Green's function for steady-state heat conduction in a bimaterial composite solid

The derivation of a Green's function for steady-state heat conduction in an isotropic bimaterials is presented. The Green's function is obtained throug h a Fourier representation to obtain both free-space, singular parts and re gion-dependent, regular parts. To obtain the region-dependent parts of the Green's function, the homogeneous solution is written using the virtual for ce method. Full details of the necessary inversion integrals are provided. The Green's function is shown to degenerate to the usual logarithmic potent ial for steady-state heat conduction in isotropic solids. The normal deriva tives necessary for implementation of the Green's function in boundary inte gral equations are provided, and an example calculation of the Green's func tion in a quartz-copper material system is presented.