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Elastic fields in double inhomogeneity by the equivalent inclusion method
, Article Journal of Applied Mechanics, Transactions ASME ; Volume 68, Issue 1 , 2001 , Pages 3-10 ; 00218936 (ISSN) ; Sarvestani, A. S ; Sharif University of Technology
2001
Abstract
Consider a double-inhomogeneity system whose microstructural configuration is composed of an ellipsoidal inhomogeneity of arbitrary elastic constants, size, and orientation encapsulated in another ellipsoidal inhomogeneity, which in turn is surrounded by an infinite medium. Each of these three constituents in general possesses elastic constants different from one another. The double-inhomogeneity system under consideration is subjected to far-field strain (stress). Using the equivalent inclusion method (EIM), the double inhomogeneity is replaced by an equivalent double-inclusion (EDI) problem with proper polynomial eigenstrains. The double inclusion is subsequently broken down to...