Advertisement

Numerical Prediction of Ductile Fracture in Bi-Axially Stretched Sheet Metal

  • A. AbdelkaderEmail author
  • Ch. A. R. Saleh
Conference paper
  • 48 Downloads
Part of the The Minerals, Metals & Materials Series book series (MMMS)

Abstract

Ductile fracture is characterized by nucleation and growth of voids with deformation and ends with void coalescence leading to fracture. The Gurson-Tevergaard model is a widely accepted model for describing the ductile flow of voided metals. This model does not consider the interaction between voids. Many coalescence models are being introduced to define the onset of fracture and they are based on different hypotheses considering the carrying capacity of ligaments between voids. Literature includes many void Coalescence models; namely Thomason, Pardoen and Hutchinson (P&H), Benzerga, Ragab, and McClintock. In this work, FEA is used to model materials obeying Gurson function on biaxial stretching of sheet metal. The coalescence criterions are introduced to the FEA solver, Abaqus via a user subroutine. The onset of coalescence is determined and compared to experimental results. It is found that Ragab criterion gives fracture strains close to the experimental results.

Keywords

Void coalescence Finite element Ductile fracture 

References

  1. 1.
    Li H, Fu MW, Lu J, Yang H (2011) Ductile fracture: experiments and computations. Int J Plast 27:147–180CrossRefGoogle Scholar
  2. 2.
    McClintock FA, Kaplan SM, Berg CA (1966) Ductile fracture by hole growth in shear bands. Int J Fract Mech 2(4):614–627CrossRefGoogle Scholar
  3. 3.
    McClintock FA (1968) A criterion for ductile fracture by the growth of holes. J Appl Mech 35(2):363Google Scholar
  4. 4.
    Rice JR, Tracey DM (1969) On the ductile enlargement of voide in triaxial stress fields. J Mech Phys Solids 17(3):201–217CrossRefGoogle Scholar
  5. 5.
    Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part I—yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99(76):2–15CrossRefGoogle Scholar
  6. 6.
    Thomason PF (1985) A three-dimensional model for ductile fracture by the growth and coalescence of microvoids. Acta Metall 33(6):1087–1095CrossRefGoogle Scholar
  7. 7.
    Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17(4):389–407CrossRefGoogle Scholar
  8. 8.
    Weck AG (2007) The role of coalescence on ductile fracture. PH.D. thesis, McMaster UniversityGoogle Scholar
  9. 9.
    Park and Thompson (1988) Ductile fracture in spheroidized 1520 steel. Acta Metall 36(7):1653–1664CrossRefGoogle Scholar
  10. 10.
    Thompson AW (1987) Modeling of local strains in ductile fracture. Metall Trans A 18(11):1877–1886CrossRefGoogle Scholar
  11. 11.
    Knott J (1980) Micromechanisms of fibrous crack extension in engineering alloys. Met Sci (September):327–336Google Scholar
  12. 12.
    Cox TB, Low JR (1974) An investigation of the plastic fracture of AISI 4340 and 18 Nickel-200 grade maraging steels. Metall Trans 5(6):1457–1470CrossRefGoogle Scholar
  13. 13.
    Pardoen T, Hutchinson JW (2000) Extended model for void growth and coalescence. J Mech Phys Solids 48(12):2467–2512CrossRefGoogle Scholar
  14. 14.
    Benzerga A (2002) Micromechanics of coalescence in ductile fracture. J Mech Phys Solids 50(6):1331–1362CrossRefGoogle Scholar
  15. 15.
    Ragab ARR (2004) A model for ductile fracture based on internal necking of spheroidal voids. Acta Mater 52(13):3997–4009CrossRefGoogle Scholar
  16. 16.
    Abdelkader A, Saleh CAR Coupling void coalescence criteria in finite element models: application to tensile test. In: TMS 2018 147th annual meeting & exhibition supplemental proceedings, 2018, pp 369–376Google Scholar
  17. 17.
    Avramovic-Cingara G, Saleh CAR, Jain MK, Wilkinson DS (2009) Void nucleation and growth in dual-phase steel 600 during uniaxial tensile testing. Metall Mater Trans A Phys Metall Mater Sci 40(13):3117–3127Google Scholar

Copyright information

© The Minerals, Metals & Materials Society 2020

Authors and Affiliations

  1. 1.Pressure Vessels DepartmentEngineering for the Petroleum and Process Industries, EnppiNasr City, CairoEgypt
  2. 2.Department of Mechanical Design and Production, Faculty of EngineeringCairo UniversityGiza, CairoEgypt

Personalised recommendations