Nonlinear Heat Transfer Analysis for FGMs by SPH

Particle methods such as Smoothed Particle Hydrodynamics (SPH) or Moving Particle Semiimplicit Method (MPS), etc., are powerful numerical techniques for simulating various physical phenomena, not only those large deformation problems but also nonlinear ones. On the other hand, functional graded materials (FGMs) are studied much for their excellent properties especially under severe thermal loads. In this study, the heat transfer problem is solved by SPH for FGMs in which the thermal conductivity is a function of the spatial coordinates and the temperature, both the steady state and transient cases are discussed, under various boundary conditions. Several calculations are performed to test the validity of the formulation. As a practical use, a problem of FGM cylindrical plates subjected to thermal shock is calculated, in which the thermal conductivity is temperature dependent and the heat transfer coefficient varies in the radial direction. The results are compared with those from other methods, as well as the experimental data