Effect of hydrostatic pressure on indentation modulus

W. M. Mook, W. W. Gerberich

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


The high pressures generated at a contact during nanoindentation have a quantifiable effect on the measured indentation modulus. This effect can be accounted for by invoking a Murnaghan equation of state-based analysis where the measured indentation modulus is a function of the hydrostatic component of the stress state which is generated beneath the indenter tip. This approach has implications pertinent to a range of mechanical characterization techniques that include instrumented indentation and quantitative atomic force microscopy (AFM) since these techniques traditionally consider only zero-pressure modulus values during data interpretation. To demonstrate the validity of this approach, the indentation modulus of four materials (fused quartz, sapphire, rutile and silicon) is evaluated using a 1 μm radius conospherical diamond tip to maximum contact depths of 30 nm. The tip area function is independently determined via AFM while the unloading stiffness from the load-displacement data is determined using standard Oliver-Pharr analysis.

Original languageEnglish (US)
Title of host publicationMaterials Research Society Symposium Proceedings - Fundamentals of Nanoindentation and Nanotribology IV
Number of pages6
StatePublished - Nov 7 2008
EventFundamentals of Nanoindentation and Nanotribology IV held at the 2007 MRS Fall Meeting - Boston, MA, United States
Duration: Nov 26 2007Nov 29 2007


OtherFundamentals of Nanoindentation and Nanotribology IV held at the 2007 MRS Fall Meeting
Country/TerritoryUnited States
CityBoston, MA


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