Numerical modeling methods are used to study plastic deformation and destru
ction of mesoscopic volumes of polycrystalline materials under shock wave l
oading. Calculations explicitly take into account inhomogeneity of the mate
rial structure by ascribing different mechanical properties to various indi
vidual grains. Formation of localized strain bands in a mesoscopic volume i
n thick-walled copper cylinders subjected to high-rate compression is model
ed and the results of this modeling are discussed. The crack development pr
ocess in the mesoscopic volume of a polycrystalline material experiencing s
pallation is simulated.