High speed projectile impact to sand deposit: Soil mechanics interpretation of Hugoniot equation of state

Abstract

An equation of state (EOS) of sand deposit subjected to high speed projectile impact is discussed in this study. We first manifest an affinity between the Hugoniot EOS under shock wave transmission and the e-log p relation under quasi-static deformation. Next we construct a set of equations within a framework of Hugoniot EOS, which describe well the void ratio change due to grain crushing in one-dimensional compression tests at low strain rates. This means that the proposed EOS can be applicable not only to low strain rate but also to high strain rate behavior of sand deposit. The applicability of the proposed EOS is demonstrated by comparing the simulation with two experiments, quasi-static one-dimensional compression tests and high speed projectile impact experiment to sand deposit.