Green's Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction
نویسندگان
چکیده
Free space Green's functions are derived for graded materials in which the thermal conductivity varies exponentially in one coordinate. Closed form expressions are obtained for the steady state di usion equation, in two and three dimensions. The corresponding boundary integral equation formulations for these problems are derived, and the three-dimensional case is solved numerically using a Galerkin approximation. The results of test calculations are in excellent agreement with exact solutions and nite element simulations.
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