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Updated: Sep 22, 2025

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Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
Published on: December 2, 2022
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Bridging Fidelities to Predict Nanoindentation Tip Radii Using Interpretable Deep Learning Models
Claus O W Trost1, Stanislav Zak1, Sebastian Schaffer2,3
1Erich Schmid Institute of Materials Science, Austrian Academy of Sciences, Jahnstrasse 12, 8700 Leoben, Austria.
Summary
Accurate nanoindentation measurements require precise tip radius characterization. This study introduces a data fusion method using machine learning to estimate tip radii in situ, improving data evaluation for miniaturized materials.
Area of Science:
- Materials Science
- Mechanical Engineering
- Computational Science
Background:
- Miniaturized materials require precise characterization.
- Nanoindentation is a key technique for measuring mechanical properties.
- Tip wear in nanoindentation affects measurement accuracy.
Purpose of the Study:
- To develop a method for in situ tip radius estimation in nanoindentation.
- To improve the accuracy of nanoindentation measurements.
- To interpret machine learning models for physical indentation phenomena.
Main Methods:
- A data fusion approach combining finite element simulations and experimental data.
- Utilizing an interpretable multi-fidelity deep learning model.
- In situ estimation of tip radii.
Main Results:
- The developed method accurately estimates tip radii in situ.
- The interpretable deep learning models capture physical indentation phenomena.
- Improved data evaluation for nanoindentation measurements.
Conclusions:
- The data fusion and deep learning approach offers a robust solution for tip radius characterization.
- This method enhances the reliability of nanoindentation for advanced materials.
- Accurate tip radius estimation is crucial for precise materials characterization.

