Improved phase field model of dislocation intersections
Source abstract
Abstract
Abstract Revealing the long-range elastic interaction and short-range core reaction between intersecting dislocations is crucial to the understanding of dislocation-based strain hardening mechanisms in crystalline solids. Phase field model has shown great potential in modeling dislocation dynamics by both employing the continuum microelasticity theory to describe the elastic interactions and incorporating the γ-surface into the crystalline energy to enable the core reactions. Since the crystalline energy is approximately formulated by linear superposition of interplanar potential of each slip plane in the previous phase field model, it does not fully account for the reactions between dislocations gliding in intersecting slip planes. In this study, an improved phase field model of dislocation intersections is proposed through updating the crystalline energy by coupling the potential of two intersecting planes, and then applied to study the collinear interaction followed by comparison with the previous simulation result using discrete dislocation dynamics. Collinear annihilation captured only in the improved phase field model is found to strongly affect the junction formation and plastic flow in multislip systems. The results indicate that the improvement is essential for phase field model of dislocation intersections.
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Research context
OpenAlex topics: Microstructure and mechanical properties · Aluminum Alloy Microstructure Properties · Solidification and crystal growth phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (43)
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1. Saada, G. Sur le durcissement dû à la recombinaison des dislocations. Acta Metall. 8, 841–847 (1960).10.1016/0001-6160(60)90150-4 ↗
2. Hirth, J. P. On dislocation interactions in the fcc lattice. J. Appl. Phys. 32, 700–706 (1961).10.1063/1.1736074 ↗
3. Franciosi, P., Berveiller, M. & Zaoui, A. Latent hardening in copper and aluminium single crystals. Acta Metall. 28, 273–283 (1980).10.1016/0001-6160(80)90162-5 ↗
4. Follansbee, P. S. & Kocks, U. F. A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable. Acta Metall. 36, 81–93 (1988).10.1016/0001-6160(88)90030-2 ↗
5. Lomer, W. M. A dislocation reaction in the face-centred cubic lattice. Philos. Mag. 42, 1327–1331 (1951).10.1080/14786444108561389 ↗
6. Cottrell, A. H. The formation of immobile dislocations during slip. Philos. Mag. 43, 645–647 (1952).10.1080/14786440608520220 ↗
7. Madec, R., Devincre, B., Kubin, L., Hoc, T. & Rodney, D. The role of collinear interaction in dislocation-induced hardening. Science 301, 1879–1882 (2003).10.1126/science.1085477 ↗
8. Justo, J. F., Bulatov, V. V. & Yip, S. Core effects in dislocation intersection. Scr. Mater. 36, 707–712 (1997).10.1016/S1359-6462(96)00445-9 ↗
9. Bulatov, V., Abraham, F. F., Kubin, L., Devincre, B. & Yip, S. Connecting atomistic and mesoscale simulations of crystal plasticity. Nature 391, 669–672 (1998).10.1038/35577 ↗
10. Martinez, E., Marian, J., Arsenlis, A., Victoria, M. & Perlado, J. M. Atomistically informed dislocation dynamics in fcc crystals. J. Mech. Phys. Solids 56, 869–895 (2008).10.1016/j.jmps.2007.06.014 ↗
11. Vitek, V. Intrinsic stacking faults in body-centred cubic crystals. Philos. Mag. 18, 773–786 (1968).10.1080/14786436808227500 ↗
12. Zhou, S. J., Preston, D. L., Lomdahl, P. S. & Beazley, D. M. Large-scale molecular dynamics simulations of dislocation intersection in copper. Science 279, 1525–1527 (1998).10.1126/science.279.5356.1525 ↗
13. Swaminarayan, S., LeSar, R., Lomdahl, P. & Beazley, D. Short-range dislocation interactions using molecular dynamics: annihilation of screw dislocations. J. Mater. Res. 13, 3478–3484 (1998).10.1557/JMR.1998.0475 ↗
14. Rodney, D. & Phillips, R. Structure and strength of dislocation junctions: an atomic level analysis. Phys. Rev. Lett. 82, 1704–1707 (1999).10.1103/PhysRevLett.82.1704 ↗
15. Zhou, S. J. & Preston, D. L. Short-range dislocation interactions. Phys. D 133, 498–504 (1999).10.1016/S0167-2789(99)00074-3 ↗
16. Shenoy, V. B., Kukta, R. V. & Phillips, R. Mesoscopic analysis of structure and strength of dislocation junctions in fcc metals. Phys. Rev. Lett. 84, 1491–1494 (2000).10.1103/PhysRevLett.84.1491 ↗
17. Shin, C. S. et al. Formation and strength of dislocation junctions in fcc metals: a study by dislocation dynamics and atomistic simulations. J. Phys. IV 11, 19–26 (2001).
