Nanoindentation pp 119-123 | Cite as

# Scaling Relationships in Nanoindentation

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## Abstract

An interesting fundamental approach to the analysis of load-displacement data is provided by dimensional analysis [1–9]. Consider the indentation of an elastic–plastic specimen with a rigid conical indenter. The mechanical properties of the specimen can be approximated by a uniaxial stress–strain response given by Eqs. 4.28 and 4.29, here repeated for convenience:

$$ \begin{aligned} \sigma &= E\varepsilon \qquad\quad\varepsilon\le {\rm{Y/E}} \\ \sigma &= K{\varepsilon ^x}\qquad\;\; \varepsilon\ge {\rm{ Y/E}} \end{aligned} $$

(6.1)

where *σ* is the applied stress and e is the resulting strain and *K* is equal to:

$$ K = Y{\left[ {\frac{E}{Y}} \right]^x} $$

(6.2)

## Keywords

Finite Element Analysis Dimensional Analysis Indentation Depth Indentation Test Indentation Size Effect
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## References

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