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Updated: Jun 14, 2025

Quantitative Hardness Measurement by Instrumented AFM-indentation
Published on: November 22, 2016
Inverse Method to Determine Parameters for Time-Dependent and Cyclic Plastic Material Behavior from Instrumented
Hafiz Muhammad Sajjad1, Thomas Chudoba2, Alexander Hartmaier1
1Interdisciplinary Centre for Advanced Material Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstr 150, 44801 Bochum, Germany.
This study introduces an inverse analysis method combining instrumented indentation tests and simulations to determine time-dependent material properties. The approach successfully characterized viscoplastic behavior and work-hardening in martensitic steel.
Area of Science:
- Materials Science
- Mechanical Engineering
- Computational Mechanics
Background:
- Instrumented indentation testing is a key method for evaluating material hardness and elastic properties.
- Advanced techniques combine indentation with simulations to determine complex material characteristics like yield strength and work-hardening.
- Inverse analysis offers a powerful approach to extract material parameters by minimizing discrepancies between simulated and experimental indentation data.
Purpose of the Study:
- To develop a protocol for instrumented indentation tests and an inverse analysis procedure.
- To obtain material parameters for time-dependent viscoplastic behavior and kinematic/isotropic work-hardening.
- To compare two optimization strategies for parameter identification.
Main Methods:
- Developed a protocol for instrumented indentation tests.
- Implemented an inverse analysis procedure to determine material parameters from experimental data.
- Assumed known elastic properties and initial yield strength, which are independently determinable.
- Employed and compared two distinct optimization strategies for parameter identification.
Main Results:
- Successfully obtained material parameters for time-dependent viscoplastic behavior.
- Characterized kinematic and isotropic work-hardening using the developed inverse method.
- Applied the new inverse method for spherical indentation to martensitic steel, demonstrating its efficacy.
Conclusions:
- The developed inverse analysis method effectively determines time-dependent viscoplastic material parameters and work-hardening characteristics.
- The protocol is successfully validated through application to martensitic steel.
- This approach enhances the capability of indentation testing for comprehensive material characterization.
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