The plastic flow analysis of cold strained DC04 ferritic steel using BBC family yield functions under associated flow rule and non-associated flow rule concepts
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OpenAlex topics: Metallurgy and Material Forming · Metal Forming Simulation Techniques · Microstructure and Mechanical Properties of Steels
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References (47)
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1. Chahaoui O, Fares ML, Piot D, Montheillet F (2013) Mechanical modeling of macroscopic behaviour for anisotropic and heterogeneous metal alloys. Met Mater Int 19:1005–1019. https://doi.org/10.1007/s12540-013-5013-310.1007/s12540-013-5013-3 ↗
2. Chahaoui O, Matougui N, Boulahrouz S et al (2021) An Associated and Nonassociated Flow Rule Comparison for AISI 439–430TI Forming: Modeling and Experimental Analysis. Lat Am J Solids Struct 18:e406. https://doi.org/10.1590/1679-7825672410.1590/1679-78256724 ↗
3. Chahaoui O, Fares ML, Piot D, Montheillet F (2011) Monoclinic effects and orthotropic estimation for the behaviour of rolled sheet. J Mater Sci 46:1655–1667. https://doi.org/10.1007/s10853-010-4983-510.1007/s10853-010-4983-5 ↗
4. Motaman SAH, Haase C (2021) The microstructural effects on the mechanical response of polycrystals: A comparative experimental-numerical study on conventionally and additively manufactured metallic materials. Int J Plast 140:102941. https://doi.org/10.1016/j.ijplas.2021.10294110.1016/j.ijplas.2021.102941 ↗
5. Regaiguia B, Chahaoui O, Saoudi A et al (2022) An Evolutionary Anisotropic Behavior for DC04 Sheet Using Hill48 Function under Non-Associated Flow Rule Hypothesis. J Nano- Electron Phys 14:05009–1. https://doi.org/10.21272/jnep.14(5).0500910.21272/jnep.14(5).05009 ↗
6. Mises RV (1913) Mechanik der festen Körper im plastisch- deformablen Zustand. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse 1913:582–592
7. Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond A 193:281–297. https://doi.org/10.1098/rspa.1948.004510.1098/rspa.1948.0045 ↗
8. Hosford WF (1972) A Generalized Isotropic Yield Criterion. J Appl Mech 39:607–609. https://doi.org/10.1115/1.342273210.1115/1.3422732 ↗
9. Hosford WF (1996) On the crystallographic basis of yield criteria. Textures and Microstructures 26–27:479–49310.1155/TSM.26-27.479 ↗
10. Karafillis AP, Boyce MC (1993) A general anisotropic yield criterion using bounds and a transformation weighting tensor. J Mech Phys Solids 41(12):1859–8610.1016/0022-5096(93)90073-O ↗
11. Barlat F, Lian J (1989) Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions. Int J Plast 5:51–6610.1016/0749-6419(89)90019-3 ↗
12. Barlat F, Lege DJ, Brem JC (1991) A six-component yield function for anisotropic materials. Int J Plast 7:693–712. https://doi.org/10.1016/0749-6419(91)90052-Z10.1016/0749-6419(91)90052-Z ↗
13. Barlat F, Maeda Y, Chung K et al (1997) Yield function development for aluminum alloy sheets. J Mech Phys Solids 45:1727–1763. https://doi.org/10.1016/S0022-5096(97)00034-310.1016/S0022-5096(97)00034-3 ↗
14. Barlat F, Becker RC, Hayashida Y et al (1997) Yielding description for solution strengthened aluminum alloys. Int J Plast 13:385–401. https://doi.org/10.1016/S0749-6419(97)80005-810.1016/S0749-6419(97)80005-8 ↗
