Skip to main content
SpringerLink
Log in

A comparative study of dynamic, ductile fracture initiation in two specimen configurations

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

Abstract

In this work a single edge notched plate (SEN(T)) subjected to a tensile stress pulse is analysed, using a 2D plane strain dynamic finite element procedure. The interaction of the notch with a pre-nucleated hole ahead of it is examined. The background material is modelled by the Gurson constitutive law and ductile failure by microvoid coalescence in the ligament connecting the notch and the hole is simulated. Both rate independent and rate dependent material behaviour is considered. The notch tip region is subjected to a range of loading rates J by varying the peak value and the rise time of the applied stress pulse. The results obtained from these simulations are compared with a three point bend (TPB) specimen subjected to impact loading analysed in an earlier work [3]. The variation of J at fracture initiation, J c, with average loading rate J is obtained from the finite element simulations. It is found that the functional relationship between J c and J is fairly independent of the specimen geometry and is only dependent on material behaviour.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Priest, A.H. (1976). Influence of strain rate and temperature on the fracture and tensile properties of several metallic materials. In Proc. Intl. Conf. on Dynamic Fracture Toughness, 95–111 Welding Institute, Cambridge.

    Google Scholar 

  2. Cox, T.B. and Low, J.R. (1974). An investigation of the plastic fracture of AISI 4340 and 18Ni-200 grade maraging steels. Metall. Trans. 5, 1457–1470.

    Google Scholar 

  3. Basu, S. and Narasimhan, R. (1999) A finite element study of the effects of material characteristics and crack tip constraint on dynamic, ductile fracture initiation. J. Mech. Phys. Solids 47, 325–350.

    Google Scholar 

  4. Pan, J., Saje, M. and Needleman, A. (1983). Localisation of deformation in rate sensitive porous plastic solids. Int J. Fracture 21, 261–278.

    Google Scholar 

  5. Rice, J.R. and Johnson, M.A. (1970). The role of large geometry changes in plane strain fracture. In Inelastic Behaviour of Solids(Edited by Kanninen, M.F., Adler, A.R., Rosenfield, A.R. and Jaffe, R.I.), pp. 641–672. McGraw Hill, New York.

    Google Scholar 

  6. Aravas, N. and McMeeking, R.M. (1985). Finite element analysis of void growth near a blunting crack tip. J. Mech. Phys. Solids, 33, 25–49.

    Google Scholar 

  7. Ghosal, A.K. and Narasimhan, R. (1997) A finite element study of the effect of void initiation and growth on mixed-mode ductile fracture. Mech. Mater. 25, 113–127.

    Google Scholar 

  8. Costin, L. S., Duffy, J. and Freund, L. B. (1985). Fracture initiation in metals under stress wave loading conditions. In Fast Fracture and Crack Arrest, ASTM STP 627, pp. 310–318.

    Google Scholar 

  9. Homma, H., Shockey, D. A. and Murayama, Y. (1983). Response of cracks in structural materials to short pulse loads. J. Mech. Phys. Solids, 31, 261–279.

    Google Scholar 

  10. Owen, D., Zhuang, S., Rosakis, A. J. and Ravichandran, G. (1998) Experimental determination of dynamic crack initiation and propagation fracture toughness in thin aluminium sheets. Int. J. Fracture 90, 153–174.

    Google Scholar 

  11. Owen, D., Rosakis, A.J., and Johnson, W.L. (1998). Dynamic failure mechanisms in Berillium-bearing bulk metallic glasses. SM Report 98–22, GALCIT, California Institute of Technology, Pasadena, U.S.A.

    Google Scholar 

  12. Freund, L. B. (1990). Dynamic Fracture Mechanics. Cambridge University Press, Cambridge.

    Google Scholar 

  13. Guduru, P. R., Singh, R. P., Ravichandran, G. and Rosakis, A. J. (1997). Dynamic crack initiation in ductile steels. GALCIT Report, California Institute of Technology, Pasadena, U.S.A.

    Google Scholar 

  14. Venkert, A., Guduru, P. R. and Ravichandran, G. (1998). Mechanisms of dynamic failure in Ni-Cr steels. SM Report 98–5, GALCIT, California Institute of Technology, Pasadena, U.S.A.

