| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
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K.B. Ustinov, "Computation of the Energy of an Inhomogeneity: Asymptotics and Their Scope," Mech. Solids. 45 (2), 238-246 (2010) |
Year |
2010 |
Volume |
45 |
Number |
2 |
Pages |
238-246 |
DOI |
10.3103/S0025654410020093 |
Title |
Computation of the Energy of an Inhomogeneity: Asymptotics and Their Scope |
Author(s) |
K.B. Ustinov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, ustinov@ipmnet.ru) |
Abstract |
By passing to the limit in the general solution, we obtain several exact asymptotic formulas for the energy of an inhomogeneity in a body located in an external stress field. The parameters determining the type of the asymptotic behavior are the inclusion semiaxis ratio and the inclusion-matrix elastic modulus ratio. In the case of a large simultaneous deviation of the parameters from unity, we distinguish seven regions corresponding to various successive passages to the limit as these parameters approach zero (or infinity). |
Keywords |
elasticity, inhomogeneity, Eshelby tensor, small parameter |
References |
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|
Received |
28 October 2008 |
Link to Fulltext |
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