Abstract
A nanoscale continuum theory is established to directly incorporate interatomic potentials into a continuum analysis without any parameter fitting. The theory links interatomic potentials and atomic structure of a material to a constitutive model on the continuum level. The theory is applied to study the linear elastic modulus of a single-wall carbon nanotube. The Young's modulus predicted by this nanoscale continuum theory agrees well with prior experimental results and atomistic studies.
Original language | English (US) |
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Pages (from-to) | 3893-3906 |
Number of pages | 14 |
Journal | International Journal of Solids and Structures |
Volume | 39 |
Issue number | 13-14 |
DOIs | |
State | Published - Jul 3 2002 |
Keywords
- Carbon nanotube
- Continuum analysis
- Elastic modulus
- Interatomic potential
ASJC Scopus subject areas
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics