Stress Interference in Three-Dimensional Torsion

[+] Author and Article Information
R. A. Eubanks

University of Illinois, Urbana, Ill.; IIT Research Institute, Chicago, Ill.

J. Appl. Mech 32(1), 21-25 (Mar 01, 1965) (5 pages) doi:10.1115/1.3625736 History: Received January 02, 1964; Online September 15, 2011


An explicit series solution is presented for the stress and displacement fields in an elastic body of infinite extent containing two equidiameter spherical cavities. At large distances from the cavities the displacement field coincides with that which arises from pure torsion about the axis of symmetry. Numerical results are presented in graphs which demonstrate the interference of the two sources of stress concentration.

Copyright © 1965 by ASME
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