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A finite element analysis of dynamic fracture initiation by ductile failure mechanisms in a 4340 steel

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Abstract

In some recent dropweight impact experiments [5] with pre-notched bend specimens of 4340 steel, it was observed that considerable crack tunneling occurred in the interior of the specimen prior to gross fracture initiation on the free surfaces. The final failure of the side ligaments happened because of shear lip formation. The tunneled region is characterized by a flat, fibrous fracture surface. In this paper, the experiments of [5] (corresponding to 5 m/s impact speed) are analyzed using a plane strain, dynamic finite element procedure. The Gurson constitutive model that accounts for the ductile failure mechanisms of micro-void nucleation, growth and coalescence is employed. The time at which incipient failure was observed near the notch tip in this computation, and the value of the dynamic J-integral, J d, at this time, compare reasonably well with experiments. This investigation shows that J-controlled stress and deformation fields are established near the notch tip whenever J d , increases with time. Also, it is found that the evolution of micro-mechanical quantities near the notch root can be correlated with the time variation of J d .The strain rate and the adiabatic temperature rise experienced at the notch root are examined. Finally, spatial variations of stresses and deformations are analyzed in detail.

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References

  1. D.A. Shockey (ed.), in Metals Handbook, American Society of Metals, 9th edn., Vol. 8 (1983) 259–297.

  2. A.H. Priest, in Proceedings of International Conference on Dynamic Fracture Toughness, Welding Institute, Cambridge, Paper 10 (1976) 95–111.

  3. L.S. Costin and J. Duffy, Transactions ASME Series H Journal of Engineering Materials and Technology 101 (1979) 258–263.

    Google Scholar 

  4. J.R. Rice and N. Levy, in Physics of Strength and Plasticity, A. Argon (ed.), MIT Press (1969).

  5. A.T. Zehnder, A.J. Rosakis and S. Krishnaswamy, International Journal of Fracture 42 (1990) 209–230.

    Google Scholar 

  6. A.T. Zehnder and A.J. Rosakis, Journal of Applied Mechanics 57 (1990) 618–626.

    Google Scholar 

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

    Google Scholar 

  8. J. Pan, M. Saje and A. Needleman, International Journal of Fracture 21 (1983) 261–278.

    Google Scholar 

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

    Google Scholar 

  10. R. Narasimhan, A.J. Rosakis and B. Moran, International Journal of Fracture, to be published.

  11. T. Nakamura, C.F. Shih and L.B. Freund, International Journal of Fracture 27 (1985) 229–243.

    Google Scholar 

  12. V. Tvergaard, in Advances in Applied Mechanics 27 (1990) 83–151.

  13. S. Aoki, K. Kishimoto, A. Takeya and M. Sakata, International Journal of Fracture 24 (1984) 267–278.

    Google Scholar 

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

    Google Scholar 

  15. R. Becker, A. Needleman, S. Suresh, V. Tvergaard and A.K. Vasudevan, Acta Metallurgica 37 (1989) 99–120.

    Google Scholar 

  16. D.M. Norris, Engineering Fracture Mechanics 11 (1979) 261–274.

    Google Scholar 

  17. V. Tvergaard and A. Needleman, International Journal of Fracture 37 (1988) 197–215.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  20. L.M. Brown and J.D. Embury, in Microstructure and Design of Alloys, Proceedings of the Third International Conference on the Strength of Metals and Alloys, Cambridge, England (1973) 164–179.

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

    Google Scholar 

  22. S. Tanimura and J. Duffy, International Journal of Plasticity 2 (1986) 21–35.

    Google Scholar 

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

    Google Scholar 

  24. K.J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, New Jersey (1982).

    Google Scholar 

  25. T.J.R. Hughes, in Computational Methods for Transient Analysis, T. Belytshko and T.J.R. Hughes (eds.), Elsevier, Amsterdam (1983) 67–155.

    Google Scholar 

  26. T. Belytshko, in Computational Methods for Transient Analysis, Elsevier, Amsterdam (1983) 1–65.

    Google Scholar 

  27. D. Pierce, C.F. Shih and A. Needleman, Computers and Structures 18 (1984) 875–887.

    Google Scholar 

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

    Google Scholar 

  29. T. Nakamura, C.F. Shih and L.B. Freund, Engineering Fracture Mechanics 25 (1986) 323–339.

    Google Scholar 

  30. W. Böhme and J.F. Kalthoff, International Journal of Fracture 20 (1982) R139-R143.

    Google Scholar 

  31. J.W. Hutchinson, Journal of Mechanics and Physics of Solids 16 (1968) 337–347.

    Google Scholar 

  32. J.R. Rice and G.F. Rosengren, Journal of Mechanics and Physics of Solids 16 (1968) 1–12.

    Google Scholar 

  33. C.F. Shih, Tables of HRR Singular Field Quantities, Brown University Report (1983).

  34. C.F. Shih, Journal of Mechanics and Physics of Solids 29 (1981) 305–326.

    Google Scholar 

  35. J.R. Rice and D.M. Tracey, in Numerical Methods in Structural Mechanics, S.J. Fenves (eds.), Academic Press, New York (1973) 585–623.

    Google Scholar 

  36. Aerospace Structural Metals Handbook, Metals and Ceramics Information Center, Battelle Columbus Laboratories, Columbus, Ohio (1989).

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Jha, M., Narasimhan, R. A finite element analysis of dynamic fracture initiation by ductile failure mechanisms in a 4340 steel. Int J Fract 56, 209–231 (1992). https://doi.org/10.1007/BF00012328

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  • DOI: https://doi.org/10.1007/BF00012328

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