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On the equivalence between sets of parameters of the yield criterion and the isotropic and kinematic hardening laws

  • Thematic Issue: Advanced Modeling and Innovative Processes
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Abstract

The identification of the material parameters of a given constitutive model can follow diverse methodologies and use distinct sets of experimental data. In order to easily compare different sets of material parameters, it is necessary to know how to establish the equivalence between identification results. This work explores the correlation between sets of parameters of constitutive models concerning the yield criterion and the isotropic and kinematic hardening laws. It is shown that distinct sets of parameters for a given constitutive model (yield criterion and isotropic and kinematic hardening laws) can describe the same material behavior, and a rule for matching the sets is established.

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References

  1. Aretz H, Barlat F (2013) New convex yield functions for orthotropic metal plasticity. Int J Non-Linear Mech 51:97–111

    Article  Google Scholar 

  2. Bron F, Besson J (2004) A yield function for anisotropic materials. Application to aluminium alloys. Int J Plast 20:937–963

    Article  MATH  Google Scholar 

  3. Cazacu O, Barlat F (2004) A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int J Plast 20:2027–2045

    Article  MATH  Google Scholar 

  4. Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171–1194

    Article  MATH  Google Scholar 

  5. Chaboche JL (2008) A review of some plasticity and viscoplasticity constitutive theories. Int J Plast 24:1642–1693

    Article  MATH  Google Scholar 

  6. Fernandes JV, Rodrigues DM, Menezes LF, Vieira MF (1998) A modified Swift law for prestrained materials. Int J Plast 14:537–550

    Article  MATH  Google Scholar 

  7. Geng LM, Shen Y, Wagoner RH (2002) Role of plastic anisotropy and its evolution on springback. Int J Mech Sci 44:123–148

    Article  MATH  Google Scholar 

  8. Plunkett B, Cazacu O, Barlat F (2008) Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals. Int J Plast 24:847–866

    Article  MATH  Google Scholar 

  9. Teodosiu C, Hu Z (1995) Evolution of the intragranular microstructure at moderate and large strains: Modelling and computational significance. In Proc of the 5th International Conference on Numerical Methods in Industrial Forming Processes (NUMIFORM ’95), Eds. Shan-Fu Shen, P. R. Dawson, pp 173–182

  10. Teodosiu C, Hu Z (1998) Microstructure in the continuum modelling of plastic anisotropy. In Proc of the 19th Riso International Symposium on Materials Science: Modelling of Structures and Mechanics from Microscale to Products, Riso National Laboratory, pp 149–168

  11. Yoshida F, Uemori T (2002) A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation. Int J Plast 18:661–686

    Article  MATH  Google Scholar 

  12. Yoshida F, Hamasaki H, Uemori T (2013) A user-friendly 3D yield function to describe anisotropy of steel sheets. Int J Plast 45:119–139

    Article  Google Scholar 

  13. Aguir H, Alves JL, Oliveira MC, Menezes LF, BelHadjSalah H (2012) Cazacu and Barlat Criterion Identification Using the Cylindrical Cup Deep Drawing Test and the Coupled Artificial Neural Networks – Genetic Algorithm Method. Key Eng Mater 504–506:637–642

    Article  Google Scholar 

  14. Chaparro BM, Thuillier S, Menezes LF, Manach PY, Fernandes JV (2008) Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms. Comput Mater Sci 44:339–346

    Article  Google Scholar 

  15. Oliveira MC, Alves JL, Chaparro BM, Menezes LF (2007) Study on the influence of work-hardening modeling in springback prediction. Int J Plast 23:516–543

    Article  MATH  Google Scholar 

  16. Prates PA, Oliveira MC, Fernandes JV (2014) A new strategy for the simultaneous identification of constitutive laws parameters of metal sheets using a single test. Comp Mater Sci 85:102–120

  17. Rossi M, Pierron F (2012) Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields. Comput Mech 49:53–71

    Article  MATH  Google Scholar 

  18. Güner A, Soyarslan C, Brosius A, Tekkaya AE (2012) Characterization of anisotropy of sheet metals employing inhomogeneous strain fields for Yld 2000–2D yield function. Int J Solids Struct 49:3517–3527

