journal article·2021-07

An application of fully coupled ductile damage model considering induced anisotropies on springback prediction of advanced high strength steel materials

M. Yetna N’jock, H. Badreddine, C. Labergere, Z. Yue, K. Saanouni, V.-T. Dang

Publisher page

Abstract

In this paper, an advanced model formulated in the framework of non-associative plasticity is used to accurately predict the springback of advanced high strength steels material. The proposed model strongly couples the isotropic ductile damage to the phenomena a combined nonlinear isotropic and kinematic hardening, initial anisotropic plastic flow and induced anisotropies due to the distortion of the yield function and the plastic potential respectively. For the application, the simulations were conducted for U-draw bending of as-received DP 780 steel sheet proposed by Numisheet’2011 Benchmark. The proposed model was able to capture adequately the Bauschinger effect, transient hardening (distortional) and ductile damage-induced softening. The results have shown that the distortion of yield function affect significantly the stress distribution especially in the sidewall curl during the forming stage thereby explaining observed variations in springback. For full coupling with isotropic ductile damage, the predicted angular springback was found in good agreement with experimental measurements and the sidewall curl was significantly improved in comparison to the simple use of hardening models. This means that isotropic ductile damage and its effect on the other physical phenomena require special attention in order to take benefit when designing newly developed advanced high strength steels (AHSS) parts for automotive and aerospace industries.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and Mechanical Properties of Steels

