Generalized grain-size dependence of flow stress

Resumo

The grain-size dependence of flow stress upon transition from a micro- to a nanostructured state is analyzed. Characteristic regions with qualitatively different influences of a structure on flow stress are found. Generalized equations have been obtained for the grain-size dependences of yield strength and hardness normalized to Young’s modulus for a wide range of grain sizes using S functions and averaging integrals.