15. Barlat F, Brem JC, Yoon JW et al (2003) Plane stress yield function for aluminum alloy sheets—part 1: theory. Int J Plast 19:1297–1319. https://doi.org/10.1016/S0749-6419(02)00019-010.1016/S0749-6419(02)00019-0 ↗
16. Banabic D, Kuwabara T, Balan T et al (2003) Non-quadratic yield criterion for orthotropic sheet metals under plane-stress conditions. Int J Mech Sci 45:797–811. https://doi.org/10.1016/S0020-7403(03)00139-510.1016/S0020-7403(03)00139-5 ↗
17. Banabic D, Aretz H, Paraianu L, Jurco P (2005) Application of various FLD modelling approaches. Modelling Simul Mater Sci Eng 13:759–769. https://doi.org/10.1088/0965-0393/13/5/00910.1088/0965-0393/13/5/009 ↗
18. Comsa D-S, Banabic D (2008) Plane-Stress Yield Criterion for Highly-Anisotropic Sheet Metals
19. Barlat F, Aretz H, Yoon JW et al (2005) Linear transfomation-based anisotropic yield functions. Int J Plast 21:1009–1039. https://doi.org/10.1016/j.ijplas.2004.06.00410.1016/j.ijplas.2004.06.004 ↗
20. Hu Q, Yoon JW, Stoughton TB (2021) Analytical determination of anisotropic parameters for Poly6 yield function. Int J Mech Sci 201:106467. https://doi.org/10.1016/j.ijmecsci.2021.10646710.1016/j.ijmecsci.2021.106467 ↗
21. Aretz H, Barlat F (2013) New convex yield functions for orthotropic metal plasticity. Int J Non-Linear Mech 51:97–111. https://doi.org/10.1016/j.ijnonlinmec.2012.12.00710.1016/j.ijnonlinmec.2012.12.007 ↗
22. 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. https://doi.org/10.1016/j.ijplas.2013.01.01010.1016/j.ijplas.2013.01.010 ↗
23. Hu Q, Yoon JW, Manopulo N, Hora P (2021) A coupled yield criterion for anisotropic hardening with analytical description under associated flow rule: Modeling and validation. Int J Plast 136:102882. https://doi.org/10.1016/j.ijplas.2020.10288210.1016/j.ijplas.2020.102882 ↗
24. Cazacu O (2018) New yield criteria for isotropic and textured metallic materials. Int J Solids Struct 139–140:200–210. https://doi.org/10.1016/j.ijsolstr.2018.01.03610.1016/j.ijsolstr.2018.01.036 ↗
25. Yoon JW, Lou Y, Yoon J, Glazoff MV (2014) Asymmetric yield function based on the stress invariants for pressure sensitive metals. Int J Plast 56:184–202. https://doi.org/10.1016/j.ijplas.2013.11.00810.1016/j.ijplas.2013.11.008 ↗
26. Hu Q, Li X, Han X et al (2017) A normalised stress invariant-based yield criterion: Modeling and validation. Int J Plast 99:248–273. https://doi.org/10.1016/j.ijplas.2017.09.01010.1016/j.ijplas.2017.09.010 ↗
27. Lou Y, Zhang S, Yoon JW (2020) Strength modeling of sheet metals from shear to plane strain tension. Int J Plast 134:102813. https://doi.org/10.1016/j.ijplas.2020.10281310.1016/j.ijplas.2020.102813 ↗
28. Yang H, Zhang W, Zhuang X, Zhao Z (2023) Anisotropic plastic flow of low/medium carbon steel plates in different loading conditions: Characterization of the r-value. J Mater Process Technol 321:118159. https://doi.org/10.1016/j.jmatprotec.2023.11815910.1016/j.jmatprotec.2023.118159 ↗
29. Stoughton TB (2002) A non-associated flow rule for sheet metal forming. Int J Plast 18:687–714. https://doi.org/10.1016/S0749-6419(01)00053-510.1016/S0749-6419(01)00053-5 ↗
30. Stoughton TB, Yoon J-W (2004) A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming. Int J Plast 20:705–731. https://doi.org/10.1016/S0749-6419(03)00079-210.1016/S0749-6419(03)00079-2 ↗
