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Study of the formability of steels

  • Material behaviour and formability: F. Barlat, D. Banabic, O.Cazacu, T. Kuwabara, L. Delannay
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Abstract

In the present contribution, a new advanced Gurson model [1] is developed. This new model is an extension of the initial one, to the plastic anisotropy and the mixed (isotropic+ kinematic) hardening of the fully dense matrix. The nucleation and the growth phases are considered by integrating the empirical laws developed by Bouaziz et al. [2] in this new model. These laws, identified on the basis of X-ray microtomography results, display the triaxiality effect on the nucleation and the growth of cavities. This advanced Gurson model is implemented into a finite element code by using an implicit-explicit integration scheme. FE simulations study the behavior of a sample submitted to tensile test and assess the influence of nucleation and growth laws on the formability of this sample.

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References

  1. 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 99:2–15

    Google Scholar 

  2. Bouaziz O, Maire E, Giton M, Lamarre J, Salingue Y, Dimichiele M (2008) A model for initiation and growth of damage in dual-phase steels identified by X-ray micro-tomography. La revue de métallurgie 2:102–107

    Article  Google Scholar 

  3. Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17(4):389–407

    Article  Google Scholar 

  4. Aravas N (1987) On the numerical integration of a class of pressure-dependent plasticity models. International Journal of Numerical Methods and Engineering 24:1395–1416

    Article  MATH  Google Scholar 

  5. Benzerga AA, Besson J (2001) Plastic potentials for anisotropic porous solids. Eur J Mech A, Solids 20(3):397–434

    Article  MATH  Google Scholar 

  6. Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial stress fields. J Mech Solids 17:201–217

    Article  Google Scholar 

  7. Helbert AL, Feaugas X, Clavel M (1998) Effects of microstructural parameters and back stress on damage mechanisms in α/β titanium alloys. Acta Metall 46:939–951

    Google Scholar 

  8. Ben Bettaieb M., Lemoine X., Duchêne L., Habraken A-M: On the numerical integration of an advanced Gurson model, submitted to publication in International Journal For Numerical Methods in Engineering

  9. Flores P.: Development of Experimental Equipment and Identification Procedures for Sheet Metal Constitutive Laws, Ph. D. Thesis, University of Liège, Belgium

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Authors and Affiliations

  1. Department ArGEnCo, Division MS2F, University of Liège, Chemin des Chevreuils 1, 4000, Liège, Belgium

    Mohamed Ben Bettaieb, Laurent Duchêne & Anne Marie Habraken

  2. Arcelor-Mittal Research S.A., Voie Romaine, BP30320, 57283, Maizières-lès-Metz Cedex, France

    Xavier Lemoine

  3. FNRS Fond National de la Recherche Scientifique, Rue d’Egmont 5, 1000, Bruxelles, Belgium

    Laurent Duchêne & Anne Marie Habraken

Authors
  1. Mohamed Ben Bettaieb
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  2. Xavier Lemoine
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  3. Laurent Duchêne
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  4. Anne Marie Habraken
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Correspondence to Mohamed Ben Bettaieb.

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Ben Bettaieb, M., Lemoine, X., Duchêne, L. et al. Study of the formability of steels. Int J Mater Form 2 (Suppl 1), 515 (2009). https://doi.org/10.1007/s12289-009-0557-y

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  • DOI: https://doi.org/10.1007/s12289-009-0557-y

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