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.
Similar content being viewed by others
References
J. R. Rice and R. Thomson, Philos. Mag. 29, 73 (1974).
S. T. Shiue and S. Lee, Eng. Fract. Mech. 22, 1105 (1985).
B. S. Majumdar and S. J. Burns, Acta Metall. 29, 579 (1981).
R. R. Juang and S. Lee, J. Appl. Phys. 59, 3421 (1986).
S. N. G. Chu, J. Appl. Phys. 53, 8678 (1982).
A. C. Eringen, J. Appl. Phys. 54, 6811 (1983).
H. Ο. K. Kirchner and G. Michot, Mater. Sci. Eng. 79, 169 (1986).
J. D. Eshelby, Phys. Rev. 90, 248 (1953).
A. N. Stroh, Phys. Rev. 128, 55 (1962).
F. R. N. Nabarro, Philos. Mag. 6, 1261 (1961).
J. Lothe, Phys. Rev. 122, 78 (1961).
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.
J. Weertman and J. R. Weertman, Dislocation in Solids, edited by F. R. N. Nabarro (North-Holland, Amsterdam, 1980), Chap. 8.
F. Lund, Phys. Rev. Lett. 54, 14 (1985).
F. Lund, J. Mater. Res. 3, 280 (1988).
I. H. Lin and R. Thomson, Acta Metall. 34, 187 (1986).
L. M. Brock, J. Mech. Phys. Solids, 37, 47 (1989).
R. H. Zhao, S. H. Dai, and J. C. M. Li, Int. J. Fract. 29, 3 (1985).
R. H. Zhao and J. C. M. Li, J. Appl. Phys. 58, 4117 (1985).
C. C. Huang, S. Lee, and C. C. Yu, Phys. Status Solidi (a) 140, 369 (1994).
C. C. Huang, C. C. Yu, and S. Lee, J. Mater. Res. 10, 183 (1995).
Y. Z. Tsai and S. Lee, J. Appl. Phys. 72, 2164 (1992).
N. I. Muskhelishvili, Singular Integral Equations (Noordhoff, Groningen, 1953).
F. C. Frank, Proc. Phys. Soc. (London) 62A, 131 (1949).
R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (1964) (Addison-Wesley, Reading, MA), Vol. 2, Chap. 26.
F. R. N. Nabarro, Proc. R. Soc. London 209A, 278 (1951).
B. A. Bilby, A. H. Cottrell, and K. H. Swinden, Proc. R. Soc. London 272A, 304 (1963).
S. M. Ohr, J. Mater. Sci. Eng. 72, 1 (1985).
B. S. Majumdar and S. J. Burns, Int. J. Fracture 21, 229 (1983).
S. J. Chang and S. M. Ohr, J. Appl. Phys. 52, 7174 (1981).
S. J. Chang and S. M. Ohr, J. Appl. Phys. 53, 5645 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/JMR.1995.2668