Erratum: “Measurement of local internal friction in metallic glasses” [J. Appl. Phys. 115, 134307 (2014)]

Mapping of elasticity and damping in an α + β titanium alloy through atomic force acoustic microscopy

“…Detailed descriptions of the theory and calculations of the indentation modulus and damping are given elsewhere [ 4 , 23 – 24 ]. In particular for measuring contact damping, the cantilever model must be taken into account [ 8 ], and this has been applied recently to metallic glasses by Wagner et al [ 24 ].…”

“…Detailed descriptions of the theory and calculations of the indentation modulus and damping are given elsewhere [ 4 , 23 – 24 ]. In particular for measuring contact damping, the cantilever model must be taken into account [ 8 ], and this has been applied recently to metallic glasses by Wagner et al [ 24 ]. They have successfully demonstrated a quantitative approach to determine the local internal friction or loss at a nanometer scale, using the evaluation procedure of the cantilevers distributed mass model with damped flexural modes on amorphous PdCuSi metallic glass.…”

“…The solution of the characteristic dispersion equation of the ‘cantilever dynamics’ model was presented in many publications, also in [ 24 ]:…”

“…In Eq. 2 it is neglected that the damping of the cantilever during its motion in air is not the same for the free cantilever and the cantilever in contact [ 24 ]. However, due to the relative high contact damping E″ / E′ , which we observe in our experiments, we neglect this effect.…”