Skip to main content
Erschienen in: International Journal of Material Forming 4/2021

17.08.2020 | Original Research

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

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

Erschienen in: International Journal of Material Forming | Ausgabe 4/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

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.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Yoshida F, Uemori T (2003) A model of large-strain cyclic plasticity and its application to springback simulation. Int J Mech Sci 45(10):1687–1702MATH Yoshida F, Uemori T (2003) A model of large-strain cyclic plasticity and its application to springback simulation. Int J Mech Sci 45(10):1687–1702MATH
2.
Zurück zum Zitat Carden WD, Geng LM, Matlock DK, Wagoner RH (2002) Measurement of springback. Int J Mech Sci 44(1):79–101MATH Carden WD, Geng LM, Matlock DK, Wagoner RH (2002) Measurement of springback. Int J Mech Sci 44(1):79–101MATH
3.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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):1189–1212MATH 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):1189–1212MATH
5.
Zurück zum Zitat 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):915–953MATH 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):915–953MATH
6.
Zurück zum Zitat 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 21:861–882MATH 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 21:861–882MATH
7.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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):11–21 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):11–21
10.
Zurück zum Zitat 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 105:266–272 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 105:266–272
11.
Zurück zum Zitat 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 39:318–328 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 39:318–328
12.
Zurück zum Zitat 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):657–662 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):657–662
13.
Zurück zum Zitat Sun L, Wagoner RH (2011) Complex unloading behavior: nature of the deformation and its consistent constitutive representation. Int J Plast 27(7):1126–1144MATH Sun L, Wagoner RH (2011) Complex unloading behavior: nature of the deformation and its consistent constitutive representation. Int J Plast 27(7):1126–1144MATH
14.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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 229:199–206 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 229:199–206
16.
Zurück zum Zitat 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):661–686MATH 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):661–686MATH
17.
Zurück zum Zitat 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):2319–2343MATH 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):2319–2343MATH
18.
Zurück zum Zitat 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):375–390MATH 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):375–390MATH
19.
Zurück zum Zitat Chaboche JL (1986) Time-independent constitutive theories for cyclic plasticity. Int J Plast 2(2):149–188MATH Chaboche JL (1986) Time-independent constitutive theories for cyclic plasticity. Int J Plast 2(2):149–188MATH
20.
Zurück zum Zitat 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 25:391–401 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 25:391–401
21.
Zurück zum Zitat Geng L, Wagoner RH (2002) Role of plastic anisotropy and its evolution on springback. Int J Mech Sci 44(1):123–148MATH Geng L, Wagoner RH (2002) Role of plastic anisotropy and its evolution on springback. Int J Mech Sci 44(1):123–148MATH
22.
Zurück zum Zitat 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):633–659MATH 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):633–659MATH
23.
Zurück zum Zitat Gau JT, Kinzel GL (2001) A new model for springback prediction in which the Bauschinger effect is considered. Int J Mech Sci 43(8):1813–1832MATH Gau JT, Kinzel GL (2001) A new model for springback prediction in which the Bauschinger effect is considered. Int J Mech Sci 43(8):1813–1832MATH
24.
Zurück zum Zitat 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):2226–2271MATH 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):2226–2271MATH
25.
Zurück zum Zitat Teodosiu C, Hu Z (1998) Microstructure in the continuum modeling of plastic anisotropy. 19th Riso Int Symp Mater Sci Proc 149–168 Teodosiu C, Hu Z (1998) Microstructure in the continuum modeling of plastic anisotropy. 19th Riso Int Symp Mater Sci Proc 149–168
26.
Zurück zum Zitat Feigenbaum HP, Dafalias YF (2014) Directional distortional hardening at large plastic deformations. Int J Sol Struct 51(23-24):3904–3918 Feigenbaum HP, Dafalias YF (2014) Directional distortional hardening at large plastic deformations. Int J Sol Struct 51(23-24):3904–3918
27.
Zurück zum Zitat Feigenbaum HP, Dafalias YF (2008) Simple model for directional distortional hardening in metal plasticity within thermodynamics. J Eng Mech 134(9):730–738 Feigenbaum HP, Dafalias YF (2008) Simple model for directional distortional hardening in metal plasticity within thermodynamics. J Eng Mech 134(9):730–738
28.
Zurück zum Zitat Feigenbaum HP, Dafalias YF (2007) Directional distortional hardening in metal plasticity within thermodynamics. Int J Sol Struct 44(22-23):7526–7542MATH Feigenbaum HP, Dafalias YF (2007) Directional distortional hardening in metal plasticity within thermodynamics. Int J Sol Struct 44(22-23):7526–7542MATH
29.
Zurück zum Zitat François M (2001) A plasticity model with yield surface distortion for non-proportional loading. Int J Plast 17(5):703–717MATH François M (2001) A plasticity model with yield surface distortion for non-proportional loading. Int J Plast 17(5):703–717MATH
30.
Zurück zum Zitat Barlat F, Gracio JJ, Lee M-G, Rauch EF, Vincze G (2011) An alternative to kinematic hardening in classical plasticity. Int J Plast 27:1309–1327MATH Barlat F, Gracio JJ, Lee M-G, Rauch EF, Vincze G (2011) An alternative to kinematic hardening in classical plasticity. Int J Plast 27:1309–1327MATH
31.
Zurück zum Zitat 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 46:130–142 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 46:130–142
32.
Zurück zum Zitat 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 108:49–62 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 108:49–62
33.
Zurück zum Zitat 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 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.
Zurück zum Zitat Chatti S, Hermi N (2011) The effect of non-linear recovery on springback prediction. J Comput Struct 89(13-14):1367–1377 Chatti S, Hermi N (2011) The effect of non-linear recovery on springback prediction. J Comput Struct 89(13-14):1367–1377
35.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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 708:575–586 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 708:575–586
37.
Zurück zum Zitat Saanouni K (2012) Damage mechanics in metal forming: advanced modeling and numerical simulation. Wiley, London Saanouni K (2012) Damage mechanics in metal forming: advanced modeling and numerical simulation. Wiley, London
38.
Zurück zum Zitat 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 123:151–161 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 123:151–161
39.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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):1759–1776 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):1759–1776
41.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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 554-557:2103–2110 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 554-557:2103–2110
43.
Zurück zum Zitat Yoshida Y, Ishika WT (2011) Determination of ductile damage parameters by notched plate tensile test using image analysis. Mater Res Innov 15:422–425 Yoshida Y, Ishika WT (2011) Determination of ductile damage parameters by notched plate tensile test using image analysis. Mater Res Innov 15:422–425
44.
Zurück zum Zitat 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 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.
Zurück zum Zitat 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):159–170 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):159–170
46.
Zurück zum Zitat 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 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
Metadaten
Titel
An application of fully coupled ductile damage model considering induced anisotropies on springback prediction of advanced high strength steel materials
verfasst von
M. Yetna N’jock
H. Badreddine
C. Labergere
Z. Yue
K. Saanouni
V.-T. Dang
Publikationsdatum
17.08.2020
Verlag
Springer Paris
Erschienen in
International Journal of Material Forming / Ausgabe 4/2021
Print ISSN: 1960-6206
Elektronische ISSN: 1960-6214
DOI
https://doi.org/10.1007/s12289-020-01582-9

Weitere Artikel der Ausgabe 4/2021

International Journal of Material Forming 4/2021 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.