# Characterization of the Strain-Rate-Dependent Plasticity of Alloys Using Instrumented Indentation Tests

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## Abstract

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## 1. Introduction

## 2. Finite Element Modeling

#### 2.1. Strain-Rate-Dependent Constitutive Model

#### 2.2. Finite Element Model of the Instrumented Indentation Test

#### 2.3. Finite Element Model of the Compression Test

## 3. Experiments

#### 3.1. Specimen

#### 3.2. Instrumented Indentation Tests at High Temperatures

#### 3.2.1. Compression Tests at High Temperatures

## 4. Characterization of Strain Rate Dependency

#### 4.1. Determination of Material Constants

#### 4.2. Validation in Compression Tests

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 4.**Load–depth curves obtained in the experiments and simulations using the determined material constants. The dashed lines indicate the simulation results.

**Figure 5.**Depth–time curves obtained in the experiments and simulations using the determined material constants. The dashed lines indicate the simulation results.

**Figure 6.**von Mises stress distribution at the beginning and end of the holding processes in the computational simulations using the determined material constants for $\alpha \in (0,1)$.

**Figure 7.**Equivalent plastic strain distribution at the beginning and end of the holding processes in the computational simulations using the determined material constants for $\alpha \in (0,1)$.

**Figure 8.**Load–stroke curves in the experiments and simulations using the determined material constants. The dashed lines indicate the simulation results.

Zn | Mg | Zr | Cu | Fe | Si | Ti |
---|---|---|---|---|---|---|

5.60 | 1.34 | 0.16 | 0.15 | 0.03 | 0.02 | 0.02 |

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**MDPI and ACS Style**

Chen, T.-T.; Watanabe, I.; Funazuka, T. Characterization of the Strain-Rate-Dependent Plasticity of Alloys Using Instrumented Indentation Tests. *Crystals* **2021**, *11*, 1316.
https://doi.org/10.3390/cryst11111316

**AMA Style**

Chen T-T, Watanabe I, Funazuka T. Characterization of the Strain-Rate-Dependent Plasticity of Alloys Using Instrumented Indentation Tests. *Crystals*. 2021; 11(11):1316.
https://doi.org/10.3390/cryst11111316

**Chicago/Turabian Style**

Chen, Ta-Te, Ikumu Watanabe, and Tatsuya Funazuka. 2021. "Characterization of the Strain-Rate-Dependent Plasticity of Alloys Using Instrumented Indentation Tests" *Crystals* 11, no. 11: 1316.
https://doi.org/10.3390/cryst11111316