On the Dundurs Correspondence Between Cavities and Rigid Inclusions

[+] Author and Article Information
X. Markenscoff

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411

J. Appl. Mech 60(2), 260-264 (Jun 01, 1993) (5 pages) doi:10.1115/1.2900787 History: Received December 03, 1991; Revised June 29, 1992; Online March 31, 2008


In plane elasticity the solutions of the stress field of rigid inclusion problems yield the solutions of cavity problems loaded by uniform shear tractions σ = 2μ (Ω − ω0 ) |κ = −1 where Ω is the rotation of the inclusion and ω0 the rotation of the material (evaluated at κ = −1, κ being the Kolosov constant). It is proved that if the limit of the stress field for the inclusion problem exists at κ = −1, then it corresponds to a constant rotation field.

Copyright © 1993 by The American Society of Mechanical Engineers
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