Sequential slip transfer of mixed-character dislocations across Σ3 coherent twin boundary in FCC metals: a concurrent atomistic-continuum study
Source abstract
Abstract
Abstract Sequential slip transfer across grain boundaries (GB) has an important role in size-dependent propagation of plastic deformation in polycrystalline metals. For example, the Hall–Petch effect, which states that a smaller average grain size results in a higher yield stress, can be rationalised in terms of dislocation pile-ups against GBs. In spite of extensive studies in modelling individual phases and grains using atomistic simulations, well-accepted criteria of slip transfer across GBs are still lacking, as well as models of predicting irreversible GB structure evolution. Slip transfer is inherently multiscale since both the atomic structure of the boundary and the long-range fields of the dislocation pile-up come into play. In this work, concurrent atomistic-continuum simulations are performed to study sequential slip transfer of a series of curved dislocations from a given pile-up on Σ3 coherent twin boundary (CTB) in Cu and Al, with dominant leading screw character at the site of interaction. A Frank-Read source is employed to nucleate dislocations continuously. It is found that subject to a shear stress of 1.2 GPa, screw dislocations transfer into the twinned grain in Cu, but glide on the twin boundary plane in Al. Moreover, four dislocation/CTB interaction modes are identified in Al, which are affected by (1) applied shear stress, (2) dislocation line length, and (3) dislocation line curvature. Our results elucidate the discrepancies between atomistic simulations and experimental observations of dislocation-GB reactions and highlight the importance of directly modeling sequential dislocation slip transfer reactions using fully 3D models.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Microstructure and mechanical properties · Fusion materials and technologies · Hydrogen embrittlement and corrosion behaviors in metals
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (50)
Show source-provided references
1. Ramesh, K. T. Nanomaterials: Mechanics and Mechanisms (Springer, 2009).10.1007/978-0-387-09783-1 ↗
2. Ratanaphan, S. et al. Grain boundary energies in body-centered cubic metals. Acta Mater. 88, 346–354 (2015).10.1016/j.actamat.2015.01.069 ↗
3. Counts, W. A., Braginsky, M. V., Battaile, C. C. & Holm, E. A. Predicting the Hall-Petch effect in fcc metals using non-local crystal plasticity. Int. J. Plast. 24, 1243–1263 (2008).10.1016/j.ijplas.2007.09.008 ↗
4. Spearot, D. E. & Sangid, M. D. Insights on slip transmission at grain boundaries from atomistic simulations. Curr. Opin. Solid State Mater. Sci. 18, 188–195 (2014).10.1016/j.cossms.2014.04.001 ↗
5. Hirth, J. P. & Lothe, J. Theory of Dislocations (John Wiley & Sons, 1982).
6. Lee, T. C., Robertson, I. M. & Birnbaum, H. K. TEM in situ deformation study of the interaction of lattice dislocations with grain boundaries in metals. Philos. Mag. A 62, 131–153 (1990).10.1080/01418619008244340 ↗
7. Cottrell, A. H. in Dislocations in Solids Vol. 11 (eds Nabarro F. R. N. & Duesday M. S. vii–xvii (Elsevier, 2002).10.1016/S1572-4859(02)80002-X ↗
8. Kacher, J., Eftink, B. P., Cui, B. & Robertson, I. M. Dislocation interactions with grain boundaries. Curr. Opin. Solid State Mater. Sci. 18, 227–243 (2014).10.1016/j.cossms.2014.05.004 ↗
9. Chassagne, M., Legros, M. & Rodney, D. Atomic-scale simulation of screw dislocation/coherent twin boundary interaction in Al, Au, Cu and Ni. Acta Mater. 59, 1456–1463 (2011).10.1016/j.actamat.2010.11.007 ↗
10. Zhu, T., Li, J., Samanta, A., Kim, H. G. & Suresh, S. Interfacial plasticity governs strain rate sensitivity and ductility in nanostructured metals. Proc. Natl Acad. Sci. USA 104, 3031–3036 (2007).10.1073/pnas.0611097104 ↗
