Mechanisms-Based Transitional Viscoplasticity
Abstract
:1. Introduction
2. Mechanism of Plastic Flow
3. Thermal Activation
4. Rerouting of Plastic Flow and Consequences
5. Dynamic Overstress
6. Plasticity-Induced Heating
7. Hall–Petch Relation
7.1. Energy-Based Hall–Petch Relation
7.2. Kinematics-Based Construction of Hall–Petch Relation
8. Transitional Viscoplasticity
9. OFHC Copper
10. Plate Impact Problem
11. Conclusions
- The macroscopic plastic flow results from plastic slippages and slip reorganizations. The description is constructed on the basis of the tensor representation concept. It is my conviction that tensor representations derived for generic dyads represent useful tools in the hands of a modeler.
- In the proposed model, thermally activated processes are considered stochastic. The concept explains the transition of flow mechanisms from power-law creep to high strain rate dislocation glide.
- The proposed description of plasticity-induced heating is based on the hypothesis that plasticity-induced heating quantifies the efficiency of the plastic flow process, while plastic work aids in configurational entropy (suppleness) of the material.
- Drag on dislocations is activated by dynamic excitations. As shown, the excitations result from the kinematically-necessary readjustments of flow pathways.
- The stress–strain relations are constructed in the framework of transitional viscoplasticity. The power-law relations enable a smooth elastic-plastic transition during loading and unloading processes.
- I developed an energy-based Hall–Petch relation, where the commonly known stress-based relation is replaced by its kinematics-based counterpart. The proposed Hall–Petch concept was born out of extensive discussions with Ron Armstrong, who walked me through the sixty years of Hall–Petch interpretations, for which I am grateful.
- The model is calibrated for OFHC copper, implemented to a deformable discrete element code (my Ph.D. thesis) and validated in simulations of a plate impact problem. The method itself describes a semi-Cosserat medium, where grain translations and rotations are accounted for.
Funding
Acknowledgments
Conflicts of Interest
Appendix A. A Short Note on Deformable Discrete Element Method
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Bulk Modulus | Shear Modulus | Mass Density | Yield Stress, 298 K | Burgers Vector | Melting Point | Specific Heat, 298 K |
---|---|---|---|---|---|---|
385 |
Strain Rate Exponent | Stress Exponent | Heat Coefficient | Crystallographic Constant | Schmid Factor | Transition Temperature | Overstress Exponent |
---|---|---|---|---|---|---|
0.5 |
Activation Energy Factor | Thermal Activation | Stress Pre-Factor | Critical Energy | Schmid Factor | Ductility | Damage Strain |
---|---|---|---|---|---|---|
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Zubelewicz, A. Mechanisms-Based Transitional Viscoplasticity. Crystals 2020, 10, 212. https://doi.org/10.3390/cryst10030212
Zubelewicz A. Mechanisms-Based Transitional Viscoplasticity. Crystals. 2020; 10(3):212. https://doi.org/10.3390/cryst10030212
Chicago/Turabian StyleZubelewicz, Aleksander. 2020. "Mechanisms-Based Transitional Viscoplasticity" Crystals 10, no. 3: 212. https://doi.org/10.3390/cryst10030212