The Plastic Deformation Mechanisms of hcp Single Crystals with Different Orientations: Molecular Dynamics Simulations
Abstract
:1. Introduction
2. Simulation Method
3. Results and Discussion
3.1. The Initial Plastic Deformation Mechanisms of Mg, Zr, and Ti
3.2. Slips
3.3. Twinning
3.3.1. Twinning
3.3.2. Twinning
3.4. Double Twins (DTs)
3.5. Phase Transformation
4. Discussion
5. Conclusions
- (1)
- The slips dominate the plasticity of hcp single crystals. The basal slip is preferred in Mg while the prism slip is favored in Ti and Zr, which are characterized by c/a ratio and the CRSS values. The slip mechanisms observed in our simulation match well with the comprehensive analysis of the Schmid factor and CRSS of slip systems.
- (2)
- When the basal and prismatic slips are restricted, the twinning is activated. The twinning is popularly observed in Mg, Zr, and Ti single crystals because of its low CRSS, which is usually accompanied with the BP transformation. The twins form in Mg and Ti, but not in Zr. The type II twins (SBs) appear in Mg, Zr, and Ti. Moreover, the DT in Mg and DT in Ti are observed, responsible for relaxing the local stress and strain concentration associated with the primary twin.
- (3)
- The stress-induced phase transformation from hcp to fcc structure in Ti is observed, which is achieved by the accumulation of BSFs. For samples with different orientations, the fcc phase can be nucleated at the defects or the free surface via the activation and successive glide of basal partial dislocations.
- (4)
- The lower CRSSs of slip and twinning in Mg result in the strength of Mg is much lower than that of Ti and Zr. Moreover, there are more types of plastic deformation mechanisms in Ti than in Mg and Zr. Multiple deformation mechanisms coordinate with each other, resulting in high strength and ductility of Ti.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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θ (°) | Mg [26] (c/a = 1.623) | Zr (c/a = 1.593) | Ti (c/a = 1.588) |
---|---|---|---|
0 (c-axis) | PyD <c + a>, BD <a>, BSF, T3, BP | PyD <c + a>, BD <a>, BSF, T3, BP | T3, BP, BSF, fcc-Ti |
10 | SB | PyD <c + a>, SB | PyD <c + a>, SB |
15 | SB | PyD <c + a>, SB | BD <a>, BSF, PyD <c + a>, SB,DT |
32.1 | SB | BD <a>, BSF | BD <a>, BSF |
43.3 | PrD <a>, BD <a>, BSF | PrD <a>, BD <a>, BSF | BD <a>, BSF |
51.6 | PrD <a>, BD <a>, BSF | PrD <a>, BD <a>, BSF | BD <a>, BSF |
70 | PrD <a>, T1, BSF, BP, GB | PrD <a> | PrD <a>, PyD <a>,T1,BSF,fcc-Ti |
75 | PrD <a>, T1, BSF, BP, GB | PrD <a> | PrD <a>, PyD <a>,T1,BSF,fcc-Ti |
80 | T1, BSF, BP, GB | PrD <a> | PrD <a>, PyD <a>,T1,BSF,fcc-Ti |
90 | T1, BSF, BP, GB | PrD <a> | PrD <a>, PyD <a>,T1,BSF,fcc-Ti |
β (°) | Mg (c/a = 1.623) | Zr (c/a = 1.593) | Ti (c/a = 1.588) |
