Abstract
We present a local elasticity measurement from the resonance frequency of a cantilever vibrated at its base. A sharp tip on top of the cantilever is in contact with the sample surface at a servo-controlled constant static force. The advantage of a continuum model for the cantilever vibration over the localized-spring model in the elasticity measurement is proved quantitatively. As an application, Young's modulus of soda lime glass was measured and a smooth radial gradient of Young's modulus of about 29% was observed for the first time on a cross section of a carbon fiber of diameter 7 μm. Further improvement of the independent shear stiffness measurement was proposed by a theoretical analysis of torsional vibration with a boundary condition for the elastically supported tip.
Original language | English |
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Pages (from-to) | S313-S317 |
Journal | Applied Physics A: Materials Science and Processing |
Volume | 66 |
Issue number | SUPPL. 1 |
DOIs | |
Publication status | Published - 1998 Dec 1 |
ASJC Scopus subject areas
- Chemistry(all)
- Materials Science(all)