Abstract
This paper presents a dual reciprocity boundary element method (DRBEM) for solving the steady-state heat conduction problems of functionally gradient materials. The functionally gradient material is modeled as an inhomogeneous one where the heat conduction coefficient is a continuous function of coordinates. The integral equation formulation uses the fundamental solution of Laplace differential equation for a homogeneous material, and hence a domain integral arises in the boundary integral equation. This domain integral is transformed into a boundary integral by using a new set of radial basis functions. The details of the proposed DRBEM are presented, and a computer code is developed for two-dimensional problems. Numerical computation is carried out for several examples, the exact solutions of which are available in the literature. Through comparison of the results obtained by the computer code with the exact ones, the potential usefulness of the proposed DRBEM is demonstrated.
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