A Jet Penetration Model Incorporating Effects of Compressibility and Target Strength

Osipenko and Simonov[1], developed a model of compressible jet penetration that is self-consistent in that the same Hugoniot relation, Us = C0 + S1Up, was used both to describe the shock that occurs in each material at high velocities and to derive the equation of state of each material. Flis[2], extended this to a quadratic Hugoniot relation and a non-constant specific heat; comparison of model predictions with hydrocode computations of copper jets penetrating polymethyl methacrylate (without strength effects) showed excellent agreement. Here, this model is extended to include also target strength effects, in the manner of the models of Eichelberger[3], , Alekseevskii[4], , and Tate[5]. With adjustment of the value of target resistance Rt, the model can be well fit to results of hydrocode computations over a wide range of materials and jet velocities.