Abstract
Semicoherent interfaces containing discrete dislocations are more energetically favorable than those containing continuous distributions because of lower chemical energy. The classical Frank-Bilby theory provided a way to determine the interface Burgers vectors content but could not effectively predict the characteristics of discrete dislocations. Atomistic simulations provide insights into analyzing the characteristics of discrete dislocations but the analysis is often disturbed by the reaction of interface dislocations. By combining the classical Frank-Bilby theory and atomistic simulations, an atomically informed Frank-Bilby theory proposed in this work can overcome shortcomings in both the classic Frank-Bilby theory and atomistic simulations, and enable quantitative analysis of interface dislocations. The proposed method has been demonstrated via studying two typical dissimilar metallic interfaces. The results showed that Burgers vectors of interface dislocations can be well defined in a Commensurate/Coherent Dichromatic Pattern (CDP) and the Rotation CDP (RCDP) lattices. Most importantly, the CDP and RCDP lattices are not simply a geometric average of the two natural lattices, that is the lattice misfit and the relative twist take the nonequal partition of the misfit strain and the twist angle.
Similar content being viewed by others
References
I.J. Beyerlein, N.A. Mara, J. Wang, J.S. Carpenter, S.J. Zheng, W.Z. Han, R.F. Zhang, K. Kang, T. Nizolek, and T.M. Pollock: Structure-property-functionality of bi-metal interfaces. JOM 64 (10), 1192 (2012).
M.J. Demkowicz, J. Wang, and R.G. Hoagland: Interfaces between dissimilar crystalline solids, in Dislocations in Solids, Vol. 14, Chap. 83, edited by J.P. Hirth (Elsevier, Amsterdam, 2008); p. 141–207.
N.Q. Vo, R.S. Averback, Y. Ashkenazy, P. Bellon, and J. Wang: Forced chemical mixing at Cu-Nb interfaces under severe plastic deformation. J. Mater. Res. 27 (12), 1621 (2012).
J. Wang and A. Misra: An overview of interface-dominated deformation mechanisms in metallic multilayers. Curr. Opin. Solid State Mater. Sci. 15, 20 (2011).
J. Wang, K. Kang, R.F. Zhang, S.J. Zheng, I.J. Beyerlein, and N. Mara: Structure and property of interfaces in ARB Cu/Nb laminated composites. JOM 64 (10), 1208 (2012).
J.P. Hirth, R.C. Pond, R.G. Hoagland, X.Y. Liu, and J. Wang: Interface defects, reference spaces and the Frank-Bilby equation. Prog. Mater. Sci. (2012) http://dx.doi.org/10.1016/j.pmatsci.2012.10.002.
J. Wang, R.G. Hoagland, X.Y. Liu, and A. Misra: The influence of interface shear strength on the glide dislocation-interface interactions. Acta Mater. 59 (8), 3164 (2011).
J. Wang, R.G. Hoagland, J.P. Hirth, and A. Misra: Atomistic simulations of the shear strength and sliding mechanisms of copper-niobium interfaces. Acta Mater. 56, 3109 (2008).
J. Wang, A. Misra, and J.P. Hirth: Shear response of S3112 twin boundaries in face centered cubic metals. Phys. Rev. B 83, 064106 (2011).
R.F. Zhang, J. Wang, I.J. Beyerlein, A. Misra, and T.C. Germann: Atomic-scale study of nucleation of dislocations from fcc-bcc interfaces. Acta Mater. 60 (6-7), 2855 (2012).
S.J. Zheng, I.J. Beyerlein, J. Wang, J.S. Carpenter, W.Z. Han, and N.A. Mara: Deformation twinning mechanisms from bi-metal interfaces as revealed by in-situ straining in the TEM. Acta Mater. 60 (10), 5858 (2012).
W.Z. Han, J.S. Carpenter, J. Wang, I.J. Beyerlein, and N.A. Mara: Atomic-level study of twin nucleation from face-centered-cubic/body-centered-cubic interfaces in nanolamellar composites. Appl. Phys. Lett. 100, 011911 (2012).
R.F. Zhang, T.C. Germann, J. Wang, X-Y. Liu, and I.J. Beyerlein: Role of interface structure on the plastic response of Cu/Nb nanolaminates under shock compression: Non-equilibrium molecular dynamics simulations. Scr. Mater. 68 (2), 114 (2013).
K. Kang, J. Wang, S.J. Zheng, and I.J. Beyerlein: Minimum energy structures faceted, incoherent interfaces. J. Appl. Phys. 112, 073501 (2012).
R.F. Zhang, J. Wang, I.J. Beyerlein, and T.C. Germann: Dislocation nucleation mechanisms from fcc/bcc incoherent interfaces. Scr. Mater. 65, 1022 (2011).
F.C. Frank: Report of the Symposium on the Plastic Deformation of Crystalline Solids (Carnegie Institute of Technology, Pittsburgh, PA, 1950), p. 150.
