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Simplified Area Function for Sharp Indenter Tips in Depth-sensing Indentation

  • Jeremy Thurn (a1) and Robert F. Cook (a1)
  • DOI:
  • Published online: 01 January 2011

A two-parameter “area function” characterizing the depth-dependent projected area of an indenter was introduced and applied to a Berkovich tip. The two parameters have physical meaning, corresponding to the effective tip radius and effective cone angle. The indenter tip was calibrated on a commercial load-controlled Nano Indentert® XP (MTS Systems Corp., Eden Prairie, MN). All calibrations were carried out using the procedure of Oliver and Pharr [J. Mater. Res. 7, 1564 (1992)] using several homogeneous materials. Plane-strain modulus and hardness values deconvoluted from indentation load–displacement traces using the calibrated two-parameter area function compared well with the values determined using the empirical eight-parameter area function of Oliver and Pharr.

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5.G.M. Pharr , W.C. Oliver , and D.R. Clarke , J. Elect. Mater. 19, 881 (1990).

6.G.M. Pharr , W.C. Oliver , and D.S. Harding , J. Mater. Res. 6, 1129 (1991).

7.V. Domnich , Y. Gogotsi , and S. Dub , Appl. Phys. Lett. 76, 2214 (2000).

10.Y.Y. Lim and M.M. Chaudhri , Philos. Mag. A 79, 2979 (1999).

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Journal of Materials Research
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