On heat conduction in a semi-infinite laminated layer. Comparative results for two approaches

The paper deals with the heat conduction in a semi-infinite laminated layer. The nonhomogeneous body is assumed to be composed of periodically repeated two-layered laminae. The boundary perpendicular to the layering is subjected to the acting of normal heat flux with parabolic distribution. The free exchange of heat with the surroundings is assumed on the remaining parts of the boundary. The problem is solved by using two approaches: (1°) the formulation basing on the classical model of heat conduction with the continuity conditions on interfaces, and (2°) the homogenized model with microlocal parameters (cf. Matysiak, Woźniak, Acta Mech. (1986)). The results obtained on both ways are compared and some adequate conclusions connected with the possibilities of applications of the homogenized model with microlocal parameters are presented.