Estimation of elastic properties of porous ceramic using ultrasonic longitudinal wave velocity only

A method for estimation of the elastic moduli of porous ceramics solely based on ultrasonic longitudinal wave velocities is proposed. The method is based on a polynomial correlation between ultrasonic shear wave and longitudinal wave velocities of a given porous material. It is also shown that variations of Poisson's ratios for porous material with longitudinal wave velocities agree with the predictions of Mori-Tanaka mean field approach. The method provides a simplified route to quantitative non-destructive evaluation of the elastic moduli of porous materia