Nonlinear Analysis of Oscillatory Indentation in Elastic and Viscoelastic Solids
- 17 August 2006
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 97 (7), 075506
- https://doi.org/10.1103/physrevlett.97.075506
Abstract
Determining the mechanical properties at micro- and nanometer length scales using nanoindentation or atomic force microscopy is important to many areas of science and engineering. Here we establish equations for obtaining storage and loss modulus from oscillatory indentations by performing a nonlinear analysis of conical and spherical indentation in elastic and viscoelastic solids. We show that, when the conical indenter is driven by a sinusoidal force, the square of displacement is a sinusoidal function of time, not the displacement itself, which is commonly assumed. Similar conclusions hold for spherical indentations. Well-known difficulties associated with measuring contact area and correcting thermal drift may be circumvented using the newly derived equations. These results may help improve methods of using oscillatory indentation for determining elastic and viscoelastic properties of solids.Keywords
This publication has 26 references indexed in Scilit:
- Determining the Instantaneous Modulus of Viscoelastic Solids Using Instrumented Indentation MeasurementsJournal of Materials Research, 2005
- Relationships between initial unloading slope, contact depth, and mechanical properties for conical indentation in linear viscoelastic solidsJournal of Materials Research, 2005
- Review of instrumented indentationJournal of Research of the National Institute of Standards and Technology, 2003
- Measurement of the loss tangent of low-density polyethylene with a nanoindentation techniqueJournal of Materials Research, 2000
- The Dynamics of Frequency-Specific, Depth-Sensing Indentation TestingMRS Proceedings, 1998
- An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experimentsJournal of Materials Research, 1992
- A method for interpreting the data from depth-sensing indentation instrumentsJournal of Materials Research, 1986
- The Contact Stresses Between a Rigid Indenter and a Viscoelastic Half-SpaceJournal of Applied Mechanics, 1966
- The contact problem in the linear theory of viscoelasticityInternational Journal of Engineering Science, 1965
- The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profileInternational Journal of Engineering Science, 1965