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Metrological Comparison of Indirect Calibration Methods for Nanoindentation: A Bootstrap-Based Approach
Giacomo Maculotti1, Lorenzo Giorio2, Gianfranco Genta1
1Department of Management and Production Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Turin, Italy.
Materials (Basel, Switzerland)
|September 27, 2025
Summary
Indirect calibration methods for nanoindentation, crucial for area shape function and frame compliance, are compared. Indenting pairs of certified reference materials optimizes accuracy and uncertainty in mechanical characterization.
Area of Science:
- Materials Science
- Metrology
- Mechanical Engineering
Background:
- Area shape function and frame compliance are critical in nanoindentation, impacting measurement accuracy and uncertainty.
- Indirect calibration methods, as per ISO 14577-2, are widely used due to practicality and speed.
- A comprehensive metrological framework for comparing these methods was previously lacking.
Purpose of the Study:
- To compare the performance of indirect calibration methods for nanoindentation area shape function and frame compliance.
- To evaluate different calibration alternatives from standards and recent literature.
- To introduce the effect of the nanoindentation dataset on uncertainty estimation using bootstrap methods.
Main Methods:
- Comparison of indirect calibration methods for area shape function and frame compliance.
- Uncertainty estimation utilizing bootstrap estimation.
- Analysis of nanoindentation datasets from certified reference materials.
Main Results:
- Indenting pairs of certified reference materials optimizes accuracy and uncertainty in mechanical characterization.
- A more robust calibration approach is achieved using multiple certified reference materials compared to single-sample methods.
- The study highlights the influence of the nanoindentation dataset on uncertainty estimation.
Conclusions:
- The optimal approach for nanoindentation calibration involves indenting pairs of certified reference materials.
- This method enhances the robustness of calibration experimental conditions.
- The findings contribute to a more reliable metrological framework for nanoindentation measurements.
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