Mechanical properties of twist grain boundaries in Cu
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Abstract
In a previous paper we studied the Young's and shear modulus of a high-angle twist grain boundary (Σ5) in Cu, using the EAM, and related it to the uniaxial strain derivatives of single crystals. In this paper, we discuss elastic properties of ten additional twist grain boundaries, from 8.8–43.6°. The monolayer Young's modulus at each boundary was calculated and found to be 20–50% higher than the bulk value for all eleven boundaries for both csl and type1 structures. The monolayer shear modulus at each boundary was calculated and found to be 93–98% lower than the bulk value for six grain boundaries with csl structure and found to decrease with increasing twist angle. The critical shear stress was also calculated for eleven boundaries with csl structure and found to roughly decrease with increasing twist angle.
Keywords
Grain boundaries mechanical properties computer simulationPreview
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References
- 1.T. Schober and R.W. Balluffi, Philos. Mag.20, 511 (1969).Google Scholar
- 2.T. Schober and R.W. Balluffi, Philos. Mag.21, 108 (1970).Google Scholar
- 3.W. Krakow and D.A. Smith, J. Mater. Res.1, 47 (1986).Google Scholar
- 4.J. Budai, P.D. Bristowe, and S.L. Sass Acta Metall.31, 698 (1983).Google Scholar
- 5.M.R. Fitzsimmons and S.L. Sass, Acta Metall.37, 1009 (1989).Google Scholar
- 6.M.R. Fitzsimmons and S.L. Sass, Acta Metall.36, 3103 (1988).Google Scholar
- 7.I. Majid, P.D. Bristowe, and R.W. Balluffi, Phys Rev. B40, 2779 (1989).Google Scholar
- 8.G.-J. Wang, A.P. Sutton, and V. Vitek, Acta Metall.32, 1093 (1984).Google Scholar
- 9.P.D. Bristowe and R.W. Balluffi, J. Phys. (Paris) Colloq.46, C4–155 (1985).Google Scholar
- 10.Y. Oh and V. Vitek, Acta Metall.34, 1941 (1986).Google Scholar
- 11.S.M. Foiles, Acta Metall.37, 2815 (1989).Google Scholar
- 12.T. Tsakalakos and A.F. Jankowski, Ann. Rev. Mater. Sci.16, 293 (1986).Google Scholar
- 13.A.F. Jankowski “Implications of Interface Structure on the Elastic Properties of Metallic Multilayers—the Case of the Supermodulus effect” in Structure/Property Relationships For Metal/Metal Interfaces, ed. A.D. Romig, Jr., D.E. Fowler, and P.D. Bristowe, Materials Research Society Symposia Proceedings,229 (1991).Google Scholar
- 14.M.D. Kluge, D. Wolf, J.F. Lutsko, and S.R. Phillpot, J. Appl. Phys.67, 2370 (1990).Google Scholar
- 15.D. Wolf, Acta Metall.37, 1983 (1989).Google Scholar
- 16.D. Wolf and M.D. Kluge, Scr. Meta.24, 907 (1990).Google Scholar
- 17.D. Wolf and J.F. Lutsko, J. Mater. Res.4, 1427 (1989).Google Scholar
- 18.D. Wolf and J.F. Lutsko, Phy. Rev. Lett,60, 1170 (1988).Google Scholar
- 19.D. Wolf and J. Lutsko, “Computer Simulation of Elastic Structural Anomalies of Thin Films and Superlattices” to be published in Scr. Met.Google Scholar
- 20.S.R. Phillpot and D. Wolf, J. Am. Cer. Soc.73, 933 (1990).Google Scholar
- 21.S.R. Phillpot, D. Wolf, and J.F. Lutsko, J. Appl. Phys.67, 6747 (1990).Google Scholar
- 22.J.B. Adams, W.G. Wolfer, and S.M. Foiles, Phys. Rev. B.40, 9479 (1989).Google Scholar
- 23.M.S. Daw and M.I. Baskes, Phys. Rev. B29, 6443 (1984).Google Scholar
- 24.S.M. Foiles, M.I. Baskes, and M.S. Daw, Phys. Rev. B33, 7983 (1986). errata, Phys. Rev. B,33, 7983 (1986).Google Scholar
- 25.P.D. Bristowe and A.G. Crocker, Phil. Mag. A38, 487 (1978).Google Scholar
- 26.I. Alber, J.L. Bassani, M. Khantha, V. Vitek, and G.J. Wang, “Grain Boundaries as Heterogeneous Systems: Atomic and Continuum Elastic Properties” to be published in Philosophical Transaction of Royal Society of London.Google Scholar
- 27.J. Garstone and R.W.K. Honeycombe inDislocations and Mechanical Properties of Crystals P. 391 John Wiley NY (1957).Google Scholar
- 28.A.P. Sutton and V. Vitek, Phil. Trans. R. Soc. L. A309, 1 (1983).Google Scholar
- 29.D. Wolf, Scr. Meta.23, 1913 (1989).Google Scholar