B.A. Bilby: Report of the Conference on Defects in Crystalline Solids (Physical Soc, London; 1955), p. 124.
W. Bollmann: Crystal Defects and Crystalline Interfaces (Springer-erlag, Berlin, 1970).
W. Bollmann: On the geometry of grain and phase boundaries I. General theory. Philos. Mag. 16, 363 (1967).
W. Bollmann: On the geometry of grain and phase boundaries II. Applications of general theory. Philos. Mag. 16, 383 (1967).
W. Bollmann: On the analysis of dislocation networks. Philos. Mag. 7, 1513 (1962).
J.P. Hirth and J. Lothe: Theory of Dislocations (Wiley, New York, 1982).
R.C. Pond and J.P. Hirth, in: Solid State Physics, F. Seitz and D. Turnbull eds., Vol. 47; Academic Press, New York, NY, 1994, p. 287.
A.P. Sutton and R.W. Balluffi: Interfaces in Crystalline Materials (Oxford University Press, Oxford, 1995).
N. Nakanishi: New aspects of martensitic transformation. Trans. JIM 17, 211 (1976).
H. Gleiter: On the structure of grain boundaries in metals. Mater. Sci. Eng. 52, 91 (1982).
P.J. Goodhew, T.P. Darby, and R.W. Balluffi: The structure of low angle <110> twist boundaries in gold. Scr. Metall. 10, 495 (1976).
P. Kluge-Weiss and H. Gleiter: Electron microscopic observations on the structure of dislocations in interphase boundaries. Acta Metall. 26, 117 (1978).
C.T. Forwood and L.M.C. Clarebrough: Electron Microscopy of Interfaces in Metals and Alloys (Adam Hilger, Bristol, England, 1991).
P.J. Goodhew: The relationship between structure and energy in grain boundaries, in ASM Materials Seminor on Grain Boundary Structure and Kinetics, Milwaukee, WI, September 15, 16, 1979, edited by P. Goodhew and R.W. Balluffi (American Society for Metals, Metals Park, OH, 1980), p. 155.
K. Kang, J. Wang, and I.J. Beyerlein: Atomic structure variations of mechanically stable fcc-bcc interfaces. J. Appl. Phys. 111 (5), 053531 (2012).
M.J. Demkowicz, R.G. Hoagland, and J.P. Hirth: Interface structure and radiation damage resistance in Cu-Nb multilayer nanocomposites. Phys. Rev. Lett. 100, 136102 (2008).
K.M. Knowles: The dislocation geometry of interphase boundaries. Philos. Mag. A 46, 951 (1982).
X. Sauvage, L. Renaud, B. Deconihout, D. Blavette, D.H. Ping, and K. Hono: Solid state amorphization in cold drawn Cu/Nb wires. Acta Mater. 49, 389 (2001).
J. Wang, R.G. Hoagland, J.P. Hirth, and A. Misra: Atomistic modeling of the interaction of glide dislocations with “weak” interfaces. Acta Mater. 56, 5685 (2008).
R.A. Johnson and D.J. Oh: Analytic embedded atom method model for bcc metals. J. Mater. Res. 4, 1195 (1989).
X.Y. Liu, R.G. Hoagland, J. Wang, T. C. Germann, and A. Misra: The influence of dilute heats of mixing on the atomic structures, defect energetics and mechanical properties of fcc-bcc interfaces. Acta Mater. 58, 4549 (2010).
M.J. Demkowicz and R.G. Hoagland: Simulations of collision cascades in Cu-Nb layered composites using an eam interatomic potential. Int. J. Appl. Mech. 1, 421 (2009).
J. Wang, R.G. Hoagland, and A. Misra: Phase transition and dislocation nucleation in Cu-Nb layered composites during physical vapor deposition. J. Mater. Res. 23 (4), 1009 (2008).
J. Wang and H.C. Huang: Novel deformation mechanism of twinned nanowires. Appl. Phys. Lett. 88, 203112 (2006).
J. Wang, H. Huang, S.V. Kesapragada, and D. Gall: Growth of Y-shaped nanorods through physical vapor deposition. Nano Lett. 5 (12), 2505 (2005).
N.M. Ghoniem, S. Tong, and Z.L. Sun: Parametric dislocation dynamics: A thermodynamics-based approach to investigations of mesoscopic plastic deformations. Phys. Rev. B 61, 913 (2000).
Acknowledgments
This work was supported by the center for Materials at Irradiation and Mechanical Extremes, an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Grant No. 2008LANL1026. JW and IJB also thank the support provided by a Los Alamos National Laboratory Directed Research and Development project ER20110573 and DR20110029. CZZ thanks the support provided by CNLS at Los Alamos National Laboratory.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, J., Zhang, R., Zhou, C. et al. Characterizing interface dislocations by atomically informed Frank-Bilby theory. Journal of Materials Research 28, 1646–1657 (2013). https://doi.org/10.1557/jmr.2013.34
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/jmr.2013.34