Temperature solution in composites by domain decomposition.

This paper considers the conduction of heat in composite media in the steady-state. The original domain is subdivided into part domains and it is investigated how a part domain influences the complementary structure and the temperature field. This can be represented by two interfacial effects. Firstly, a part domain acts as a perfect thermal sink which effect is described by a homogeneous interface condition of the first kind on its interface(s), which enables to separate the part domains and to establish a temperature part solution within them independently. Secondly, the temperature field is corrected for the finite conductivity of the part domains which effect is described by re-forming the original structure and feeding back the opposite of the fluxes, which had been “sunk” previously, at the interfaces. At this step, all the other external and internal excitations are homogenized. A general, non-iterative procedure for obtaining the steady temperature field in composite media is thus also established. Practical applications of the developed procedure are discussed, e.g., improvements and extension of analytical and coupled (numerical combined with analytical) solution techniques for the heat equation. An illustrative example is also presented. [ABSTRACT FROM AUTHOR]