Stress recovery and dynamic analysis of functionally graded materials

A macroelement recovery technique for the strain field of a functionally graded material (FGM), based on the residual dynamic equilibrium equation for elasticity, is proposed. The derivatives are recovered by solving a local variational problem, using the superconvergence points. The basic idea is to utilize post-processing to achieve a more accurate approximation of the stresses while considering the dynamic nature of the problem. The development includes dynamic modeling of FGM and can be applied to direct and inverse problems. A numerical simulation is presented to better demonstrate the proposed methodology.