Shock Hugoniot Behavior of Single Crystal Titanium using Atomistic Simulations

Atomistic shock simulations are performed for single crystal titanium using four different interatomic potentials at impact velocities ranging from 0.5 km/s to 2.0 km/s. These potentials comprise of three parameterizations in the formulation of the embedded atom method and one formulation of the modified embedded atom method. The capability of the potentials to model the shock deformation and failure behavior is investigated by computing the shock hugoniot response of titanium and comparing to existing experimental data. In addition, the capability to reproduce the shock induced alpha (alpha) to omega (omega) phase transformation seen in Ti is investigated. The shock wave structure is discussed and the velocities for the elastic, plastic and the alpha-omega phase transformation waves are calculated for all the interatomic potentials considered.