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• W2078045457 abstract "We derive a new perturbation expansion for the effective conductivity tensor sigma/sub e/ of a macroscopically anisotropic d-dimensional two-phase composite of arbitrary microstructure. The nth-order tensor coefficients ssA/sub n//sup (//sup i//sup )/ of the expansion (termed n-point microstructural parameters) are given explicitly in terms of integrals over the set of n-point probability functions (associated with the ith phase) which statistically characterize the microstructure. Macroscopic anisotropy arises out of some asymmetry in the microstructure, i.e., due to statistical anisotropy (e.g., a distribution of oriented, nonspherical inclusions in a matrix, layered media, such as sandstones and laminates, etc.). General and useful properties of the n-point microstructural parameters are established, and contact is made with the formal results of Milton. We then derive rigorous nth-order bounds on sigma/sub e/ (from our perturbation expansion) that depend upon the n-point parameters ssA/sub n//sup (//sup i//sup )/ for n = 1, 2, 3, and 4. This is the first time that such bounds (for n>1) have been explicitly given in terms of the ssA/sub n//sup (//sup i//sup )/." @default.
• W2078045457 created "2016-06-24" @default.
• W2078045457 creator A5043039170 @default.
• W2078045457 creator A5062172005 @default.
• W2078045457 date "1989-03-01" @default.
• W2078045457 modified "2023-10-17" @default.
• W2078045457 title "Effective conductivity of anisotropic two-phase composite media" @default.
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• W2078045457 doi "https://doi.org/10.1103/physrevb.39.4504" @default.
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