Abstract
An edge dislocation of constant velocity near a static internal crack was investigated. The dislocation slip and climb and dislocation source were considered. The crack surface was simulated with static continuous dislocations. After obtaining the distribution of static dislocations in the crack, we calculated the stress field in the entire space. Using the stress distribution, we then computed the stress intensity factors at both crack tips and the image force on the edge dislocation. Numerical results are provided to describe in detail the effect of velocity and crack length on toughness and image force.
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References
F.C. Frank, Proceedings of the Physical Society, London, A 62A (1949) 131.
J.D. Eshelby, Proceedings of the Physical Society, London, A 62A (1949) 307.
D.D. Ang and M.L. Williams, Proceeding 4th Midwestern Conference on Solid Mechanics, University of Texas Press, Austin (1959) 36.
J. Weertman, Journal of Applied Physics 38 (1967) 2612.
J. Weertman, Mathematical Theory of Dislocations, T. Mura (ed.), American Society of Mechanical Engineers, New York (1969) 178.
F.R.N. Nabarro, Philosophical Magazine 42 (1951) 1224.
T. Mura, Philosophical Magazine 8 (1963) 843.
J.D. Eshelby, Physical Review 90 (1953) 248.
F. Lund, Physical Review Letters 54 (1985) 14.
F. Lund, Journal of Materials Research 3 (1988) 280.
S.M. Ohr, Materials Science and Engineering 72 (1985) 1.
T.Y. Zhang and J.C.M. Li, Materials Science and Engineering A 142 (1991) 35.
T.Y. Zhang and J.C.M. Li, Acta Metallurgica 39 (1991) 2739.
S.D. Wang and S. Lee, Materials Science and Engineering A 130 (1990) 1.
J.R. Rice and R. Thomson, Philosophical Magazine 29 (1974) 73.
S.T. Shiue and S. Lee, Engineering Fracture Mechanics 22 (1985) 1105.
I.H. Lin and R. Thomson, Acta Metallurgica 34 (1986) 187.
V. Lakshmanan and J.C.M. Li, Materials Science and Engineering A 104 (1988) 95.
R.H. Zhao, S.H. Dai and J.C.M. Li, International Journal of Fracture 29 (1985) 3.
R.H. Zhao and J.C.M. Li, Journal of Applied Physics 58 (1985) 4117.
C.C. Huang, S. Lee and C.C. Yu, Phys. Stat. Sol.(a) 140 (1994) 369.
Y.Z. Tsai and S. Lee, Journal of Applied Physics 73 (1993) 4869.
N.I. Muskhelishvili, Singular Integral Equations, Noordhoff, Groningen (1953).
M. Sakamoto, Philosophical Magazine, A 63A (1991) 1241.
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Tsai, YZ., Tu, C.T. & Lee, S. An edge dislocation of constant velocity near a static internal crack. Int J Fract 71, 15–35 (1995). https://doi.org/10.1007/BF00019339
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DOI: https://doi.org/10.1007/BF00019339