Abstract
This paper is devoted to the calculation of effective elastic properties of a medium containing a random field of ellipsoidal inhomogeneities. It is assumed that the centers of the inclusions (the inhomogeneities) form a random spatial lattice, i.e., the field of inhomogeneities considered is strongly correlated. The interaction between the inhomogeneities is taken into account within the frame-work of the self-consistent field approximation. It hence turns out that the symmetry of the tensor of the elastic properties of the medium is determined by the symmetry of the elastic properties of the inclusion matrix, as well as by the symmetry of the spatial lattice formed by the mathematical expectations of the centers of the inclusions.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 194–203, July–August, 1975.
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Kanaun, S.K. Self-consistent field method in the problem about the effective properties of an elastic composite. J Appl Mech Tech Phys 16, 649–657 (1975). https://doi.org/10.1007/BF00858312
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DOI: https://doi.org/10.1007/BF00858312