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).
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Original Russian Text © K.B. Ustinov, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 2, pp. 103–113.
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Ustinov, K.B. Computation of the energy of an inhomogeneity: Asymptotics and their scope. Mech. Solids 45, 238–246 (2010). https://doi.org/10.3103/S0025654410020093
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DOI: https://doi.org/10.3103/S0025654410020093