---|---|---|---|
0 (c-axis) | PyD <c + a>, BD <a>, BSF, T3, BP | PyD <c + a>, BD <a>, BSF, T3, BP | T3, BP, BSF, fcc-Ti |
10 | BD <a>, BSF, PyD <c + a>, SB | PyD <c + a>, SB | BD <a>, BSF, PyD <c + a>, SB,DT |
15 | BD <a>, BSF, PyD <c + a>, SB | PyD <c + a>, BD <a>, BSF | BD <a>, BSF,fcc-Ti |
28.6 | BD <a>, BSF | PyD <c + a>, BD <a>, BSF | BD <a>, BSF,fcc-Ti |
35.9 | BD <a>, BSF | PyD <c + a>, BD <a>, BSF | PyD <c + a>,fcc-Ti, BP |
47.4 | BD <a>, BSF | BD <a>, BSF, PrD <a>, PyD <c + a> | BD <a>, BSF,fcc-Ti |
55.4 | BD <a>, BSF | BD <a>, BSF, PrD <a>, PyD <c + a> | BD <a>, BSF,fcc-Ti |
58.6 | BD <a>, BSF | BD <a>, BSF, PrD <a>, PyD <c + a> | BD <a>, BSF,fcc-Ti |
70 | T1,BSF, BP, GB | PyD <c + a>, PrD <a> | PrD <a>, BD <a>, BSF |
75 | PrD <a>,T1,BSF | PyD <c + a>, PrD <a> | PrD <a>, BD <a>, BSF |
80 | PrD <a>,T1,BSF | PyD <c + a>, PrD <a> | PrD <a> |
90 | PrD <a>,T1,BSF | PyD <c + a>, PrD <a> | PrD <a> |
Loading Direction (θ) | BD <a> | PrD <a> | PyD <c + a> | PyD <c + a> (SB) | ||||
---|---|---|---|---|---|---|---|---|
Mg | Zr | Ti | Mg | Zr | Ti | |||
0 | 0 | 0 | 0.401 | 0.404 | 0.404 | 0.281 | 0.286 | 0.286 |
15 | 0.25 | 0.029 | 0.493 | 0.493 | 0.493 | 0.451 | 0.453 | 0.454 |
32.1 | 0.450 | 0.122 | 0.468 | 0.466 | 0.466 | 0.495 | 0.494 | 0.493 |
51.6 | 0.487 | 0.266 | 0.288 | 0.284 | 0.283 | 0.469 | 0.464 | 0.464 |
70 | 0.321 | 0.382 | 0.436 | 0.435 | 0.434 | 0.481 | 0.480 | 0.484 |
90 | 0 | 0.433 | 0.400 | 0.405 | 0.405 | 0.282 | 0.286 | 0.287 |
Loading Direction (β) | BD <a> | PrD <a> | PyD <c + a> | PyD <c + a> (SB) | ||||
---|---|---|---|---|---|---|---|---|
Mg | Zr | Ti | Mg | Zr | Ti | |||
0 | 0 | 0 | 0.401 | 0.404 | 0.404 | 0.281 | 0.286 | 0.286 |
10 | 0.125 | 0.013 | 0.469 | 0.470 | 0.470 | 0.388 | 0.388 | 0.392 |
28.6 | 0.365 | 0.099 | 0.442 | 0.440 | 0.438 | 0.470 | 0.470 | 0.472 |
55.4 | 0.399 | 0.293 | 0.394 | 0.389 | 0.390 | 0.388 | 0.386 | 0.387 |
70 | 0.278 | 0.382 | 0.480 | 0.479 | 0.477 | 0.383 | 0.383 | 0.386 |
90 | 0 | 0.433 | 0.401 | 0.405 | 0.405 | 0.211 | 0.214 | 0.216 |
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Ma, Z.-C.; Tang, X.-Z.; Mao, Y.; Guo, Y.-F. The Plastic Deformation Mechanisms of hcp Single Crystals with Different Orientations: Molecular Dynamics Simulations. Materials 2021, 14, 733. https://doi.org/10.3390/ma14040733
Ma Z-C, Tang X-Z, Mao Y, Guo Y-F. The Plastic Deformation Mechanisms of hcp Single Crystals with Different Orientations: Molecular Dynamics Simulations. Materials. 2021; 14(4):733. https://doi.org/10.3390/ma14040733
Chicago/Turabian StyleMa, Zhi-Chao, Xiao-Zhi Tang, Yong Mao, and Ya-Fang Guo. 2021. "The Plastic Deformation Mechanisms of hcp Single Crystals with Different Orientations: Molecular Dynamics Simulations" Materials 14, no. 4: 733. https://doi.org/10.3390/ma14040733