The paper outlines an approach to the analysis of periodically inhomogeneous composites with imperfect contact between the components. The heat-conduction problem for a particulate composite with an infinite matrix and simple cubic lattices of spherical inclusions is solved. Approximate solutions for the effective heat-conductivity coefficient and local heat fluxes at the microlevel are found. The results are obtained for arbitrary conductivity and volume fractions of the components
An approximate solution of the problem of the determination of the effective thermal conductivity of a pile fieM during construction on permafrost is prosed on the basis of asymptotic approaches.
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