The Malvern's theory is discussed which was proposed to explain the propagation of longitudinal plastic waves in the rate-dependent materials, comparing with the Karman's theory. Especially, we discuss whether the Malvern's theory can explain the propagation of plactic waves in various pre-strained alluminum.And the four elements rheological elastic-viscoplastic model is considered to illustrate the phenomena.The main results obtained are as follows. 1) The Malvern's theory predicts on plastic front.And this prediction coindes with the experimental results.This fact suggests the material posseses viscocity.2) The propagation velocities of plastic strains calculated from the Malvern's theory coincide with the experimental results for two kinds of pre-strained alluminum, although this theory overestimates the velocity of the small strain.3) The dynamic stress-strain curves in various distance from the impact end are calculated from the Malvern's theory.
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