Fundamental solutions for steady-state heat transfer in an exponentially graded anisotropic material
نویسندگان
چکیده
Heat conduction in an anisotropic inhomogeneous medium is considered. The conductivities vary exponentially in one fixed but arbitrary direction. The Green’s function corresponding to a point source is constructed. Two methods are used, one using Fourier transforms and one involving certain changes of variables in the governing partial differential equation. Solutions in both two and three dimensions are derived. They can be used as a basic ingredient in the formulation of boundary integral equations for graded anisotropic materials. Mathematics Subject Classification (2000). 35A08, 80M15.
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