11. Zheng, Y. G., Lu, J., Zhang, H. W. & Chen, Z. Strengthening and toughening by interface-mediated slip transfer reaction in nanotwinned copper. Scripta Mater. 60, 508–511 (2009).10.1016/j.scriptamat.2008.11.039 ↗
12. Jin, Z. H. et al. The interaction mechanism of screw dislocations with coherent twin boundaries in different face-centred cubic metals. Scripta Mater. 54, 1163–1168 (2006).10.1016/j.scriptamat.2005.11.072 ↗
13. Jin, Z. H. et al. Interactions between non-screw lattice dislocations and coherent twin boundaries in face-centered cubic metals. Acta Mater. 56, 1126–1135 (2008).10.1016/j.actamat.2007.11.020 ↗
14. Ezaz, T., Sangid, M. D. & Sehitoglu, H. Energy barriers associated with slip-twin interactions. Philos. Mag. 91, 1464–1488 (2011).10.1080/14786435.2010.541166 ↗
15. Szajewski, B. A. & Curtin, W. A. Analysis of spurious image forces in atomistic simulations of dislocations. Model. Simul. Mater. Sci. Eng. 23, 025008 (2015).10.1088/0965-0393/23/2/025008 ↗
16. Li, N. et al. Twinning dislocation multiplication at a coherent twin boundary. Acta Mater. 59, 5989–5996 (2011).10.1016/j.actamat.2011.06.007 ↗
17. Wang, J. Atomistic simulations of dislocation pileup: grain boundaries interaction. JOM 67, 1515–1525 (2015).10.1007/s11837-015-1454-0 ↗
18. de Koning, M., Miller, R., Bulatov, V. V. & Abraham, F. F. Modelling grain-boundary resistance in intergranular dislocation slip transmission. Philos. Mag. A 82, 2511–2527 (2002).10.1080/01418610208240050 ↗
19. Mayeur, J. R., Beyerlein, I. J., Bronkhorst, C. A. & Mourad, H. M. Incorporating interface affected zones into crystal plasticity. Int. J. Plast. 65, 206–225 (2015).10.1016/j.ijplas.2014.08.013 ↗
20. Quek, S. S., Wu, Z., Zhang, Y. W. & Srolovitz, D. J. Polycrystal deformation in a discrete dislocation dynamics framework. Acta Mater. 75, 92–105 (2014).10.1016/j.actamat.2014.04.063 ↗
21. Puri, S., Acharya, A. & Rollett, A. Controlling plastic flow across grain boundaries in a continuum model. Metall. Mater. Trans. A 42, 669–675 (2011).10.1007/s11661-010-0257-8 ↗
22. Levitas, V. I. & Javanbakht, M. Phase transformations in nanograin materials under high pressure and plastic shear: nanoscale mechanisms. Nanoscale 6, 162–166 (2014).10.1039/C3NR05044K ↗
23. McDowell, D. L. A perspective on trends in multiscale plasticity. Int. J. Plast 26, 1280–1309 (2010).10.1016/j.ijplas.2010.02.008 ↗
24. Liu, B. et al. Dislocation interactions and low-angle grain boundary strengthening. Acta Mater. 59, 7125–7134 (2011).10.1016/j.actamat.2011.07.067 ↗
25. McDowell, D. L. Viscoplasticity of heterogeneous metallic materials. Mater. Sci. Eng. R Rep. 62, 67–123 (2008).10.1016/j.mser.2008.04.003 ↗
26. Shimokawa, T., Kinari, T. & Shintaku, S. Interaction mechanism between edge dislocations and asymmetrical tilt grain boundaries investigated via quasicontinuum simulations. Phys. Rev. B 75, 144108 (2007).10.1103/PhysRevB.75.144108 ↗
27. Dewald, M. P. & Curtin, W. A. Multiscale modelling of dislocation/grain boundary interactions. II. Screw dislocations impinging on tilt boundaries in Al. Philos. Mag. 87, 4615–4641 (2007).10.1080/14786430701297590 ↗
28. Pavia, F. & Curtin, W. A. Parallel algorithm for multiscale atomistic/continuum simulations using LAMMPS. Modelling Simul. Mater. Sci. Engl. 23, 055002 (2015).10.1088/0965-0393/23/5/055002 ↗
29. Chen, Y. Reformulation of microscopic balance equations for multiscale materials modeling. J. Chem. Phys. 130, 134706 (2009).10.1063/1.3103887 ↗
30. Xu, S., Che, R., Xiong, L., Chen, Y. & McDowell, D. L. A quasistatic implementation of the concurrent atomistic-continuum method for FCC crystals. Int. J. Plast. 72, 91–126 (2015).10.1016/j.ijplas.2015.05.007 ↗
