Local Ratcheting at the Notch Region of Non-Press-Fitted and Press-Fitted Al 7075-T6 Samples Undergoing Asymmetric Stress Cycles
Abstract
:1. Introduction
2. Kinematic Hardening Rules and Formulation
2.1. Strain Increments
2.2. The Ahmadzadeh-Varvani (A-V) Kinematic Hardening Rule
2.3. Neuber’s Rule: Relating Nominal Stress/Strain to Local Components of Stress and Strain at Notch Root
2.4. The Chaboche Kinematic Hardening Rule
3. Results and Discussion
3.1. Ratcheting Data
3.2. Kinematic Hardening Rule Coefficients
3.3. Yield Surface Evolution
3.4. Backstress Evolution with Loading
3.5. Finite Element Analysis and Stress Distribution
3.6. Predicted Hysteresis Loops
3.7. Local Ratcheting Strain Prediction
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Nomenclature
Total strain increment tensor | |
Elastic strain increment tensor | |
Plastic strain increment tensor | |
E | Modulus of elasticity |
Plastic modulus | |
Backstress tensor | |
Stress tensor | |
Unit tensor | |
Poisson’s ratio | |
G | Shear modulus |
Deviatoric stress tensor | |
Initial yield strength | |
d | Circular notch diameter |
Coefficients of the A-V model | |
, | Chaboche materials coefficients |
Stress concentration factor | |
Internal variable of the A-V model tensor | |
Ramberg-Osgood coefficients | |
S,e | Nominal stress and strain |
R | Stress ratio |
, | Stress and strain concentration factors |
Uniaxial local stress and strain at the notch root | |
Strain energy per unit volume at the notch root | |
Elastic strain energy per unit volume due to the nominal remote stress |
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Hatami, F.; Varvani-Farahani, A. Local Ratcheting at the Notch Region of Non-Press-Fitted and Press-Fitted Al 7075-T6 Samples Undergoing Asymmetric Stress Cycles. Metals 2023, 13, 1549. https://doi.org/10.3390/met13091549
Hatami F, Varvani-Farahani A. Local Ratcheting at the Notch Region of Non-Press-Fitted and Press-Fitted Al 7075-T6 Samples Undergoing Asymmetric Stress Cycles. Metals. 2023; 13(9):1549. https://doi.org/10.3390/met13091549
Chicago/Turabian StyleHatami, F., and A. Varvani-Farahani. 2023. "Local Ratcheting at the Notch Region of Non-Press-Fitted and Press-Fitted Al 7075-T6 Samples Undergoing Asymmetric Stress Cycles" Metals 13, no. 9: 1549. https://doi.org/10.3390/met13091549
APA StyleHatami, F., & Varvani-Farahani, A. (2023). Local Ratcheting at the Notch Region of Non-Press-Fitted and Press-Fitted Al 7075-T6 Samples Undergoing Asymmetric Stress Cycles. Metals, 13(9), 1549. https://doi.org/10.3390/met13091549