Modeling the dependence of strength on grain sizes in nanocrystalline materials

Autor: Wei He, Sanjeev D Bhole and DaoLun Chen
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Science and Technology of Advanced Materials, Vol 9, Iss 1, p 015003 (2008)
Druh dokumentu: article
ISSN: 1468-6996
1878-5514
Popis: A model was developed to describe the grain size dependence of hardness (or strength) in nanocrystalline materials by combining the Hall–Petch relationship for larger grains with a coherent polycrystal model for nanoscale grains and introducing a log-normal distribution of grain sizes. The transition from the Hall–Petch relationship to the coherent polycrystal mechanism was shown to be a gradual process. The hardness in the nanoscale regime was observed to increase with decreasing grain boundary affected zone (or effective grain boundary thickness, Δ) in the form of Δ−1/2. The critical grain size increased linearly with increasing Δ. The variation of the calculated hardness value with the grain size was observed to be in agreement with the experimental data reported in the literature.
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