A nano-indentation model for spherical indenters

Y. Huang*, X. Feng, G. M. Pharr, K. C. Hwang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


A model is developed for nano-indentation with spherical indenters. It is based on the Taylor dislocation model and is an extension of Qu et al's (2006 Int. J. Plast. 22 1265-86) micro-indentation model for spherical indenters to nano-indentation. For relatively large indenters (e.g. radii on the order of 100 νm), the present model degenerates to Qu et al (2006 Int. J. Plast. 22 1265-86). For small indenters (e.g. radii on the order of 10 νm), the maximum allowable geometrically necessary dislocation (GND) density is introduced to cap the GND density such that the latter does not become unrealistically high for small indenters. The present nano-indentation model agrees well with the indentation hardness data of iridium for both nano-and micro-indentation.

Original languageEnglish (US)
Article numberS19
Pages (from-to)S255-S262
JournalModelling and Simulation in Materials Science and Engineering
Issue number1
StatePublished - Jan 1 2007

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications


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