WIT Press


Multiple Reciprocity Boundary Face Method For Transient Heat Conduction In Functionally Graded Materials

Price

Free (open access)

Paper DOI

10.2495/BEM360151

Volume

56

Pages

10

Page Range

167 - 176

Published

2014

Size

704 kb

Author(s)

Shuaiping Guo, Guangyao Li & Jianming Zhang

Abstract

Three dimensional functionally graded material is presented. It is assumed that the thermal conductivity varies exponentially along one direction. The heat generation and non-uniform initial distribution can be considered in the simulation. In the process of solving this diffusion problem numerically, the Laplace transform will be used to remove the time dependence of the problem. And the multiple reciprocity formulation of the modified Helmholtz fundamental solutions is used to convert the domain integral into boundary integrals. The results of test calculations are in agreement with exact solutions and finite element method simulations. Keywords: transient heat conduction, functionally graded materials, boundary face method, Laplace transformation, multiple reciprocity method.

Keywords

transient heat conduction, functionally graded materials, boundary face method, Laplace transformation, multiple reciprocity method