Skip to main content
Log in

Fracture prediction in stretch forming using finite element simulation combined with ductile fracture criterion

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Summary

A criterion for ductile fracture is introduced in the finite element simulation of sheet metal forming. From the calculated histories of stress and strain in each element, the fracture initiation site and the critical stroke are predicted by means of the ductile fracture criterion. The calculations are carried out for axisymmetric stretch forming of various aluminium alloy sheets and their laminates clad by mild steel sheets. The predictions so obtained are compared with experimental observations. The results show that the combination of the finite element simulation and the ductile fracture criterion enables the prediction of forming limit in a wide range of sheet metals.

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. Swift, H. W.: Plastic instability under plane stress. J. Mech. Phys. Solids 1 (1952) 1–18

    Article  Google Scholar 

  2. Marciniak, Z.; Kuczynski, K.: Limit strains in the processes of stretch-forming sheet metal. Int. J. Mech. Sci. 9 (1967) 609–620

    Article  Google Scholar 

  3. Stören, S.; Rice, J. R.: Localized necking in thin sheets. J. Mech. Phys. Solids 23 (1975) 421–441

    Article  MATH  Google Scholar 

  4. Clift, S. E.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W.: Fracture prediction in plastic deformation processes. Int. J. Mech. Sci. 32 (1990) 1–17

    Article  Google Scholar 

  5. Oyane, M.; Sato, T.; Okimoto, K.; Shima, S.: Criteria for ductile fracture and their applications. J. Mech. Work. Technol. 4 (1980) 65–81

    Article  Google Scholar 

  6. Ayada, M; Higashino, T.; Mori, K.: Central bursting in extrusion of inhomogeneous materials. In: Lange, K. (ed.) Advanced Technology of Plasticity, pp. 553–558. Berlin: Springer 1987

    Google Scholar 

  7. Toda, M.; Miki, T.; Yanagimoto, S.; Osakada, K.: Study of computer aided system for analyzing mechanical behavior of steel bar and wire under cold forging. J. Japan Soc. Tech. Plasticity 29 (1988) 971–976

    Google Scholar 

  8. Hill, R.: Mathematical theory of plasticity, pp. 318–321. Oxford: Oxford University Press 1950

    MATH  Google Scholar 

  9. Osakada, K.; Nakano, J.; Mori, K.: Finite element method for rigid-plastic analysis of metal forming — Formulation for finite deformation. Int. J. Mech. Sci. 24 (1982) 459–468

    Article  MATH  Google Scholar 

  10. Hiraiwa, M.; Kondo, K.: Investigation into deep drawing of clad sheet metals. Bull. JSME 20 (1977) 483–488

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors would like to thank the staff at the steel research laboratories of Nippon Steel Corporation for providing the laminated composite sheets.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takuda, H., Mori, K., Fujimoto, H. et al. Fracture prediction in stretch forming using finite element simulation combined with ductile fracture criterion. Arch. Appl. Mech. 67, 143–150 (1997). https://doi.org/10.1007/s004190050106

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s004190050106

Key words

Navigation