Estimation of effective heat conductivity of the textured composite with transverse isotropic ellipsoidal inclusions by the self-coupling method

The paper presents a mathematical model of thermal interaction between transversal isotropic inclusions of a spheroidal shape and a homogeneous medium. This model is built for estimating the effective thermal conductivity tensor components of a representative element of the composite structure containing these inclusions. Both the model and the self-coupling method allow calculating the effective thermal conductivity coefficients of a representative element. The coefficients are averaged according to the given texture function of the composite. The authors obtained some calculation correlations for the case of the conical texture including scattering. Quantitative analysis of these correlations is done. The correlations can be used for estimating the effective thermal conductivity tensor components of the textured composite with ellipsoidal inclusions (including those of both plate and needle shapes which feature some nanostructural elements).

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