A Dimensional Analysis Model for Geometric Size Effects of Single Crystals
Due to the relatively high surface-to-volume ratio, the surface effect can be significant for micro/nano-scale materials. This paper focuses on geometric size-dependent strength mechanisms of micro/nano-scale metal single crystals. A dimensional analysis model relating surface energy with the geometric size-dependent yield strength is presented and compared with results of microscale uniaxial compression tests on Ni and Au single crystals. The results indicate this model can predict the geometric size effects on the yield strength of micro/nano-scale metal single crystals.
Zhengyi Jiang and Chunliang Zhang
X. L. Chen et al., "A Dimensional Analysis Model for Geometric Size Effects of Single Crystals", Advanced Materials Research, Vols. 97-101, pp. 2184-2187, 2010