Microstructure stabilization in bulk nanocrystalline materials: Analytical approach and numerical modeling: To the 60th anniversary of the Zener treatment of particle impact on grain growth

摘要

It has been shown that complete stability of microstructure. namely, invariability of the mean and maximum grain sizes, can be achieved under the influence of immobile disperse particles. The necessary drag force is inversely proportional to the most probable grain size in the initial microstructure. If particles of the mean radius 2 nm are attached to grain boundary junctions, microstructure stabilization in polycrystal with the most probable grain size 20 nm could be achieved at the particle volume fraction of the order of 0.001.