A New Extension of Cauchy-Born Rule for Monolayer Crystal Films
S. Lu and C. Cho
Nanoscale Research Letters, 5, 863–867 (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.