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Yoshida F, Uemori T (2003) A model of large-strain cyclic plasticity and its application to springback simulation. Int J Mech Sci 45(10):1687–170210.1016/j.ijmecsci.2003.10.013 ↗
2. Carden WD, Geng LM, Matlock DK, Wagoner RH (2002) Measurement of springback. Int J Mech Sci 44(1):79–10110.1016/S0020-7403(01)00082-0 ↗
3. Lee JW, Lee MG, Barlat F (2012) Finite element modeling using homogeneous anisotropic hardening and application to spring-back prediction. Int J Plast 295(a):13–41
4. Lee MG, Kim D, Kim C, Wenner ML, Wagoner R, Chung K (2007) A practical two-surface plasticity model and its application to spring-back prediction. Int J Plast 23(7):1189–121210.1016/j.ijplas.2006.10.011 ↗
5. Lee MG, Kim D, Kim C, Wenner ML, Chung K (2005) Spring-back evaluation of automotive sheets based on isotropic–kinematic hardening laws and non-quadratic anisotropic yield functions, part III: applications. Int J Plast 21(5):915–95310.1016/j.ijplas.2004.05.014 ↗
6. Chung K, Lee MG, Kim D, Kim C, Wenner ML, Barla F (2005) Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions: part I: theory and formulation. Int J Plast 21:861–882
7. Haddag B (2007) Contribution à la modélisation de la mise en forme des tôles métalliques : application au retour élastique et à la localisation. Thèse de Doctorat, Arts et Métiers ParisTech, Metz
8. Dang V-T, Labergère C, Lafon P (2018) Adaptive metamodel-assisted shape optimization for springback in metal forming processes. Int J Mat Form 12:1–18
9. Nanu N, Brabie G (2012) Analytical model for prediction of springback parameters in the case of U stretch-bending process as a function of stresses distribution in the sheet thickness. Int J Mech Sci 64(1):11–2110.1016/j.ijmecsci.2012.08.007 ↗
10. Yang X, Choi C, Sever NK, Altan T (2016) Prediction of springback in air-bending of advanced strength steel (DP780) conside-ring Young’s modulus variation and with a piecewise hardening function. Int J Mech Sci 105:266–27210.1016/j.ijmecsci.2015.11.028 ↗
11. Chongthairungruang B, Uthaisangsuk V, Suranuntchai S, Jirathearanat S (2012) Experimental and numerical investigation of springback effect for advanced high strength dual phase steel. Mat Des 39:318–32810.1016/j.matdes.2012.02.055 ↗
12. Panthi SK, Ramakrishnan N, Ahmed M, Singh SS, Goel MD (2010) Finite element analysis of sheet metal bending process to predict the springback. Mat Des 31(2):657–66210.1016/j.matdes.2009.08.022 ↗
13. Sun L, Wagoner RH (2011) Complex unloading behavior: nature of the deformation and its consistent constitutive representation. Int J Plast 27(7):1126–114410.1016/j.ijplas.2010.12.003 ↗
14. Khan AS, Baig M, Choi S-H, Yang H-S, Sun X (2012) Quasi-static and dynamic responses of advanced high strength steels: experiments and modeling. Int J Plast 30–31:1–17
15. Komgrit L, Hamasaki H, Hino R, Yoshida F (2016) Elimination of springback of high-strength steel sheet by using additional bending with counter punch. J Mater Process Technol 229:199–20610.1016/j.jmatprotec.2015.08.029 ↗
16. Yoshida F, Uemori T (2002) A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation. Int J Plast 18(5-6):661–68610.1016/S0749-6419(01)00050-X ↗
17. Boger BK, Wagoner RH, Barlat F, Lee MG, Chung K (2005) Continuous large strain, tension/compression testing of sheet material. Int J Plast 21(12):2319–234310.1016/j.ijplas.2004.12.002 ↗
18. Ohno N, Wang J-D (1993) Nonlinear kinematic hardening rule with critical state of dynamic recovery, part I: formulation and basic features for ratchetting behavior. Int J Plast 9(3):375–39010.1016/0749-6419(93)90042-O ↗
19. Chaboche JL (1986) Time-independent constitutive theories for cyclic plasticity. Int J Plast 2(2):149–18810.1016/0749-6419(86)90010-0 ↗
20. Zajkani A, Hajbarati H (2017) Investigation of the variable elastic unloading modulus coupled with nonlinear kinematic hardening in springback measuring of advanced high-strength steel in U-shaped process. J Man Process 25:391–40110.1016/j.jmapro.2016.12.022 ↗
21. Geng L, Wagoner RH (2002) Role of plastic anisotropy and its evolution on springback. Int J Mech Sci 44(1):123–14810.1016/S0020-7403(01)00085-6 ↗
22. Yoshida F, Uemori T, Fujiwara K (2002) Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain. Int J Plast 18(5):633–65910.1016/S0749-6419(01)00049-3 ↗
23. Gau JT, Kinzel GL (2001) A new model for springback prediction in which the Bauschinger effect is considered. Int J Mech Sci 43(8):1813–183210.1016/S0020-7403(01)00012-1 ↗
