The size effects upon shock plastic compression of nanocrystals

Abstract

For the first time a theoretical analysis of scale effects upon the shock plastic compression of nanocrystals is implemented in the context of a dislocation kinetic approach based on the equations and relationships of dislocation kinetics. The yield point of crystals τ_y is established as a quantitative function of their cross-section size D and the rate of shock deformation as τ_y ~ ε^2/3D. This dependence is valid in the case of elastic stress relaxation on account of emission of dislocations from single-pole Frank–Read sources near the crystal surface.