声明
ABSTRACT
ACKNOWLEDGEMENTS
TABLE OF CONTENTS
LIST OF FIGURES
LIST OF TABLES
AWARD AND PUBLICATIONS
CHAPTER 1 INTRODUCTION
1.1 Overview of Carbon Nanostructures
1.2 Research motivation and objectives
1.3 Layout of thesis
CHAPTER 2 RESEARCH BACKGROUND
2.1 Experimental studies of carbon nanostructures
2.2 Atomistic Simulations
2.3 Continuum models
2.4 Hybrid Approaches
2.5 Concluding remarks
CHAPTER 3 THEORETICAL SCHEME OF QUASI-CONTINUUM APPROACH
3.1 The description of the formed carbon nanostructures from graphite sheets
3.1.1 Atomic structures of CNTs
3.1.2 Atomic structures of CNCs
3.2 The empirical potential
3.3 The quasi-continuum approach
3.3.1 Standard and higher-order Cauehy-Born rule
3.3.2 Higher-order deformation gradient continuum theory
3.4 Elastic properties of SWCNCs
3.4.1 Transformation of SWCNTs and SWCNCs
3.4.2 The definition of chirality of SWCNCs
3.4.3 Elastic properties of SWCNCs
3.5 Concluding remarks
CHAPTER 4 MESH-FREE COMPUTATIONAL FRAMEWORK
4.1 Review of the mesh-free methods
4.2 MK interpolation
4.3 The mesh-free computational framework
4.4 Concluding remarks
CHAPTER 5 STATIC STRUCTURAL RESPONSES OF CARBON NANOSTRUCTURES
5.1 Large deformation of carbon nanostructures
5.2 Computation test ofthe quasi-continuum approach
5.2.1 Axial compression of SWCNTs
5.2.2 Axial compression of SWCNCs
5.3 Buckling and post-buckling behaviors of SWCNTs
5.3.1 Axial buckling and post-buckling behaviors of SWCNTs
5.3.2 Bending buckling behaviors of SWCNTs
5.3.3 Torsional Buckling behaviors of SWCNTs
5.3.4 Hydrostatic pressure applied on the surface of SWCNT
5.4 Buckling and post-buckling behaviors of SWCNCs
5.4.1 Axial compressive buckling behaviors of SWCNCs
5.4.2 The effect of cutting tip’s length on buckling of SWCNCs
5.4.3 Bending buckling and post-buckling behaviors of SWCNCs
5.4.4 Torsional buckling behaviors of SWCNCs
5.5 Concluding remarks
CHAPTER 6 DYNAMICS BEHAVIORS OF CARBON NANOSTRUCTURES
6.1 Overview of the dynamics behaviors of carbon nanostructures
6.2 Analysis of free vibration characteristic of carbon nanostructures
6.2.1 Quasi-continuum model
6.2.2 Atomistie simulation
6.3 Free vibration of SWCNTs
6.3.1 Computational test
6.3.2 The edge effect on the free vibration frequency
6.3.3 Chiral effect and critical diameter
6.4 Free vibration of SWCNCs
6.5 Mass detection of Carbon nanostructures
6.6 Concluding remarks
CHAPTER 7 CONCLUSIONS AND FUTURE WORKS
7.1 Conclusions
7.2 A continuum model for interlayer interaction
7.3 Future works
REFERENCES
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