Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua
This research aims to study the mechanical properties of single-walled carbon nanotubes. In order to overcome the difficulties of spanning multi-scales from atomistic field to macroscopic space, the Cauchy-Born rule is applied to link the deformation of atom lattice vectors at the atomic level with...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2011
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| Online Access: | https://eprints.nottingham.ac.uk/12211/ |
| _version_ | 1848791455447908352 |
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| author | Zhang, Yu |
| author_facet | Zhang, Yu |
| author_sort | Zhang, Yu |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This research aims to study the mechanical properties of single-walled carbon nanotubes. In order to overcome the difficulties of spanning multi-scales from atomistic field to macroscopic space, the Cauchy-Born rule is applied to link the deformation of atom lattice vectors at the atomic level with the material deformation in a macro continuum level. Single-walled carbon nanotubes are modelled as Cosserat surfaces, and modified shell theory is adopted where a displacement field-independent rotation tensor is introduced, which describes the rotation of the inner structure of the surface, i.e. micro-rotation. Empirical interatomic potentials are applied so that stress fields and modulus fields can be computed by the derivations of potential forms from displacement fields and rotation fields. A finite element approach is implemented. Results of simulations for single-walled carbon nanotubes under stretching, bending, compression and torsion are presented. In addition, Young’s modulus and Poisson ratio for graphite sheet and critical buckling strains for single-walled carbon nanotubes are predicted in this research. |
| first_indexed | 2025-11-14T18:28:47Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-12211 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:28:47Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-122112025-02-28T11:18:07Z https://eprints.nottingham.ac.uk/12211/ Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua Zhang, Yu This research aims to study the mechanical properties of single-walled carbon nanotubes. In order to overcome the difficulties of spanning multi-scales from atomistic field to macroscopic space, the Cauchy-Born rule is applied to link the deformation of atom lattice vectors at the atomic level with the material deformation in a macro continuum level. Single-walled carbon nanotubes are modelled as Cosserat surfaces, and modified shell theory is adopted where a displacement field-independent rotation tensor is introduced, which describes the rotation of the inner structure of the surface, i.e. micro-rotation. Empirical interatomic potentials are applied so that stress fields and modulus fields can be computed by the derivations of potential forms from displacement fields and rotation fields. A finite element approach is implemented. Results of simulations for single-walled carbon nanotubes under stretching, bending, compression and torsion are presented. In addition, Young’s modulus and Poisson ratio for graphite sheet and critical buckling strains for single-walled carbon nanotubes are predicted in this research. 2011-12-16 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/12211/1/thesis.pdf Zhang, Yu (2011) Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua. PhD thesis, University of Nottingham. |
| spellingShingle | Zhang, Yu Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua |
| title | Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua |
| title_full | Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua |
| title_fullStr | Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua |
| title_full_unstemmed | Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua |
| title_short | Single-walled carbon nanotube modelling based on one-and two-dimensional Cosserat continua |
| title_sort | single-walled carbon nanotube modelling based on one-and two-dimensional cosserat continua |
| url | https://eprints.nottingham.ac.uk/12211/ |