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Based on a nonlinear stick-spiral model, we propose an analytical method to study the strain dependent G-band mode frequency of single-walled carbon nanotubes (SWCNTs) under axial, radial and torsional strain. The present method gives a direct connection between the G-band mode frequency and the external strain. It is shown that G-band mode frequency of a SWCNT is linearly dependent on strain when...
Based on a molecular mechanics model, analytical solutions for the critical buckling strain of single-walled achiral carbon nanotubes under axial compression are obtained. The results show that zigzag tubes are more stable than armchair tubes with the same diameter. Comparison with the results given by continuum mechanics model shows that the continuum mechanics model underestimates the critical buckling...
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