The concept of differential hardness in depth sensing indentation

B Wolf, A Richter - New Journal of Physics, 2003 - iopscience.iop.org
B Wolf, A Richter
New Journal of Physics, 2003iopscience.iop.org
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 H d (h)= dF/dA C 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 H d
describes the momentary material resistance to deformation, whereas H integrates over …
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)/A C (h) and the differential hardness H d (h)= dF/dA C are calculated as continuous functions of depth h and compared to each other in this paper (F: load, A C: contact area). It turns out that H d 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 (eg 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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