Skip to main content
Log in

Numerical simulations of hole growth and ductile fracture initiation under mixed-mode loading

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Numerical simulations of ductile fracture initiation caused by the interaction between a notch tip and a nearby hole under mixed-mode loading involving modes I and II are performed. Attention is restricted to plane strain, small-scale yielding conditions. The Gurson constitutive model that accounts for the ductile failure mechanisms of micro-void nucleation, growth and coalescence is employed within the framework of a finite deformation plasticity theory. The failure of the ligament connecting the notch tip and the hole by either microvoid coalescence or by intense plastic strain localization is modelled. The effect of mode-mixity on the notch tip deformation, hole growth and the critical value of J at fracture initiation is examined. The dominant failure mechanism which is operative near the notch tip for various extents of mixity of modes I and II is identified.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T.B.Cox and J.R.Low, Metallurgical Transactions 5 (1974) 1457–1470

    Google Scholar 

  2. G.T.Hahn and A.R.Rosenfield, Metallurgical Transactions 6A (1975) 653–668

    Google Scholar 

  3. A.Otsuka, K.Tohgo and Y.Okamoto, Nuclear Engineering and Design 105 (1987) 121–129

    Google Scholar 

  4. K.Tohgo, A.Otsuka and H.W.Gao, Proceedings of Far East Fracture Group Workshop, M.Sakata (ed.), Tokyo Institute of Technology, Japan (1988) 101–108

    Google Scholar 

  5. S.Aoki, K.Kishimoto, T.Yoshida, M.Sakata and H.A.Richard, Journal of Mechanics and Physics of Solids 38 (1990) 195–213

    Google Scholar 

  6. T.M.Maccagno and J.F.Knott, Engineering Fracture Mechanics, 41 (1992) 805–820

    Google Scholar 

  7. C.F. Shih, Fracture Analysis, ASTM STP 560 (1974) 187–210

  8. A.L.Gurson, Transactions ASME Series H Journal of Engineering Materials and Technology 99 (1977) 2–15

    Google Scholar 

  9. N.Aravas and R.M.McMeeking, International Journal of Fracture 29 (1985) 21–38

    Google Scholar 

  10. A.Needleman and V.Tvergaard, Journal of Mechanics and Physics of Solids 35 (1987) 151–183

    Google Scholar 

  11. S. Roy Chowdhury and R. Narasimhan, Material Science and Engineering A (1995), to appear

  12. S.Aoki, K.Kishimoto, T.Yoshida, and M.Sakata, Journal of Mechanics and Physics of Solids 35 (1987) 431–455

    Google Scholar 

  13. K. Kishimoto, T. Yoshida, S. Aoki, and M. Sakata, Proceedings of 2nd International Conference on Computational Plasticity, Models, Software and Applications, D.R.J. Owen, E. Hinton and E. Oñate (eds.), Pineridge Press (1988) 1183–1194

  14. J.R.Rice, Journal of Applied Mechanics 35 (1968a) 379–386

    Google Scholar 

  15. A.K.Ghosal and R.Narasimhan, Journal of Mechanics and Physics of Solids 42 (1994) 953–978

    Google Scholar 

  16. S.H.Goods and L.M.Brown, Acta Metallurgica 27 (1979) 1–15

    Google Scholar 

  17. V.Tvergaard and A.Needleman, Acta Metallurgica 32 (1984) 157–169

    Google Scholar 

  18. V.Tvergaard, International Journal of Fracture 17 (1981) 389–407

    Google Scholar 

  19. L.M. Brown and J.D. Embury, Microstructure and Design of Alloys, Cambridge, England (1973) 164–169

  20. H.Andersson, Journal of Mechanics and Physics of Solids 25 (1977) 217–233

    Google Scholar 

  21. C.C.Chu and A.Needleman, Transactions ASME Series H Journal of Engineering Materials and Technology 102 (1980) 249–256

    Google Scholar 

  22. V.Tvergaard, Journal of Mechanics and Physics of Solids 30 (1982) 399–425

    Google Scholar 

  23. J.R.Rice, Fracture: An Advanced Treatise, 2, H.Liebowitz (ed.), Academic Press, New York (1968) 191–311

    Google Scholar 

  24. R.M.McMeeking and J.R.Rice, International Journal of Solids and Structures 11 (1975) 601–616

    Google Scholar 

  25. M. Symington, C.F. Shih and M. Ortiz, Tables of Plane Strain Mixed-mode Plastic Crack Tip Fields, Brown University Report, Providence, RI 02919 (1988)

  26. B. Budiansky, J.W. Hutchinson and S. Slutsky, Mechanics of Solids, H.G. Hopkins and M.J. Sewell (eds.), Pergamon Press (1982) 13–45

  27. A.K. Ghosal and R. Narasimhan, Materials Science and Engineering A (1996), to appear

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghosal, A.K., Narasimhan, R. Numerical simulations of hole growth and ductile fracture initiation under mixed-mode loading. Int J Fract 77, 281–304 (1996). https://doi.org/10.1007/BF00036248

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00036248

Keywords

Navigation