Finite Difference Simulation of Elastic Wave Propagation in Continuously Nonhomogeneous Materials

Propagation of stress and displacement waves in onedimensional Functionally Graded (FG) media due to mechanical impact is investigated. Governing equations of FG slab due to impact loading is obtained, and numerical method which is based on Finite Difference Method (FDM) is applied to simulate displacement and stress wave propagation in one-dimensional FG media with different boundary conditions. Furthermore, thespeed of displacement wave in different material constants is shown, and the effects of these constants on speed and amplitude of stress and displacement waves are studied.

Keywords:

Elastic wave propagation , Functionallygraded material , numerical simulation , Impact loading