 | | 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 |
Archive of Issues
| Total articles in the database: | | 11223 |
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| In English (Mech. Solids): | | 3212 |
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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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ZAMP
23 (3), 434-463 (1972). |
| 10. | W. B. Russel,
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Effect of Fiber Length and Geometry at Dilute Concentrations,"
ZAMP
24 (4), 581-600 (1973). |
| 11. | I. Sevostianov and M. Kachanov,
"Compliance Tensors of Ellipsoidal Inclusions,"
Int. J. Fract.
96 (1), L3-L7 (1999). |
| 12. | K. B. Ustinov and R. V. Goldstein,
"On Application of Classical Eshelby Approach
to Calculating Effective Elastic Moduli of Dispersed Composites,"
Int. J. Fract.
147 (1-4), 55-66 (2007). |
| 13. | L. J. Walpole,
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17 (4), 235-251 (1969). |
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Theory of Elasticity of an Anisotropic Body
(Nauka, Moscow, 1977; Mir Publishers, Moscow, 1981). |
|
| Received |
28 October 2008 |
| Link to Fulltext |
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