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Updated: Nov 7, 2025

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Theoretical Justification of Single-Ended Dislocation-Source-Controlled Deformation of Micropillar fcc Crystals
Shin Takeuchi1, Keiichi Edagawa2, Yasushi Kamimura2
1Professor Emeritus of Tokyo University of Science, Shinjuku-ku, Tokyo 162-8601, Japan.
Abstract:
It was established at the beginning of the 21st century that the critical resolved shear stress of small-sized (diameter from 50 nm to 10 μm) metallic crystals fabricated from bulk crystals increases drastically with decreasing specimen diameter. Dou and Derby [Scr. Mater. 61, 524 (2009)SCMAF71359-646210.1016/j.scriptamat.2009.05.012] showed that, the critical shear stresses of small-sized single crystals of various fcc metals obeyed a universal power law of specimen size with an exponent of -0.66. In this study, we succeeded in reproducing almost perfectly the above universal relation without any adjustable parameters, based on a deformation process controlled by the operation of single-ended dislocation sources.
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