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A New Extension of Cauchy–Born Rule for Monolayer Crystal Films

Sheng Lu and Chongdu Cho*

Author Affiliations

Department of Mechanical Engineering, Inha University, Inchon, 402-751, South Korea

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Nanoscale Research Letters 2010, 5:863-867  doi:10.1007/s11671-010-9576-3

Published: 23 March 2010


By combining with the physical concept of inscribed surface, the standard Cauchy–Born rule (CBR) is straightly extended to have a rigorous and accurate atomistic continuum theory for the monolayer crystal films. Resorting to using Tersoff–Brenner potential, the present theory to graphite sheet and single-walled carbon nanotubes (SWCNTs) is applied to evaluate the mechanical properties. The results are validated by the comparison with previously reported studies.

Carbon nanotubes; Cauchy–Born rule; Monolayer crystalline film; Inscribed surface; Mechanical properties