The Hemispheroidal Inhomogeneity at the Free Surface of an Elastic Half Space

[+] Author and Article Information
D. Kouris

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona 85287

E. Tsuchida

Department of Mechanical Engineering, Saitama University, 255 Shimo-Okubo, Urawa 338, Japan

T. Mura

Department of Civil Engineering, Northwestern University, Evanston, Illinois 60208

J. Appl. Mech 56(1), 70-76 (Mar 01, 1989) (7 pages) doi:10.1115/1.3176068 History: Received November 10, 1987; Revised August 25, 1988; Online July 21, 2009


A series solution is presented for a hemispheroidal elastic inhomogeneity at the free surface of an elastic half space. The loading is either all around tension at infinity, perpendicular to the axis of symmetry of the inhomogeneity, or uniform, nonshear type eigenstrains sustained by the inhomogeneity. The displacement potentials of Boussinesq are used to represent the solution and several numerical calculations are performed to illustrate the results.

Copyright © 1989 by ASME
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