The influence of relative position of fibers on the thermal conductivity of unidirectional fiber composites

Fiber composites are widely used in engineering as a construction material due to their favorable mechanical properties. Therefore, the modeling of heat conduction in these composites is relevant. In this paper, calculation relationships are obtained to estimate the effective thermal conductivity of unidirectional fiber composites in a direction perpendicular to the fibers. These relationships take into account the relative position of the fibers. Various fiber arrangements are considered under the assumption of transverse isotropy of a composite with respect to an axis parallel to the fibers. The convergence of the values of lower bounds of the effective thermal conductivity is proved by calculations taking into account the relative position of the fibers on the basis of the theory of mixtures. The proposed relationships can be used to predict the effective thermal conductivity of unidirectional fiber composites in a plane perpendicular to the fibers.

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