    Article  Google Scholar 

  19. Hill R (1948) A theory of yielding and plastic flow of anisotropic metals. Proc R Soc Lond 193:281–297

    Article  MATH  Google Scholar 

  20. Cazacu O, Barlat F (2001) Generalization of Drucker’s yield criterion to orthotropy. Math Mech Solids 6:613–630

    Article  MATH  Google Scholar 

  21. Bouvier S, Teodosiu C, Maier C, Banu M, Tabacaru V (2001) Selection and identification of elastoplastic models for the materials used in the benchmarks. WP3, Task 1, 18-Months progress report of the Digital Die Design Systems (3DS), IMS 1999 000051

  22. Yamashita T (1996) Analysis of anisotropic material. Ohio University, Dissertation

    Google Scholar 

  23. Prates PA, Oliveira MC, Sakharova NA, Fernandes JV (2013) How to combine the parameters of the yield criteria and the hardening law. Key Eng Mater 554–557:1195–1202

    Article  Google Scholar 

  24. Rabahallah M, Balan T, Bouvier S, Bacroix B, Barlat F, Chung K, Teodosiu C (2009) Parameter identification of advanced plastic strain rate potentials and impact on plastic anisotropy prediction. Int J Plast 25:491–512

    Article  MATH  Google Scholar 

  25. Drucker DC (1949) Relation of experiments to mathematical theories of plasticity. J Appl Mech Tran ASME 16:349–357

  26. Swift HW (1952) Plastic instability under plane stress. J Mech Phys Solids 1:1–18

    Article  Google Scholar 

  27. Voce E (1948) The relationship between stress and strain for homogeneous deformation. J Inst Met 74:537–562

    Google Scholar 

  28. Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plast 5:247–302

    Article  MATH  Google Scholar 

  29. Oliveira MC, Alves JL, Menezes LF (2008) Algorithms and strategies for treatment of large deformation frictional contact in the numerical simulation of deep drawing process. Arch Comput Method Eng 15:113–162

    Article  MATH  MathSciNet  Google Scholar 

  30. Resende TC, Balan T, AbedMeraim F, Bouvier S, Sablin SS (2010) Application of a dislocation based model for Interstitial Free (IF) steels to typical stamping simulations. In Proc. of the 10th International Conference on Numerical Methods in Industrial Forming Processes Dedicated to Professor O. C. Zienkiewicz (1921–2009), 1252:1339–1346

  31. Coër J, Manach PY, Laurent H, Oliveira MC, Menezes LF (2013) Piobert–Lüders plateau and Portevin–Le Chatelier effect in an Al–Mg alloy in simple shear. Mech Res Commun 48:1–7

    Article  Google Scholar 

  32. Alves JL (2003) Simulação numérica do processo de estampagem de chapas metálicas - modelação mecânica e métodos numéricos. University of Minho, Dissertation

    Google Scholar 

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Acknowledgements

This research work is sponsored by national funds from the Portuguese Foundation for Science and Technology (FCT) via the projects PTDC/EME–TME/113410/2009 and PEst-C/EME/UI0285/2013 and by FEDER funds through the program COMPETE – Programa Operacional Factores de Competitividade, under the project CENTRO–07–0224 -FEDER -002001 (MT4MOBI). One of the authors, P.A. Prates, was supported by a grant for scientific research from the Portuguese Foundation for Science and Technology. All supports are gratefully acknowledged.

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Authors and Affiliations

  1. CEMUC, Department of Mechanical Engineering, University of Coimbra, Pinhal de Marrocos, 3030-788, Coimbra, Portugal

    P. A. Prates, M. C. Oliveira & J. V. Fernandes

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  1. P. A. Prates
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  2. M. C. Oliveira
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  3. J. V. Fernandes
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Correspondence to P. A. Prates.

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Prates, P.A., Oliveira, M.C. & Fernandes, J.V. On the equivalence between sets of parameters of the yield criterion and the isotropic and kinematic hardening laws. Int J Mater Form 8, 505–515 (2015). https://doi.org/10.1007/s12289-014-1173-z

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  • DOI: https://doi.org/10.1007/s12289-014-1173-z

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