Two-stage temperature rise in a thermoviscoplastic half-plane under impact

Summary A thermoviscoplastic constitutive model is used to treat uniaxial shock wave propagation in a material exhibiting rate-sensitive plasticity and thermal softening. Simple relations are obtained for the pressure jump as a function of the density jump, shock speed as a function of particle velocity, and pressure decay behind the shock front. Also, the model predicts a two-stage temperature rise, involving a jump at the shock front followed by a rise due to plastic dissipation (stress decay). The temperature rise and other quantities are predicted in the case of impact of titanium plates.With 4 Figures