The high-pressure shock wave data obtained in underground nuclear tests and high-power laser experiments are analyzed using a three-term equation of state and the Hugoniot relationship. Apart from the good agreement of the predicted results with experimental data related to samples Pb, Cu, and Au, an obvious deviation of the experimental data of the Fe sample from the corresponding numerical ones is found, and various comparisons of the data imply that the errors are likely to occur in the measurement rather than in the theoretical prediction. Plentiful data pertaining to a set of metal materials on shock adiabats reveal that there exists an asymptotic parabolic relationship between shock pressure or temperature and particle velocity for very strong shock waves, in contrast to the experimentally well-known linear relationship between shock wave velocity and particle velocity. All these are expounded physically in detail.
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