Three-dimensional analysis of scale dependence of sub-micron polycrystals due to configuration entropy |
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Authors: | Yang Qiang Yang Wei |
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Institution: | (1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
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Abstract: | The authors proposed a plausible explanation for the deviation of experimental data for sub-micron polycrystals from the Hall-Petch
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-Petch
dependence for grain sizes in the sub-micron range.
The project supported by the National Natural Science Foundation of China (19891180-01) |
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Keywords: | Hall-Petch relation dislocations plastic yield phenomena |
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