24. Haddadi H, Bouvier S, Banu M, Maier C, Teodosiu C (2006) Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations: modelling, numerical analysis and identification. Int J Plast 22(12):2226–227110.1016/j.ijplas.2006.03.010 ↗
25. Teodosiu C, Hu Z (1998) Microstructure in the continuum modeling of plastic anisotropy. 19th Riso Int Symp Mater Sci Proc 149–168
26. Feigenbaum HP, Dafalias YF (2014) Directional distortional hardening at large plastic deformations. Int J Sol Struct 51(23-24):3904–391810.1016/j.ijsolstr.2014.07.011 ↗
27. Feigenbaum HP, Dafalias YF (2008) Simple model for directional distortional hardening in metal plasticity within thermodynamics. J Eng Mech 134(9):730–73810.1061/(ASCE)0733-9399(2008)134:9(730) ↗
28. Feigenbaum HP, Dafalias YF (2007) Directional distortional hardening in metal plasticity within thermodynamics. Int J Sol Struct 44(22-23):7526–754210.1016/j.ijsolstr.2007.04.025 ↗
29. François M (2001) A plasticity model with yield surface distortion for non-proportional loading. Int J Plast 17(5):703–71710.1016/S0749-6419(00)00025-5 ↗
30. Barlat F, Gracio JJ, Lee M-G, Rauch EF, Vincze G (2011) An alternative to kinematic hardening in classical plasticity. Int J Plast 27:1309–132710.1016/j.ijplas.2011.03.003 ↗
31. Barlat F, Ha J, Grácio JJ, Lee M-G, Rauch EF, Vincze G (2013) Extension of homogeneous anisotropic hardening model to cross-loading with latent effects. Int J Plast 46:130–14210.1016/j.ijplas.2012.07.002 ↗
32. Badreddine H, Yue ZM, Saanouni K (2017) Modeling of the induced plastic anisotropy fully coupled with ductile damage under finite strains. Int J Sol Struc 108:49–6210.1016/j.ijsolstr.2016.10.028 ↗
33. Kim H, Kimchi M, Kardes N, Altan T (2011) Effects of variable elastic modulus on springback predictions in stamping advanced high-strength steels (AHSS). 10th Int Conf Technol Plast : 628–633
34. Chatti S, Hermi N (2011) The effect of non-linear recovery on springback prediction. J Comput Struct 89(13-14):1367–137710.1016/j.compstruc.2011.03.010 ↗
35. Vrh M, Halilovic M, Starman B (2011) A new anisotropic elasto-plastic model with degradation of elastic modulus for accurate springback simulations. Int J Mater For 4:217–225
36. Dai HL, Jiang HJ, Dai T, Xu W-L, Luo AH (2017) Investigation on the influence of damage to springback of U-shape HSLA steel plates. J Al Comp 708:575–58610.1016/j.jallcom.2017.02.270 ↗
37. Saanouni K (2012) Damage mechanics in metal forming: advanced modeling and numerical simulation. Wiley, London10.1002/9781118562192 ↗
38. Yue ZM, Badreddine H, Saanouni K, Perdahcioglu ES (2017) Experimental and numerical studies of AL7020 formability under orthogonal loading paths with considering yield surface distorsion. Int J Mech Sci 123:151–16110.1016/j.ijmecsci.2017.02.010 ↗
39. Chung K, Huh H, Han H N, Moon Y H, Barlat F (2011) The 8th international conference and workshop on numerical simulation of 3D sheet metal forming processes. Seoul, Korea
40. Kuwabara T, Kumano Y, Ziegelheim J, Kurosaki I (2009) Tension–compression asymmetry of phosphor bronze for electronic parts and its effect on bending behavior. Int J Plast 25(9):1759–177610.1016/j.ijplas.2009.01.004 ↗
41. Majidi O, Bong H, Barlat F, Lee MG, Kim C (2012) Effect of slide velocity on springback in U-draw bending of AHSS sheets with digital servo-press. St Res Int 83:347–350
42. Yue ZM, Soyarslan C, Badreddine H, Saanouni K, Tekkaya AE (2013) Inverse identification of CDM model parameters for DP1000 steel sheets using a hybrid experimental numerical methodology spanning various stress Triaxiality ratios. Key Eng Mater 554-557:2103–211010.4028/www.scientific.net/KEM.554-557.2103 ↗
43. Yoshida Y, Ishika WT (2011) Determination of ductile damage parameters by notched plate tensile test using image analysis. Mater Res Innov 15:422–42510.1179/143307511X12858957675390 ↗
44. Cao TS, Gaillac A, Montmitonnet P, Bouchard PO (2013) Identification methodology and comparison of phenomenological ductile damage models via hybrid numerical-experimental analysis of fracture experiments conducted on a zirconium alloy. Inter J Solid Struct 24:3984–3999
45. Eggertsen PA, Mattiasson K (2010) An efficient inverse approach for material hardening parameter identificat ion from a three point bending test. Engin Comp 26(2):159–17010.1007/s00366-009-0149-y ↗
46. Lee JY, Lee JW, Lee MG, Barlat F (2012) An application of homogeneous anisotropic hardening to springback prediction in pre-strained U- draw/bending. Int J Sol Struct 49:2562–2572