Functionally Graded Materials

Thermoelastic simulation of functionally graded materials is practically important for engineers. Here, the extension and assembly of our two previous papers (Computational Mechanics 2006, 38, p51-60; Engineering Analysis with Boundary Elements 2008, 32, p704-712) is presented to evaluate the transient temperature and stress distributions in two-dimensional functionally graded solids. In this chapter, the analog equation method is used to obtain an equivalent homogeneous system to the original nonhomogeneous governing equation, after which radial basis functions and fundamental solutions are used to construct the related approximated solutions of particular part and complementary part, respectively. Finally, all unknowns are determined by satisfying the governing equations at interior points and boundary conditions at boundary points. Numerical experiments are performed for different 2D functionally graded material problems, and the meshless method described in this chapter is validated by comparing available analytical and numerical results. * Corresponding author, Email: [email protected]; Fax: +61 2 61250506 Hui Wang and Qing-Hua Qin 124