having a Spheroidal Inhomogeneity Under All-Around Tension Parallel to the Plane Boundary

[+] Author and Article Information
E. Tsuchida, T. Mura

Department of Civil Engineering and Materials Research Center, The Technological Institute, Northwestern University, Evanston, Ill. 60201

J. Appl. Mech 50(4a), 807-816 (Dec 01, 1983) (10 pages) doi:10.1115/1.3167150 History: Received March 01, 1983; Revised June 01, 1983; Online July 21, 2009


Stress distributions are evaluated for a semi-infinite elastic body having a spheroidal inhomogeneity under an all-around tension (axisymmetric uniform tension) at infinity. Boussinesq’s potential functions are used for the analysis. A special technique is employed for the traction-free condition on the free surface, where the ordinary Legendre functions are expressed in terms of the Bessel functions in cylindrical coordinates. A closed-form expression for the stress concentration factor is found for a special case of a needlelike inhomogeneity.

Copyright © 1983 by ASME
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