Mixed nonstationary problem of heat conduction for a microperiodic two-layered half-space

The paper deals with a mixed nonstationary problem of heat conduction for a microperiodic two-layered half-space. The body is assumed to be initially at zero temperature, the boundary plane is kept at a known temperature for time 0 ≤ t ≤ t0 and is insulated for t > t0. The half-space is composed of periodically repeated two-layered laminae with layering parallel to the boundary. The problem is solved within the framework of homogenized model with microlocal parameters [Cz. Woźniak, A nonstandard method of modelling of thermoelastic periodic composites, International Journal of Engineering Science 25, (1987), pp. 483–499, S.J. Matysiak Cz. Woźniak, On the modelling of heat conduction problem in laminated bodies, Acta Mechanica, 65, (1986), pp. 223–238.]. The influence of thermal and geometric properties of the composite components on the temperature distribution for some special case of the boundary condition is analyzed.