2004
DOI: 10.1134/1.1825096
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Measurement of the elastic moduli of dense layers of oriented carbon nanotubes by a scanning force microscope

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Cited by 10 publications
(8 citation statements)
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“…A linear variation between the square of the change in resonant frequency shift (Δf r ) 2 of the cantilever-tip probe with vertical displacement (z) is equal to the parameter α 2 . It is well demonstrated (Useinov, 2004;Gogolinski et al, 2004) that α is directly proportional to E* through a power-law relationship, i.e. α equals (E*) n where n ≈ ½.…”
Section: Mechanical Property Measurementsmentioning
confidence: 99%
See 1 more Smart Citation
“…A linear variation between the square of the change in resonant frequency shift (Δf r ) 2 of the cantilever-tip probe with vertical displacement (z) is equal to the parameter α 2 . It is well demonstrated (Useinov, 2004;Gogolinski et al, 2004) that α is directly proportional to E* through a power-law relationship, i.e. α equals (E*) n where n ≈ ½.…”
Section: Mechanical Property Measurementsmentioning
confidence: 99%
“…A second mechanical test method is the tapping mode (Useinov, 2004;Gogolinski et al, 2004) of an atomic force microscope. This method is used to provide an independent confirmation of the nanoindentation elastic modulus measurements for several samples.…”
Section: Mechanical Property Measurementsmentioning
confidence: 99%
“…This generalized expression can accommodate the most basic form of a nonlinear relationship between * and , as is commonly found in experimental measurements. A two-term Taylor series expansion [24,25] for the solution of the Hertz-contact condition between tip and surface yields an exponent value of one, that is, a linear relationship. In the next section, the more satisfactory formulation of a generalized nonlinear relationship between * and will be seen to require additional terms in the Taylor series expansion.…”
Section: Tapping Mode Experimentmentioning
confidence: 99%
“…The dynamic behavior of the indenter probe in contact with the surface is derived from the equation of motion and the equation for the frequency of oscillation of the system. A formulation of the -parameter is determined [24,25] from a Taylor series expansion of the equations to the Hertz-contact model for the variation of Δ with as…”
Section: Tapping Mode Experimentmentioning
confidence: 99%
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