The Elastic Inclusion With a Sliding Interface

[+] Author and Article Information
T. Mura, R. Furuhashi

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

J. Appl. Mech 51(2), 308-310 (Jun 01, 1984) (3 pages) doi:10.1115/1.3167617 History: Received May 01, 1983; Revised September 01, 1983; Online July 21, 2009


It is found that when an ellipsoidal inclusion undergoes a shear eigenstrain and the inclusion is free to slip along the interface, the stress field vanishes everywhere in the inclusion and the matrix. It is assumed in the analysis that the inclusion interface cannot sustain any shear traction. There exists a shear deformation that transforms an ellipsoid into the identical ellipsoid without changing its orientation (ellipsoid invariant transformation). This is not true, however, for a spheroidal inclusion. The amount of slip and the associated stress field are calculated for a spherical inclusion for a given uniform eigenstrain εij * .

Copyright © 1984 by ASME
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