The subject of the paper are periodical layered composites. It is assumed that the components of the composites are homogeneous. The work consists in forming a model of heat conduction in which the Fourier equation with discontinuous highly oscillating coefficients was substituted with an equation with constant coefficients. The influence of the conductor on the temperature is described with additional functions which are determined knowing the averaging temperature. The paper deals with transient problems. Further research will be done on thermal stresses in such cases.

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