EFFECTS OF DIFFERENT EQUATIONS OF STATE ON THE OBLIQUE SHOCK WAVE REFLECTION IN SOLIDS

The equations of state of solids under high pressure are more complicated than that of gases in a variety of forms. While the existing investigations on the oblique shock wave reflection usually take one of the equations of state, lacking of the comparisons among them. Therefore, this paper aims at the oblique shock wave reflection in solids through shock polar methodology under four different forms of equations of state (principal shock taking with linear shock-particle velocity relationship and second shock taking with Grüneisen equation of state, principal and second shock both taking with shock-particle velocity relationship, principal shock taking with linear shock-particle velocity relationship and second shock taking with stiffened gas equation of state, and principal and second shock both taking with stiffened gas equation of state). The effects of different equations of state on the pressure behind the reflected shock wave are discussed. By conducting the dimensional analysis, we provide an applicable condition for employing a simplified equation of state to achieve high accuracy. Moreover, numerical simulations performed by ANSYS/LS-DYNA software are conducted to validate the results through shock polar methodology. The results of this paper could be helpful for the decision of the equation of state on the oblique shock wave reflection in solids.