2013 年 79 巻 805 号 p. 1793-1804
Homogeneous heat conduction analysis can be easily solved by means of the boundary-element method. However, domain integrals are generally necessary to solve the heat conduction problem in non-homogeneous and functionally gradient materials. This paper shows that the three-dimensional heat conduction problem in non-homogeneous and the functionally gradient materials can be solved approximately without a domain integral by the triple-reciprocity boundary element method. In this method, the distribution of domain effects is interpolated by integral equations. In this paper, heat conduction analysis is carried out for laminated materials and a particle-dispersed composite as special cases of functionally gradient materials. The same triple-reciprocity method is used for the analysis of functionally gradient materials, the laminated materials and the particle-dispersed composite. A new computer program is developed and applied to several problems.