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Elastic interaction between a moving screw dislocation and a surface crack

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Abstract

A moving screw dislocation near a surface crack was investigated using dislocation modeling. Motion directions parallel (x direction) and perpendicular (y direction) to the crack surface were considered. Due to the free surface, the net Burgers vector inside the crack is zero. After obtaining the dislocation distribution in the crack, we calculated the stress field in the medium. Relative to a static screw dislocation, the magnitude of σyz due to the moving screw dislocation decreases with increasing velocity Vx. Generally, the effect of dislocation shielding on fracture is reduced if the velocity Vx increases. The magnitude of the image force of the dislocation also decreases with increasing velocity Vx. The effect of velocity along the y direction on the stress intensity factor and image force has the opposite trend to that along the x direction. The present result can reduce to a moving dislocation near a semi-infinite crack and a static dislocation near a surface crack.

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References

  1. J. R. Rice and R. Thomson, Philos. Mag. 29, 73 (1974).

    Article  CAS  Google Scholar 

  2. S. T. Shiue and S. Lee, Eng. Fract. Mech. 22, 1105 (1985).

    Article  Google Scholar 

  3. B. S. Majumdar and S. J. Burns, Acta Metall. 29, 579 (1981).

    Article  CAS  Google Scholar 

  4. R. R. Juang and S. Lee, J. Appl. Phys. 59, 3421 (1986).

    Article  CAS  Google Scholar 

  5. S. N. G. Chu, J. Appl. Phys. 53, 8678 (1982).

    Article  CAS  Google Scholar 

  6. A. C. Eringen, J. Appl. Phys. 54, 6811 (1983).

    Article  CAS  Google Scholar 

  7. H. Ο. K. Kirchner and G. Michot, Mater. Sci. Eng. 79, 169 (1986).

    Article  Google Scholar 

  8. J. D. Eshelby, Phys. Rev. 90, 248 (1953).

    Article  Google Scholar 

  9. A. N. Stroh, Phys. Rev. 128, 55 (1962).

    Article  Google Scholar 

  10. F. R. N. Nabarro, Philos. Mag. 6, 1261 (1961).

    Article  Google Scholar 

  11. J. Lothe, Phys. Rev. 122, 78 (1961).

    Article  CAS  Google Scholar 

  12. J. Weertman, in Response of Metals to High Velocity Deformation, edited by P. G. Shewmon and V. F. Zackay (Interscience, New York, 1961), p. 205.

    Google Scholar 

  13. J. Weertman and J. R. Weertman, Dislocation in Solids, edited by F. R. N. Nabarro (North-Holland, Amsterdam, 1980), Chap. 8.

    Google Scholar 

  14. F. Lund, Phys. Rev. Lett. 54, 14 (1985).

    Article  CAS  Google Scholar 

  15. F. Lund, J. Mater. Res. 3, 280 (1988).

    Article  Google Scholar 

  16. I. H. Lin and R. Thomson, Acta Metall. 34, 187 (1986).

    Article  CAS  Google Scholar 

  17. L. M. Brock, J. Mech. Phys. Solids, 37, 47 (1989).

    Article  Google Scholar 

  18. R. H. Zhao, S. H. Dai, and J. C. M. Li, Int. J. Fract. 29, 3 (1985).

    Article  Google Scholar 

  19. R. H. Zhao and J. C. M. Li, J. Appl. Phys. 58, 4117 (1985).

    Article  CAS  Google Scholar 

  20. C. C. Huang, S. Lee, and C. C. Yu, Phys. Status Solidi (a) 140, 369 (1994).

    Article  Google Scholar 

  21. C. C. Huang, C. C. Yu, and S. Lee, J. Mater. Res. 10, 183 (1995).

    Article  CAS  Google Scholar 

  22. Y. Z. Tsai and S. Lee, J. Appl. Phys. 72, 2164 (1992).

    Article  CAS  Google Scholar 

  23. N. I. Muskhelishvili, Singular Integral Equations (Noordhoff, Groningen, 1953).

    Google Scholar 

  24. F. C. Frank, Proc. Phys. Soc. (London) 62A, 131 (1949).

    Article  Google Scholar 

  25. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (1964) (Addison-Wesley, Reading, MA), Vol. 2, Chap. 26.

    Book  Google Scholar 

  26. F. R. N. Nabarro, Proc. R. Soc. London 209A, 278 (1951).

    Google Scholar 

  27. B. A. Bilby, A. H. Cottrell, and K. H. Swinden, Proc. R. Soc. London 272A, 304 (1963).

    Google Scholar 

  28. S. M. Ohr, J. Mater. Sci. Eng. 72, 1 (1985).

    Article  CAS  Google Scholar 

  29. B. S. Majumdar and S. J. Burns, Int. J. Fracture 21, 229 (1983).

    Article  Google Scholar 

  30. S. J. Chang and S. M. Ohr, J. Appl. Phys. 52, 7174 (1981).

    Article  CAS  Google Scholar 

  31. S. J. Chang and S. M. Ohr, J. Appl. Phys. 53, 5645 (1982).

    Article  Google Scholar 

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Tsai, YZ., Hu, C.T. & Lee, S. Elastic interaction between a moving screw dislocation and a surface crack. Journal of Materials Research 10, 2668–2675 (1995). https://doi.org/10.1557/JMR.1995.2668

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  • DOI: https://doi.org/10.1557/JMR.1995.2668

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