31. Stoughton TB, Yoon JW (2006) Review of Drucker’s postulate and the issue of plastic stability in metal forming. Int J Plast 22:391–433. https://doi.org/10.1016/j.ijplas.2005.03.00210.1016/j.ijplas.2005.03.002 ↗
32. Cvitanić V, Vlak F, Lozina Ž (2008) A finite element formulation based on non-associated plasticity for sheet metal forming. Int J Plast 24:646–687. https://doi.org/10.1016/j.ijplas.2007.07.00310.1016/j.ijplas.2007.07.003 ↗
33. Safaei M, Yoon JW, De Waele W (2014) Study on the definition of equivalent plastic strain under non-associated flow rule for finite element formulation. Int J Plast 58:219–238. https://doi.org/10.1016/j.ijplas.2013.09.01010.1016/j.ijplas.2013.09.010 ↗
34. Hu Q, Li X, Chen J (2018) On the calculation of plastic strain by simple method under non-associated flow rule. Eur J Mech A Solids 67:45–57. https://doi.org/10.1016/j.euromechsol.2017.08.01710.1016/j.euromechsol.2017.08.017 ↗
35. Hou Y, Min J, Stoughton TB et al (2020) A non-quadratic pressure-sensitive constitutive model under non-associated flow rule with anisotropic hardening: Modeling and validation. Int J Plast 135:102808. https://doi.org/10.1016/j.ijplas.2020.10280810.1016/j.ijplas.2020.102808 ↗
36. Barlat F, Yoon S-Y (2023) Anisotropic Plasticity During Non-proportional Loading. In: Altenbach H, Ganczarski A (eds) Advanced Theories for Deformation, Damage and Failure in Materials. Springer International Publishing, Cham, pp 63–11910.1007/978-3-031-04354-3_2 ↗
37. Langford WF, Snyder SC, Bausch J (1950) New criteria for predicting the press performance of deep drawing steels. Trans, Amer Soc Metals 42:1197–1232
38. He Z, Zhang K, Zhu H et al (2022) An anisotropic constitutive model for forming of aluminum tubes under both biaxial tension and pure shear stress states. Int J Plast 152:103259. https://doi.org/10.1016/j.ijplas.2022.10325910.1016/j.ijplas.2022.103259 ↗
39. Tabor D (1948) A Simple Theory of Static and Dynamic Hardness. Proc R Soc Lond A 192:247–27410.1098/rspa.1948.0008 ↗
40. Tabor D (1951) The hardness of metals. Oxford University Press, Great Britain
41. Sanders PG, Youngdahl CJ, Weertman JR (1997) The strength of nanocrystalline metals with and without flaws. Mater Sci Eng A 234–236:77–82. https://doi.org/10.1016/S0921-5093(97)00185-810.1016/S0921-5093(97)00185-8 ↗
42. Cheng Y-T, Cheng C-M (2004) Scaling, dimensional analysis, and indentation measurements. Mater Sci Eng R Rep 44:91–149. https://doi.org/10.1016/j.mser.2004.05.00110.1016/j.mser.2004.05.001 ↗
43. Zhang P, Li SX, Zhang ZF (2011) General relationship between strength and hardness. Mater Sci Eng A 529:62–73. https://doi.org/10.1016/j.msea.2011.08.06110.1016/j.msea.2011.08.061 ↗
44. Levenberg K (1944) A method for the solution of certain non-linear problems in least squares. Q Appl Math 2:164–16810.1090/qam/10666 ↗
45. Marquardt DW (1963) An Algorithm for Least-Squares Estimation of Nonlinear Parameters. J Soc Ind Appl Math 11:196310.1137/0111030 ↗
46. Hockett JE, Sherby OD (1975) Large strain ~efurmatiun of polycrystalline metals at low homologous temperatures. J Mech Phys Solids 23(2):87–9810.1016/0022-5096(75)90018-6 ↗
47. Ohashi K, Utsunomiya H, Matsumoto R (2011) Evaluation of r-value of steels using Vickers hardness test. Journal of Physics10.1088/1742-6596/379/1/012045 ↗