Dynamic mechanical response of cellular titanium material

Shock properties of cellular titanium with regular pores were investigated by one-stage gas gun plate impact technique. With the experimental curves caught by the manganin gauge, the attenuation effect of shock wave propagating through the cellular titanium samples and the adiabatic impact D-u relationship between shock wave velocity and the practical velocity after shock wave are obtained. According to the experiments, a numerical model is built in nonlinear dynamic finite element software. The pressure-time curves of shock wave and the adiabatic relation are obtained from the numerical results, and the polynomial Grüneisen equation of state of cellular titanium is given by numerical simulation. Moreover, with Taylor expansion of the squeezing degree μ, the coefficient of the polynomial Grüneisen equation is deduced by using shock wave relations and the adiabatic relation.