An atomistic-based finite deformation membrane for single layer crystalline films

@inproceedings{Arroyo2002AnAF,
  title={An atomistic-based finite deformation membrane for single layer crystalline films},
  author={M. Isabel Arroyo and Ted Belytschko},
  year={2002}
}
A general methodology to develop hyper-elastic membrane models applicable to crystalline films one-atom thick is presented. In this method, an extension of the Born rule based on the exponential map is proposed. The exponential map accounts for the fact that the lattice vectors of the crystal lie along the chords of the curved membrane, and consequently a tangent map like the standard Born rule is inadequate. In order to obtain practical methods, the exponential map is locally approximated. The… CONTINUE READING

Similar Papers

Citations

Publications citing this paper.
SHOWING 1-10 OF 91 CITATIONS

Study of Carbon Nanotube Based on Higher Order Cauchy-Born Rule

VIEW 14 EXCERPTS
CITES METHODS, RESULTS & BACKGROUND
HIGHLY INFLUENCED

A Quasicontinuum Method for Deformations of Carbon Nanotubes

VIEW 6 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

An atomistic-based continuum theory for carbon nanotubes : analysis of fracture nucleation

Peng Zhanga, Hong Jianga, Yuewang Huanga, P. H. Geubelleb, K. C. Hwangc
  • 2004
VIEW 9 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

2003
2019

CITATION STATISTICS

  • 14 Highly Influenced Citations