The combined asymptotic–tolerance model of heat conduction in a skeletal micro-heterogeneous hollow cylinder

In this paper a new model describing heat transfer in cylindrical composite conductor with functionally graded macro-structure and deterministic tolerance-periodic micro-structure is presented. The formulation of this model will be based on the known Fourier’s theory of heat conduction and additional hypothesis of the tolerance averaging approach (Woźniak et al., 2008, 2010). The comparison of the obtained new model with tolerance model and finite element method will be shown. The general results will be applied to analysis of some special problems.