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Russian Academy of Sciences
in January 1936
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IssuesArchive of Issues2010-2pp.249-252

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I.Yu. Tsvelodub, "The Eshelby tensor," J. Appl. Math. Mech. 74 (2), 249-252 (2010)
Year 2010 Volume 74 Issue 2 Pages 249-252
Title The Eshelby tensor
Author(s) I.Yu. Tsvelodub (Novosibirsk, Russia,
Abstract The problem of the existence of a tensor that is inverse to the well-known Eshelby tensor, which connects the free homogeneous and hindered strains of an ellipsoidal elastic inclusion undergoing transformation, is investigated. It is shown that this tensor exists for inclusions in the form of oblate and prolate spheroids in isotropic elastic space. Certain applications are considered, in particular problems of determining the stresses in ellipsoidal rigid and rigid plastic inclusions.
Received 15 June 2009
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