Journal
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume 74, Issue 3, Pages 447-454Publisher
ASME
DOI: 10.1115/1.2338052
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Using a tensor virial method of moments, an approximate solution to the relaxed elastic state of embedded ellipsoidal inclusions is presented that incorporates surface/interface energies. The latter effects come into prominence at inclusion sizes in the nanometer range. Unlike the classical elastic case, the new results for ellipsoidal inclusions incorporating surface/interface tension are size-dependent and thus, at least partially, account for the size-effects in the elastic state of nano-inclusions. For the pure dilatation case, exceptionally simple expressions are derived. The present work is a generalization of a previous research that addresses simplified spherical inclusions. As an example, the present work allows us, in a straightforward closed-form manner the study of effect of shape on the size-dependent strain state of an embedded quantum dot.
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