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A Dislocation Model for the Directional Anisotropy of Grain-Boundary Fracture

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References

  1. A.A. Griffith, Philos. Trans. R. Soc. London, Ser. A 221 (1921) p. 163.

    Google Scholar 

  2. A.A. Griffith, in Proc. 1st Int. Cong. on Applied Mechanics, edited by C.B. Biezeno and J.M. Burgers (J. Waltman Jr. Delft, Netherlands, 1924) p. 55.

  3. E. Orowan, Rep. Progr. Phys. 12 (1949) p. 48.

    Google Scholar 

  4. J.J. Gilman, J. Appl. Phys. 31 (1960) p. 2208.

    Google Scholar 

  5. C.E. Inglis, Proc. Inst. Naval Architects 55 (1913) p. 219.

    Google Scholar 

  6. E. Orowan, Trans. Inst. Engrs. Shipbuilder Scot. 89 (1945) p. 165.

    Google Scholar 

  7. J.R. Rice, in Proc. 1st Int. Conf. on Fracture, edited by T. Yokobori, T. Kawasaki, and J.L. Swedlow (Japanese Society for Strength and Fracture of Materials, Tokyo, Japan, 1966) p. 309.

  8. E.D. Hondros and M.P. Seah, Int. Metal. Rev. 222 (1977) p. 262.

    Google Scholar 

  9. R. Thomson, J. Mater. Sci. 13 (1978) p. 128.

    Google Scholar 

  10. J. Frenkel, Z. Phys. 37 (1929) p. 572.

    Google Scholar 

  11. S. Kohlhoff, P. Gumbsch, and H.F. Fischmeister, Philos. Mag. A 64 (4) (1991) p. 851.

    Google Scholar 

  12. J.R. Rice, J. Mech. Phys. Solids 40 (1992) p. 239.

    Google Scholar 

  13. Y. Sun, G.E. Beltz, and J.R. Rice, Mater. Sci. Eng., A 72 (1993) p. 67.

    Google Scholar 

  14. W. Yang, H. Tan, and T. Guo, Modell. Simul. Mater. Sci. Eng. 2 (3A) (1994) p. 767.

    Google Scholar 

  15. G.E. Beltz and L.B. Freund, Philos. Mag. A 69 (1994) p. 183.

    Google Scholar 

  16. G. Xu, A.S. Argon, and M. Ortiz, Philos. Mag. A 72 (2) (1995) p. 415.

    Google Scholar 

  17. G. Xu, A.S. Argon, and M. Ortiz, Philos. Mag. A 75 (2) (1997) p. 341.

    Google Scholar 

  18. G.E. Beltz, J.R. Rice, C.F. Shih, and L. Xia, Acta Mater. 44 (10) (1996) p. 3943.

    Google Scholar 

  19. D.M. Lipkin and G.E. Beltz, Acta Mater. 44 (4) (1996) p. 1287.

    Google Scholar 

  20. D.M. Lipkin, D.R. Clarke, and G.E. Beltz, Acta Mater. 44 (10) (1996) p. 4051.

    Google Scholar 

  21. R. Miller, R. Phillips, G.E. Beltz, and M. Ortiz, J. Mech. Phys. Solids 46 (1998) p. 1845.

    Google Scholar 

  22. G.E. Beltz, D.M. Lipkin, and L.L. Fischer, Phys. Rev. Lett. 82 (1999) p. 4468.

    Google Scholar 

  23. G.E. Beltz and L.L. Fischer, Philos. Mag. A 79 (6) (1999) p. 1367.

    Google Scholar 

  24. J.-S. Wang and P.M. Anderson, Acta Metall. Mater. 39 (5) (1991) p. 779.

    Google Scholar 

  25. J. Riedle, P. Gumbsch, and H.F. Fischmeister, Phys. Rev. Lett. 76 (19) (1996) p. 3594.

    Google Scholar 

  26. C. Herring, in Structure and Properies of Solid Surfaces, edited by R. Gomer and C.S. Smith (University of Chicago Press, Chicago, 1953) p. 5.

  27. J.R. Rice, in Fracture: An Advanced Treatise, Vol. 2, edited by H. Liebowitz (Academic Press, New York, 1968) p. 191.

    Google Scholar 

  28. J.R. Rice, J. Appl. Mech. 35 (1968) p. 379.

    Google Scholar 

  29. R. Thomson, C. Hsieh, and V. Rana, J. Appl. Phys. 42 (8) (1971) p. 3154.

    Google Scholar 

  30. E.R. Fuller and R. Thomson, in Proc. 4th Int. Conf. on Fracture, Vol. 3, edited by D.M.R. Taplin (Pergamon Press, Oxford, 1978) p. 387.

    Google Scholar 

  31. D. Farkas, Philos. Mag. Lett. 80 (4) (2000) p. 229.

    Google Scholar 

  32. F.R.N. Nabarro, Theory of Crystal Dislocations (Clarendon Press, Oxford, 1967).

    Google Scholar 

  33. J.P. Hirth and J. Lothe, Theory of Dislocations, 2nd ed. (John Wiley & Sons, New York, 1982).

    Google Scholar 

  34. D. Hull and D.J. Bacon, Introduction to Dislocations, 3rd ed. (Pergamon Press, New York, 1984).

    Google Scholar 

  35. R. Thomson, in Solid State Physics, edited by H. Ehrenreich and D. Turnbull (Academic Press, New York, 1986) p. 1.

  36. J. Kratochvíl, Czech. J. Phys. B 11 (1961) p. 324.

    Google Scholar 

  37. J.P. Hirth, Acta Mater. 47 (1) (1999) p. 1.

    Google Scholar 

  38. I.-H. Lin and J.P. Hirth, Philos. Mag. A 50 (6) (1984) p. L43.

    Google Scholar 

  39. T.-Y. Zhang and J.C.M. Li, Acta Metall. Mater. 39 (11) (1991) p. 2739.

    Google Scholar 

  40. R.E. Peierls, Proc. Phys. Soc. 52 (1940) p. 23.

    Google Scholar 

  41. F.R.N. Nabarro, Proc. Phys. Soc., London 59 (1947) p. 256.

    Google Scholar 

  42. P.G. Shewmon, Transformations in Metals (J.Williams, Jenks, OK, 1983) p. 26.

    Google Scholar 

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Authors
  1. Glenn E. Beltz
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  2. Don M. Lipkin
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Beltz, G.E., Lipkin, D.M. A Dislocation Model for the Directional Anisotropy of Grain-Boundary Fracture. MRS Bulletin 25, 21–26 (2000). https://doi.org/10.1557/mrs2000.69

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