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Scaling Relationships in Nanoindentation

  • Anthony C. Fischer-Cripps
Part of the Mechanical Engineering Series book series (MES)

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. 4.6a and 4.6b, here repeated for convenience:
$$\begin{array}{*{20}{c}} {\sigma = E\varepsilon \quad \varepsilon \leqslant Y/E} \\ {\sigma = K{{\varepsilon }^{x}}\quad \varepsilon \leqslant Y/E} \\ \end{array}$$
(6.1a)
where σ is the applied stress and e is the resulting strain and K is equal to:
$$K = U{\left[ {\frac{E}{Y}} \right]^X}$$
(6.1b)

Keywords

Finite Element Analysis Dimensional Analysis Indentation Depth Indentation Test Indentation Size Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Anthony C. Fischer-Cripps
    • 1
  1. 1.CSIROLindfieldAustralia

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