Data of refined perturbation growth simulations of the three-layer cylindrical liner systems, tested during experiments with DEMGs (Disk Explosive Magnetic flux compression Generators) to study the strength properties of copper and polyethylene at shockless pressures up to~15 GPa, and calculated performance data of the same liner systems for the Atlas experiments to study the strength properties of copper at shockless compression to~40 GPa are presented. The feasibility of similar strength experiments with quasi-isentropic material compression to~2000 GPa using DEMGs is demonstrated.