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The effect of grain-size on the stress and velocity fields ahead of a crack in a material which deforms by Coble creep

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Abstract

The stress and velocity fields ahead of a grain-boundary crack in a material which deforms by Coble creep are investigated for a series of grain sizes using the numerical analysis technique established by Cocks [1–3]. The numerical results are compared with the linear viscous fields obtained by the boundary element method and the finite element method. It is demonstrated that a detailed knowledge of the micromechanical processes of material transport and deformation are required to determine the stress and displacement fields for the grains which immediately surround the crack tip. But the response of the surrounding material can be adequately described from a conventional linear viscous analysis of the problem.

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References

  1. A.C.F.Cocks, Applied Solid Mechanics 3, I.M.Allison and C.Ruiz (eds.), Elsevier, North Holland (1989).

    Google Scholar 

  2. A.C.F.Cocks and A.A.Searle, Mechanics of Materials 12 (1991) 279–287.

    Google Scholar 

  3. A.C.F.Cocks, Mechanics of Materials 13 (1992) 165–174.

    Google Scholar 

  4. J.T.Porter, W.Blumenthal and A.G.Evans, Acta Metallurgica 29 (1981) 1899–1906.

    Google Scholar 

  5. C.H.Hseuh and A.G.Evans, Acta Metallurgica 29 (1981) 1907–1981.

    Google Scholar 

  6. M.D.Thouless, Mechanics of Creep Brittle Materials — 1, A.C.F.Cocks and A.R.S.Ponter (eds.), Elsevier, England (1989).

    Google Scholar 

  7. A.C.F. Cocks and J. Pan, International Journal of Fracture, accepted.

  8. P.G.Shewmon, Transformation in Metals, McGraw-Hill, New York (1969).

    Google Scholar 

  9. A.Needleman and J.R.Rice, Acta Metallurgica 28 (1980) 1315–1332.

    Google Scholar 

  10. J. Pan and A.C.F. Cocks, Internal Report of Engineering Department, Cambridge University, CUED/C-MATS/TR. 190 (1991).

  11. A.C.F.Cocks and A.A.Searle, Acta Metallurgica 38 (1990) 2493–2500.

    Google Scholar 

  12. A.C.F.Cocks and M.F.Ashby, Progress in Materials Science 27 (1982) 189–244.

    Google Scholar 

  13. R.W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials, Wiley (1983) 300.

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Pan, J., Cocks, A.C.F. The effect of grain-size on the stress and velocity fields ahead of a crack in a material which deforms by Coble creep. Int J Fract 60, 121–134 (1993). https://doi.org/10.1007/BF00012440

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  • DOI: https://doi.org/10.1007/BF00012440

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