Finite Difference Analysis of ۲D Stress Wave Propagation in Two Dimensional Functionally Graded Ceramics-Metals Composites

In this study, a finite difference method is presented for longitudinal stress wave propagation analysis in functionally graded ۲D plane strain media. The plane material consists of two ceramics (SiC and Al۲O۳) and two metals (Al ۱۱۰۰ and Ti-۶A۱-۴V (TC۴)) with power‐law variation for mechanical properties in terms of volume fractions of the constituents. Firstly, the governing equations of wave propagation in the functionally graded plane strain media were derived in Cartesian coordinate. It’s assumed that elastic module, density, and Poisson’s ratio are variable in all of the media. Secondly, the finite difference method was used to discretize the equations. Time step size was obtained using the von Neumann stability approach. The materials distribution effects are studied in different states and history of stress, strain, and displacement. To validate the numerical simulation, stress is compared with theoretical equations in special states. Results show that the wave propagation behavior is considerably influenced by material composition variation.

کلیدواژه ها:

Stress wave propagation ، Finite Difference ، FGM ، Ceramic-Metal Composite