摘要
The authors proposed a plausible explanation for the deviation of experimental data for sub-micron polycrystals from the Hall-Fetch relation by introducing the configuration entropy. The present paper extends the previous two dimensional analysis to the three-dimensional case. The statistical distribution of dislocation lengths within a spherical grain and the bow-out of dislocations are considered. According to Ashby's model, analyses are pursued for the statistically stored dislocations and geometrically necessary dislocations, respectively. It is confirmed that the configuration entropy model can predict the abnormal Hall-Fetch dependence for grain sizes in the sub-micron range.
The authors proposed a plausible explanation for the deviation of experimental data for sub-micron polycrystals from the Hall-Fetch relation by introducing the configuration entropy. The present paper extends the previous two dimensional analysis to the three-dimensional case. The statistical distribution of dislocation lengths within a spherical grain and the bow-out of dislocations are considered. According to Ashby's model, analyses are pursued for the statistically stored dislocations and geometrically necessary dislocations, respectively. It is confirmed that the configuration entropy model can predict the abnormal Hall-Fetch dependence for grain sizes in the sub-micron range.
基金
The project supported by the National Natural Science Foundation of China (19891180-01)
