Pressure and temperature dependence of shear modulus and yield strength for aluminum, copper and tungsten under shock compression

Experimental data of shear modulus and yield strength of shocked aluminum, copper and tungsten were analyzed systematically. Comparison between these data and the results calculated by using SCG (Steinberg-Cochran-Guinan) constitutive model (J. Appl. Phys. 5l(3):1498) shows that shear modulus and yield strength have similar dependence on pressure and temperature under conditions for aluminum below 50 GPa, copper below 100 GPa and tungsten below 200 GPa shock pressures. So the assumptions in the SCG model, Yp prime /Y0 = Gp prime /G0, YT prime /Y0 = GT prime /G0, are approximately correct in these pressure ranges, and the SCG model can be used to describe the shear modulus and yield strength of these metals at high shock pressure and high temperature.