    Google Scholar 

  15. Gurson, A.L. (1977). Continuum theory of ductile rupture by void nucleation and growth – Part I. J. Engng. Mat. Tech. 99, 2–15.

    Google Scholar 

  16. Basu, S. and Narasimhan, R. (1996). Finite element simulation of Mode I dynamic, ductile fracture initiation. Int. J. Solids Struct. 33, 1191–1207.

    Google Scholar 

  17. Brown, L.M. and Embury, J.D. (1973). Initiation and growth of voids at second phase particles. In Proc. Third Intl. Conf. on Strength of Metals and Alloys, pp. 164–179. Inst. of Metals, London.

    Google Scholar 

  18. Andersson, H. (1977). Analysis of a model for void growth and coalescence ahead of a moving crack tip. J. Mech. Phys. Solids 25, 217–233.

    Google Scholar 

  19. Tvergaard, V. (1982). Influence of void nucleation on ductile shear fracture at a free surface. J. Mech. Phys. Solids 30, 399–415.

    Google Scholar 

  20. Thomason, P.F. (1990). Ductile fracture of metals. Pergamon Press, Oxford.

    Google Scholar 

  21. Chu, C.C. and Needleman, A. (1980). Void nucleation effects in biaxially stretched sheets. J. Engng. Mat. Tech. 102, 249–256.

    Google Scholar 

  22. Needleman, A. (1988). Material rate dependence and mesh sensitivity in localization problems. Comput. Methods Appl. Mech. Engng. 67, 69–85.

    Google Scholar 

  23. Needleman, A. and Tvergaard, V. (1994). Mesh effects in the analysis of dynamic, ductile crack growth. Engng. Fracture Mech. 47, 75–91.

    Google Scholar 

  24. Narasimhan, R. and Rosakis, A. J. (1990). Three-dimensional effects near a crack tip in a ductile three-point bend specimen: Part I-A numerical investigation. Trans. ASME J. Appl. Mech. 57, 607–617.

    Google Scholar 

  25. Narasimhan, R., Rosakis, A. J. and Moran, B. (1992). A three-dimensional numerical investigation of fracture initiation by ductile failure mechanisms in a 4340 steel. Int. J. Fracture. 56, 1–24.

    Google Scholar 

  26. Narasimhan, R. (1994). A numerical study of static and dynamic fracture initiation in a ductile material containing a dual population of second phase particles. Engng. Fracture Mech. 47, 919–948.

    Google Scholar 

  27. Belytshko, T. (1983). In Computational Methods for Transient Analysis(edited by Belytshko, T. and Hughes, T. J. R), Elsevier, Amsterdam, p. 1.

    Google Scholar 

  28. Nakamura, T., Shih, C. F. and Freund, L. B. (1986) Analysis of a dynamically loaded three-point bend ductile fracture specimen. Engng. Fracture Mech. 25, 333–339.

    Google Scholar 

  29. Al-Ani, A. M. and Hancock, J. W. (1991). J-dominance of short cracks in tension and bending. J. Mech. Phys. Solids 29, 23–43.

    Google Scholar 

  30. O'Dowd, N. P. and Shih, C. F. (1991). Family of crack-tip fields characterized by a triaxiality parameter – I. Structure of fields. J. Mech. Phys. Solids 39, 989–1015.

    Google Scholar 

  31. O'Dowd, N. P. and Shih, C. F. (1992). Family of crack-tip fields characterized by a triaxiality parameter – II. Fracture applications. J. Mech. Phys. Solids 40, 939–963.

    Google Scholar 

  32. Basu, S. and Narasimhan, R. (1999). A numerical investigation of loss of crack tip constraint in a dynamically loaded ductile specimen. To appear in J. Mech. Phys. Solids.

  33. Kanninen, M. F. and Popelar, C. H. (1985). Advanced fracture mechanics, Oxford University Press, pp. 550–551.

  34. Shih, C.F. (1981). Relationship between J-integral and the crack opening displacement for stationary and extending cracks. J. Mech. Phys. Solids 29, 305–326.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, India

    Sumit Basu & R. Narasimhan

Authors
  1. Sumit Basu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Narasimhan
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Basu, S., Narasimhan, R. A comparative study of dynamic, ductile fracture initiation in two specimen configurations. International Journal of Fracture 102, 393–410 (2000). https://doi.org/10.1023/A:1007606417435

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007606417435

Search

Navigation