Skip to main content
Log in

The effects of rate sensitivity and plastic potential surface curvature on plastic flow localization in porous solids

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

Abstract

Plastic flow localization in porous elastic-viscoplastic solids is analyzed with an emphasis on the effects of material rate sensitivity and plastic potential surface curvature. The effect of rate sensitivity is included in a material model that accounts for a change of yield surface curvature in a rate-insensitive porous ductile solid. Shear band formation under plane strain and axisymmetric tension, and localized necking in biaxially stretched sheets are analyzed by using the present material model. The results illustrate the interactions of the effects of void nucleation and growth, material rate sensitivity and plastic potential surface curvature on plastic flow localization. The effects of nonproportional straining paths on localized necking in thin sheets are also demonstrated.

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. R.Hill, Journal of Mechanics and Physics of Solids 1 (1952) 19–30.

    Article  Google Scholar 

  2. M.Azrin and W.A.Backofen, Metallurgical Transactions 1 (1970) 2857–2865.

    Google Scholar 

  3. A.K.Ghosh and S.S.Hecker, Metallurgical Transactions 5 (1974) 2161–2164.

    Google Scholar 

  4. C.A.Berg, Inelastic Behavior of Solids, M.F.Kanninen. (eds.), McGraw-Hill, New York (1970) 171–209.

    Google Scholar 

  5. A.L. Gurson, Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth and Interaction, Ph.D. thesis, Brown University, Providence, Rhode Island (1975).

  6. A.L.Gurson, Journal of Engineering Materials and Technology 99 (1977) 2–15.

    Google Scholar 

  7. M.E.Mear and J.W.Hutchinson, Mechanics of Materials 4 (1985) 395–407.

    Article  Google Scholar 

  8. V.Tvergaard, Journal of Mechanics and Physics of Solids 35 (1987) 43–60.

    Article  Google Scholar 

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

    Google Scholar 

  10. A. Needleman and V. Tvergaard, Mechanical Behaviour of Materials—IV, J. Carlsson and N.G. Ohlson, (eds.), Pergamon Press (1984) 51–65.

  11. R.Becker and A.Needleman, Journal of Applied Mechanics 53 (1986) 491–499.

    Google Scholar 

  12. P.W. Bridgman, Studies in Large Plastic Flow and Fracture, McGraw-Hill (1952).

  13. M.Saje, J.Pan and A.Needleman, International Journal of Fracture 19 (1982) 163–182.

    Google Scholar 

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

    Google Scholar 

  15. V.Tvergaard, International Journal of Fracture 18 (1982) 237–252.

    Google Scholar 

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

    Article  Google Scholar 

  17. L.M. Brown and J.D. Embury, Proceedings 3rd International Conference on Strength of Metals and Alloys, Institute of Metals, London (1973) 164–169.

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. J.Gurland, Acta Metallurgica 20 (1972) 735–741.

    Article  Google Scholar 

  21. A.S.Argon and J.Im, Metallurgical Transactions 6A (1975) 839–851.

    Google Scholar 

  22. H.Ziegler, Quarterly of Applied Mathematics 17 (1959) 55–65.

    Google Scholar 

  23. V.Tvergaard, International Journal of Mechanical Sciences 20 (1978) 651–658.

    Article  Google Scholar 

  24. D.Peirce, C.F.Shih and A.Needleman, Computers & Structures 18 (1984) 875–887.

    Google Scholar 

  25. H.Yamamoto, International Journal of Fracture 11 (1978) 347–365.

    Article  Google Scholar 

  26. R.Hill, Journal of Mechanics and Physics of Solids 10 (1962) 1–16.

    Article  Google Scholar 

  27. J.R. Rice, Proceedings 14th International Conference on Theoretical and Applied Mechanics, Delft, North-Holland, W.T. Koiter (ed.), 1 (1976) 207–220.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jeong, HY., Pan, J. The effects of rate sensitivity and plastic potential surface curvature on plastic flow localization in porous solids. Int J Fract 56, 317–332 (1992). https://doi.org/10.1007/BF00015862

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00015862

Keywords

Navigation