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The average strain rate, <_c>, can be estimated by \_c [ % o\Vorz [ , where is the average CNT velocity in the axial z-direction and r is the radial distance. Then, a nanoscale analog of the Newton’s law for steady CNT sliding is given by [1, 12, 39–41, 47] \srz [ ¼ leff o\Vz [ ; or ð11Þ where μeff is an effective viscosity for the CNT/CNT interfacial sliding and the strain z[ rate can be approximated as o\Vorz [ % \V hVdW with the change in sliding velocity across the interfacial separation,hVdW , estimated as the average CNT velocity, .

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Molecular Modeling and Simulation of Physical Properties and Behavior of Low-Dimensional Carbon Allotropes Carbon Nanotubes, Deformation and Fracture Wen-Hwa Chen and Hsien-Chie Cheng Abstract This chapter presents theoretical foundations and results of molecular modeling and simulation of carbon nanotubes, evaluation of their static and dynamic mechanicalproperties, radial buckling and deformation of the single wall carbon nanotubes (SWCNTs), their radial breathing vibrations, thermal effects and vibration modes.

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