Heat Conduction Problems for Half-Spaces with Transversal Isotropic Gradient Coating

The axisymmetric heat conduction problems of local surface heating for a FGM-coated body are considered. The following types of the coating were considered: a transversal isotropic gradient coating with continuously varying thermal properties; a coating consisting of a finite number of homogeneous transversal isotropic layers with slowly varying thermal properties; a coating consisting of a finite number of representative cells containing two homogeneous layers. The solution for a specially selected multilayer coating was compared with that for a transversal isotropic coating with exponentially varying properties. It has been shown that multilayer coatings with a step change of the thermal properties can be described using a homogenization method with microlocal parameters.