Concise BEM for State Heat Conduction of FGMs
The thermal conductivity problem of functionally graded plate is studied under different temperature fields by a new concise BEM in this paper. At first, we convert the heat conduction differential equation of functionally graded materials (FGMs) to a homogeneous material thermal conductivity equation by using variable substitution, then the Galerkin boundary integral equation is reduced to be a system of linear equations. Finally we arrive at an internal temperature of objects, and plot the distribution graphics and effects of material parameters on temperature distribution. It proves that the new concise BEM is very effective.
W. Shi and L. L. Ma, "Concise BEM for State Heat Conduction of FGMs", Advanced Materials Research, Vols. 308-310, pp. 473-476, 2011