Features of the mechanical behavior of ultrafine-grained titanium, magnesium, aluminium alloys and copper under quasi-static loading and shock-wave loading with the amplitudes below 10 GPa are investigated using a numerical simulation method. The multi-scale level model is used to describe the mechanical behavior of the alloys. The model accounts for a number of structural factors influencing the mechanical behavior of coarse-grained and ultrafine-grained alloys. The obtained results testify to essential distinction between strain-rate sensitivity of the yield stress of the investigated coarse grained and ultrafine-grained HCP and FCC alloys in the strain rate range of 10
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