title: A new extension of cauchy-born rule for monolayer crystal films.
abstract: 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.
authors.affiliation: Department of Mechanical Engineering, Inha University, Inchon, 402-751, South Korea. cdcho@inha.ac.kr.
authors.forename: Sheng
authors.initials: S
authors.lastname: Lu
authors.forename: Chongdu
authors.initials: C
authors.lastname: Cho