Evaluation on Flexibility of Phenomenological Hardening Law for Automotive Sheet Metals
Abstract
:1. Introduction
2. Ordinary Differential Equation of Existing Hardening Laws
2.1. Saturation Laws
2.2. Power Laws
2.3. Combination of Hardening Laws
2.3.1. Additive Combination
2.3.2. Multiplicative Combination
3. New Strain Hardening Law
3.1. Saturation Law
3.2. Power Law
4. Application for Automotive Sheet Metals
4.1. Investigated Materials
4.2. Calibration Method
4.2.1. Common Curve Fitting Method
4.2.2. Constrained Curve Fitting Method
4.3. Calibration Result
4.4. Discussion
4.4.1. Diffuse Neck Prediction
4.4.2. Hardening Rate Curve Prediction
5. Validation
5.1. Finite Element Model
5.2. Effect of Calibration Method
5.3. Selection of a Proper Hardening Law
6. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Material | Thickness (mm) | Young Modulus (GPa) | Initial Yield Stress (MPa) | Ultimate Tensile Strength (MPa) | Maximum Uniform Strain | Elongation (%) |
---|---|---|---|---|---|---|
DP590 | 1.4 | 205 | 401 | 603 | 0.156 | 25.7 |
DP780 | 1.2 | 206 | 489 | 822 | 0.123 | 20.5 |
DP980 | 1.6 | 200 | 800 | 1030 | 0.050 | 11.0 |
SPCC | 0.9 | 210 | 158 | 309 | 0.158 | 41.4 |
TRIP980 | 1.2 | 213 | 640 | 1026 | 0.120 | 19.5 |
TRIP1180 | 1.25 | 207 | 854 | 1117 | 0.229 | 40.9 |
AA6016 | 1.2 | 69 | 158 | 277 | 0.238 | 33.4 |
AA6022 | 1.1 | 67 | 123 | 238 | 0.209 | 30.1 |
AA7075 | 1.6 | 67 | 478 | 554 | 0.091 | 13.5 |
AA5052 | 0.8 | 73 | 173 | 229 | 0.090 | 12.2 |
AA6021 | 1.4 | 71 | 146 | 279 | 0.157 | 20.9 |
AA3004 | 0.51 | 62 | 73 | 156 | 0.171 | 28.7 |
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Pham, Q.T.; Kim, Y.-S. Evaluation on Flexibility of Phenomenological Hardening Law for Automotive Sheet Metals. Metals 2022, 12, 578. https://doi.org/10.3390/met12040578
Pham QT, Kim Y-S. Evaluation on Flexibility of Phenomenological Hardening Law for Automotive Sheet Metals. Metals. 2022; 12(4):578. https://doi.org/10.3390/met12040578
Chicago/Turabian StylePham, Quoc Tuan, and Young-Suk Kim. 2022. "Evaluation on Flexibility of Phenomenological Hardening Law for Automotive Sheet Metals" Metals 12, no. 4: 578. https://doi.org/10.3390/met12040578