On axisymmetric heat conduction problem for FGM layer on homogeneous substrate

The paper deals with the problem of heat conduction in the FGM layer with heat conductivity coefficient dependent on depth from boundary surface. The non-homogeneous layer is ideally bounded with homogeneous half-space with constant heat conductivity coefficient. The boundary plane is heated by: a) given temperature as a function of radius r, or b) given heat flux as a function of radius r. The Hankel transform method is applied to obtain a solution of formulated problem. The influence of thermal and geometric properties of FGM layer on temperature distributions in the considered bodies was investigated.