Abstract
Developed is a self-consistent statistical mechanics approach for determining the effective dynamic elastic and diffraction properties of the composites with random structures. The problem is reduced to the model of a single inclusion with a inhomogeneous elastic neighbourhood in a medium with the effective dynamic elastic properties. The inhomogeneous elastic properties and size of the neighbourhood are defined by probabilistic laws for the inclusion distribution in a representative domain. Numerical results are given for the effective dynamic elastic properties and for the effective section of the scattering of the composite with unidirectional hollow fibres.
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