31. Xiong, L., Tucker, G., McDowell, D. L. & Chen, Y. Coarse-grained atomistic simulation of dislocations. J. Mech. Phys. Solids 59, 160–177 (2011).10.1016/j.jmps.2010.11.005 ↗
32. Xiong, L., Xu, S., McDowell, D. L. & Chen, Y. Concurrent atomistic-continuum simulations of dislocation-void interactions in fcc crystals. Int. J. Plast. 65, 33–42 (2015).10.1016/j.ijplas.2014.08.002 ↗
33. Kashihara, K. & Inoko, F. Effect of piled-up dislocations on strain induced boundary migration (SIBM) in deformed aluminum bicrystals with originally Σ3 twin boundary. Acta Mater. 49, 3051–3061 (2001).10.1016/S1359-6454(01)00211-7 ↗
34. Cai, W., Bulatov, V. V., Chang, J. P., Li, J. & Yip, S. in Dislocations in Solids Vol. 12 (eds Nabarro F. R. N. & Hirth J. P. ) 64, 1–80 (Elsevier, 2004).10.1016/S1572-4859(05)80003-8 ↗
35. Weinberger, C. R. & Tucker, G. J. Atomistic simulations of dislocation pinning points in pure face-centered-cubic nanopillars. Model. Simul. Mater. Sci. Engl. 20, 075001 (2012).10.1088/0965-0393/20/7/075001 ↗
36. Olmsted, D. L., Hardikar, K. Y. & Phillips, R. Lattice resistance and Peierls stress in finite size atomistic dislocation simulations. Modelling Simul. Mater. Sci. Eng. 9, 215–247 (2001).10.1088/0965-0393/9/3/308 ↗
37. Chen, Z., Jin, Z. & Gao, H. Repulsive force between screw dislocation and coherent twin boundary in aluminum and copper. Phys. Rev. B 75, 212104 (2007).10.1103/PhysRevB.75.212104 ↗
38. Scattergood, R. O. & Bacon, D. J. The strengthening effect of voids. Acta Metall. 30, 1665–1677 (1982).10.1016/0001-6160(82)90188-2 ↗
39. Shimokawa, T. & Kitada, S. Dislocation multiplication from the Frank-Read source in atomic models. Mater. Trans. 55, 58–63 (2014).10.2320/matertrans.MA201319 ↗
40. Stukowski, A., Bulatov, V. V. & Arsenlis, A. Automated identification and indexing of dislocations in crystal interfaces. Modelling Simul. Mater. Sci. Eng. 20, 085007 (2012).10.1088/0965-0393/20/8/085007 ↗
41. Yang, Z. Q., Chisholm, M. F., He, L. L., Pennycook, S. J. & Ye, H. Q. Atomic-scale processes revealing dynamic twin boundary strengthening mechanisms in face-centered cubic materials. Scripta Mater. 67, 911–914 (2012).10.1016/j.scriptamat.2012.08.032 ↗
42. Jin, C., Xiang, Y. & Lu, G. Dislocation cross-slip mechanisms in aluminum. Philos. Mag. 91, 4109–4125 (2011).10.1080/14786435.2011.602030 ↗
43. Mishin, Y., Farkas, D., Mehl, M. J. & Papaconstantopoulos, D. A. Interatomic potentials for monoatomic metals from experimental data and ab initio calculations. Phys. Rev. B 59, 3393–3407 (1999).10.1103/PhysRevB.59.3393 ↗
44. Ercolessi, F. & Adams, J. B. Interatomic potentials from first-principles calculations: the force-matching method. Europhys. Lett. 26, 583–588 (1994).10.1209/0295-5075/26/8/005 ↗
45. Wang, Y. M. et al. Defective twin boundaries in nanotwinned metals. Nat. Mater. 12, 697–702 (2013).10.1038/nmat3646 ↗
46. Mishin, Y., Mehl, M. J., Papaconstantopoulos, D. A., Voter, A. F. & Kress, J. D. Structural stability and lattice defects in copper: Ab initio, tight-binding, and embedded-atom calculations. Phys. Rev. B 63, 224106 (2001).10.1103/PhysRevB.63.224106 ↗
47. Tadmor, E. B. & Miller, R. E. Modeling materials: continuum, atomistic and multiscale techniques (Cambridge Univ. Press, 2011).10.1017/CBO9781139003582 ↗
48. Schroeder, W., Martin, K. & Lorensen, B. The Visualization Toolkit: An Object Oriented Approach to 3D Graphics (Kitware, 2003).
49. Stukowski, A. Visualization and analysis of atomistic simulation data with OVITO --- the Open Visualization Tool. Modelling Simul. Mater. Sci. Eng. 18, 015012 (2010).10.1088/0965-0393/18/1/015012 ↗
50. Towns, J. et al. XSEDE: Accelerating scientific discovery. Comput. Sci. Eng. 16, 62–74 (2014).10.1109/MCSE.2014.80 ↗