Prediction of micro and nano indentation size effects from spherical indenters

Rashid K. Abu Al-Rub, Abu N.M. Faruk

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


In the present work, a micromechanical model based on dislocation mechanics for predicting indentation size effect from spherical indenters is developed and compared with the most widely used Swadener etal. (2002) model. The key idea proposed here while deriving the model is that a nonlinear coupling between the geometrically necessary dislocations (GNDs) and the statistically necessary dislocations (SSDs) can largely correct the deviation of the Swadener etal. model's prediction from hardness results for small diameter indents. Furthermore, the model can be used in identifying the material length scale from micro-and nano-indentation data.

Original languageBritish English
Pages (from-to)119-128
Number of pages10
JournalMechanics of Advanced Materials and Structures
Issue number1-3
StatePublished - 1 Jan 2012


  • geometrically necessary dislocations
  • indentation size effect
  • length scale
  • micro-indentation
  • nano-indentation
  • statistically stored dislocations


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