A model of size effects in nano-indentation

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Indentation Hardness Measurements at Macro-, Micro-, and Nanoscale: A Critical Overview (2017, background): “Other authors relate ISE to the intrinsic structural factors of the tested specimens like high elastic recoveries, pileup, lack of dislocations at small indentations, work hardening, and the presence of grain precipitates [71].”
Effect of surface roughness on nanoindentation test of thin films (2008, positive): “This novel method has been used to investigate the nanoindentation test of defect-free single crystals and proven capable of implementing large-scale simulations without losing calculation precision [23–25].”
On the uniqueness and sensitivity of indentation testing of isotropic materials (2013, background): “, 2007) and size effect (increase in hardness at shallow indentation depths) arising from increase in the density of dislocations (Huang et al., 2006).”
Review of Nanoindentation Size Effect: Experiments and Atomistic Simulation (2017, methodology): “[99] using a cap for GND density versus the experimental results in Ir and MgO = 9.”