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The concept of differential hardness in depth sensing indentation

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Published 4 March 2003 Published under licence by IOP Publishing Ltd
, , Citation B Wolf and A Richter 2003 New J. Phys. 5 15 DOI 10.1088/1367-2630/5/1/315

1367-2630/5/1/15

Abstract

Since in-depth sensing indentation load-depth data of the entire loading-unloading cycle are available, more information than a single hardness value and an elastic modulus can be extracted from the experimental data. The conventional hardness H(h) = F(h)/AC(h) and the differential hardness Hd(h) = dF/dAC are calculated as continuous functions of depth h and compared to each other in this paper (F: load, AC: contact area). It turns out that Hd describes the momentary material resistance to deformation, whereas H integrates over deformation states from first tip-sample contact to current penetration h. This difference is particularly important for materials not homogeneous in depth (e.g. layer systems), and for situations where time-dependent external factors influence the momentary deformation resistance. Photoplasticity is considered as an example for the latter.

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