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Distribution of dislocations at a mode I crack tip and their shielding effect

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Abstract

Distribution of dislocations at a finite mode I crack tip is formulated. Closed form solutions for the dislocation distribution function, the dislocation-free zone (DFZ), the local stress intensity factor and the crack tip stress field are obtained. The dislocation distribution has similar features to a mode III crack model. Under a given applied stress, there may exist different configurations of plastic zone and DFZ. Crack tip shielding by dislocations depends on both applied stresses and the configuration.

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References

  • Abramowitz, M. and Stegun, I.A. (1972). Handbook of Mathematical Functions, Dover Publications, New York.

    Google Scholar 

  • Chang, S.T. and Ohr, S.M. (1981). Dislocation-free zone model of fracture, Journal of Applied Physics 52, 7174-7181.

    Google Scholar 

  • Chen, J. and Takezono, S. (1995). The dislocation-free zone at a mode I crack tip, Engineering Fracture Mechanics 50, 165-173.

    Google Scholar 

  • Kobayashi, S, and Ohr, S.M. (1984). Dislocation arrangement in the plastic zone of propagating cracks in nickel, Journal of Materials Science 19, 2273-2277.

    Google Scholar 

  • Lakshmanan, V. and Li, J.C.M. (1988). Edge dislocations emitted along inclined places from a mode I crack, Materials Science and Engineering A104, 95-104.

    Google Scholar 

  • Lardner, R.W. (1974). Mathematical Theory of Dislocations and Fracture, University of Toronto Press, Toronto.

    Google Scholar 

  • Li, C., Zhao, H., Zhan, Z. and Zhou, H. (1992). The DFZ model of fracture at crack tip and crack initiation criterion, Engineering Fracture Mechanics 43, 1009-1017.

    Google Scholar 

  • Lin, I.H. and Thomson, R. (1986). Cleavage, dislocation emission, and shielding for cracks under general loading, Acta Metallurgica 34, 187-206.

    Google Scholar 

  • Ohr, S.M. (1985). An electron microscope study of crack tip deformation and its impact on the dislocation theory of fracture, Materials Science Engineering 72, 1-35.

    Google Scholar 

  • Otsuki, Y. (1983). Mathematical Formulas (translated from Russian), Maruzen, Tokyo.

    Google Scholar 

  • Rice, J.R. and Thomson, R. (1974). Ductile versus brittle behavior of crystals, Philosophical Magazine 29, 73-97.

    Google Scholar 

  • Schoeck, G. (1991). Dislocation emission from crack tips, Philosophical Magazine A63, 111-120.

    Google Scholar 

  • Sinclair, J.E. and Finnis, M.W. (1983). Crack tip blunting versus cleavage extension, in Atomistics of Fracture (Edited by R.M. Latanision and J.R. Pickens), Plenum Press, New York, 1047-1051.

    Google Scholar 

  • Weertman, J. (1996). Dislocation Based Fracture Mechanics, World Scientific Publishing, Singapore.

    Google Scholar 

Download references

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Chen, J., Kitaoka, S. Distribution of dislocations at a mode I crack tip and their shielding effect. International Journal of Fracture 100, 307–320 (2000). https://doi.org/10.1023/A:1018681016860

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  • DOI: https://doi.org/10.1023/A:1018681016860

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