18. Madec, R., Devincre, B. & Kubin, L. P. From dislocation junctions to forest hardening. Phys. Rev. Lett. 89, 255508 (2002).10.1103/PhysRevLett.89.255508 ↗
19. Dupuy, L. & Fivel, M. C. A study of dislocation junctions in FCC metals by an orientation dependent line tension model. Acta Mater. 50, 4873–4885 (2002).10.1016/S1359-6454(02)00356-7 ↗
20. Li, M., Chu, W. Y., Qian, C. F., Gao, K. W. & Qiao, L. J. Molecular dynamics simulation of dislocation intersections in aluminum. Mater. Sci. Eng. A 363, 234–241 (2003).10.1016/S0921-5093(03)00644-0 ↗
21. Bulatov, V. V. et al. Dislocation multi-junctions and strain hardening. Nature 440, 1174–1178 (2006).10.1038/nature04658 ↗
22. Monnet, G. & Devincre, B. Solute friction and forest interaction. Philos. Mag. 86, 1555–1565 (2006).10.1080/14786430500398425 ↗
23. Picu, R. C. & Soare, M. A. Asymmetric dislocation junctions exhibit a broad range of strengths. Scr. Mater. 62, 508–511 (2010).10.1016/j.scriptamat.2009.12.028 ↗
24. Alankar, A., Mastorakos, I. N., Field, D. P. & Zbib, H. M. Determination of dislocation interaction strengths using discrete dislocation dynamics of curved dislocations. J. Eng. Mater. Technol. 134, 021018 (2012).10.1115/1.4005917 ↗
25. Wang, Y. U., Jin, Y. M., Cuitino, A. M. & Khachaturyan, A. G. Nanoscale phase field microelasticity theory of dislocations: model and 3D simulations. Acta Mater. 49, 1847–1857 (2001).10.1016/S1359-6454(01)00075-1 ↗
26. Chen, L. Q. Phase-field models for microstructure evolution. Annu. Rev. Mater. Res. 32, 113–140 (2002).10.1146/annurev.matsci.32.112001.132041 ↗
27. Koslowski, M., Cuitino, A. M. & Ortiz, M. A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. J. Mech. Phys. Solids 50, 2597–2635 (2002).10.1016/S0022-5096(02)00037-6 ↗
28. Rodney, D., Le Bouar, Y. & Finel, A. Phase field methods and dislocations. Acta Mater. 51, 17–30 (2003).10.1016/S1359-6454(01)00379-2 ↗
29. Wang, Y. & Li, J. Phase field modeling of defects and deformation. Acta Mater. 58, 1212–1235 (2010).10.1016/j.actamat.2009.10.041 ↗
30. Beyerlein, I. J. & Hunter, A. Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics. Philos. Trans. R. Soc. A 374, 20150166 (2016).10.1098/rsta.2015.0166 ↗
31. Shen, C. & Wang, Y. Incorporation of γ-surface to phase field model of dislocations: simulating dislocation dissociation in fcc crystals. Acta Mater. 52, 683–691 (2004).10.1016/j.actamat.2003.10.014 ↗
32. Hunter, A., Beyerlein, I. J., Germann, T. C. & Koslowski, M. Influence of the stacking fault energy surface on partial dislocations in fcc metals with a three-dimensional phase field dislocations dynamics model. Phys. Rev. B 84, 144108 (2011).10.1103/PhysRevB.84.144108 ↗
33. Cao, L., Hunter, A., Beyerlein, I. J. & Koslowski, M. The role of partial mediated slip during quasi-static deformation of 3d nanocrystalline metals. J. Mech. Phys. Solids 78, 415–426 (2015).10.1016/j.jmps.2015.02.019 ↗
34. Zheng, S. L., Ni, Y. & He, L. H. Phase field modeling of a glide dislocation transmission across a coherent sliding interface. Model. Simul. Mater. Sci. Eng. 23, 035002 (2015).10.1088/0965-0393/23/3/035002 ↗
35. Zheng, S. L., Ni, Y. & He, L. H. Alternative transmission mode and long stacking fault formation during a dissociated screw dislocation across a coherent sliding interface. J. Phys. D 48, 395301 (2015).10.1088/0022-3727/48/39/395301 ↗
36. Khachaturyan, A. G. Some questions concerning the theory of phase transformations in solids. Sov. Phys. Solid State 8, 2163–2168 (1967).
37. Khachaturyan, A. G. & Shatalov, G. A. Elastic interaction potential of defects in a crystal. Sov. Phys. Solid State 11, 118–123 (1969).
38. Khachaturyan, A. G. Theory of Structural Transformations in Solids (Wiley, Hoboken, 1983).
39. Shen, C. & Wang, Y. Phase field model of dislocation networks. Acta Mater. 51, 2595–2610 (2003).10.1016/S1359-6454(03)00058-2 ↗
40. Ruffini, A., Le Bouar, Y. & Finel, A. Three-dimensional phase-field model of dislocations for a heterogeneous face-centered cubic crystal. J. Mech. Phys. Solids 105, 95–115 (2017).10.1016/j.jmps.2017.04.008 ↗
41. Peierls, R. The size of a dislocation. Proc. Phys. Soc. 52, 34–37 (1940).10.1088/0959-5309/52/1/305 ↗
42. Nabarro, F. R. N. Dislocations in a simple cubic lattice. Proc. Phys. Soc. 59, 256–272 (1947).10.1088/0959-5309/59/2/309 ↗
43. Khachaturyan, A. G. in The Science of Alloys for the 21st Century: A Hume–Rothery Symposium Celebration (eds Turchi, P. E. A., Shull, R. D. & Gonis, A.) 293–308 (St Louis, 2000).