Micromechanical Study of Particulate Reinforced Composites

Particulate reinforced composites include functionally graded materials that are to be exposed to extremely high temperatures at one side and extremely low temperature at another side. In this paper, the steady-state temperature field in particulate reinforced composites is derived using the Green’s function expressed by a linear combination of the eigenfunctions for the given geometry and the boundary conditions. The trial functions that are used to construct the Green’s functions are those that warrant continuous temperature and heat flux across the material boundary (heat-flux-conserving trial functions). The solution by the proposed method is compared to the finite element solution for accuracy.