Analytical anisotropic hardening extension of a differential hardening yield function for strength modelling under various stress states with non-associated flow rule by a new linear transformation tensor
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Fatigue and fracture mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (47)
Show source-provided references
1. Andar MO, Kuwabara T, Steglich D (2012) Material modeling of AZ31 Mg sheet considering variation of r-values and asymmetry of the yield locus. Mater Sci Eng A 549:82–9210.1016/j.msea.2012.04.009 ↗
2. Banabic D, Aretz H, Comsa DS, Paraianu L (2005) An improved analytical description of orthotropy in metallic sheets. Int J Plast 21:493–51210.1016/j.ijplas.2004.04.003 ↗
3. Banabic D, Kuwabara T, Balan T, Comsa DS, Julean D (2003) Non-quadratic yield criterion for orthotropic sheet metals under plane-stress conditions. Int J Mech Sci 45:797–81110.1016/S0020-7403(03)00139-5 ↗
4. Banabic D, Barlat F, Cazacu O, Kuwabara T (2020) Advances in anisotropy of plastic behaviour and formability of sheet metals. Int J Mater Form 13:749–78710.1007/s12289-020-01580-x ↗
5. Barlat F, Aretz H, Yoon JW, Karabin ME, Brem JC, Dick RE (2005) Linear transfomation-based anisotropic yield functions. Int J Plast 21:1009–103910.1016/j.ijplas.2004.06.004 ↗
6. Barlat F, Brem JC, Yoon JW, Chung K, Dick RE, Lege DJ, Pourboghrat F, Choi S-H, Chu E (2003) Plane stress yield function for aluminum alloy sheets—part 1: theory. Int J Plast 19:1297–131910.1016/S0749-6419(02)00019-0 ↗
7. Barlat F, Lege DJ, Brem JC (1991) A six-component yield function for anisotropic materials. Int J Plast 7:693–71210.1016/0749-6419(91)90052-Z ↗
8. Barlat F, Lian K (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 ↗
9. Cazacu O, Barlat F (2004) A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int J Plast 20:2027–204510.1016/j.ijplas.2003.11.021 ↗
10. Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171–119410.1016/j.ijplas.2005.06.001 ↗
11. Chen Z, Wang Y, Lou Y (2022) User-friendly anisotropic hardening function with non-associated flow rule under the proportional loadings for BCC and FCC metals. Mech Mater 165:10419010.1016/j.mechmat.2021.104190 ↗
12. Drucker DC (1949) Relation of experiments to mathematical theories of plasticity. J Appl Mech 16:349
13. Gao X, Zhang T, Zhou J, Graham SM, Hayden M, Roe C (2011) On stress-state dependent plasticity modeling: Significance of the hydrostatic stress, the third invariant of stress deviator and the non-associated flow rule. Int J Plast 27:217–23110.1016/j.ijplas.2010.05.004 ↗
14. Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc London Ser A Math Phys Sci 193:281–297
15. Hou Y, Min J, El-Aty AA, Han HN, Lee MG (2023) A new anisotropic-asymmetric yield criterion covering wider stress states in sheet metal forming. Int J Plast 166:10365310.1016/j.ijplas.2023.103653 ↗
16. Hou Y, Min J, Guo N, Lin J, Carsley JE, Stoughton TB, Traphöner H, Clausmeyer T, Tekkaya AE (2021a) Investigation of evolving yield surfaces of dual-phase steels. J Mater Process Technol 287:11631410.1016/j.jmatprotec.2019.116314 ↗
17. Hou Y, Min J, Guo N, Shen Y, Lin J (2021b) Evolving asymmetric yield surfaces of quenching and partitioning steels: Characterization and modeling. J Mater Process Technol 290:11697910.1016/j.jmatprotec.2020.116979 ↗
18. Hou Y, Min J, Lin J, Lee MG (2022) Modeling stress anisotropy, strength differential, and anisotropic hardening by coupling quadratic and stress-invariant-based yield functions under non-associated flow rule. Mech Mater 174:10445810.1016/j.mechmat.2022.104458 ↗
19. Hou Y, Min J, Stoughton TB, Lin J, Carsley JE, Carlson BE (2020) A non-quadratic pressure-sensitive constitutive model under non-associated flow rule with anisotropic hardening: Modeling and validation. Int J Plast 135:10280810.1016/j.ijplas.2020.102808 ↗
20. Hu Q, Chen J, Yoon JW (2022) A new asymmetric yield criterion based on Yld 2000–2d under both associated and non-associated flow rules: Modeling and validation. Mech Mater 16710.1016/j.mechmat.2022.104245 ↗
21. Hu Q, Li X, Han X, Li H, Chen J (2017) A normalized stress invariant-based yield criterion: modeling and validation. Int J Plast 99:248–27310.1016/j.ijplas.2017.09.010 ↗
22. Hu Q, Yoon JW (2021) Analytical description of an asymmetric yield function (Yoon2014) by considering anisotropic hardening under non-associated flow rule. Int J Plast 140:10297810.1016/j.ijplas.2021.102978 ↗
23. Hu Q, Yoon JW, Manopulo N, Hora P (2021a) A coupled yield criterion for anisotropic hardening with analytical description under associated flow rule: Modeling and validation. Int J Plast 13610.1016/j.ijplas.2020.102882 ↗
24. Hu Q, Yoon JW, Stoughton TB (2021b) Analytical determination of anisotropic parameters for Poly6 yield function. Int J Mech Sci 20110.1016/j.ijmecsci.2021.106467 ↗
25. Lee EH, Stoughton TB, Yoon JW (2017) A yield criterion through coupling of quadratic and non-quadratic functions for anisotropic hardening with non-associated flow rule. Int J Plast 99:120–14310.1016/j.ijplas.2017.08.007 ↗
26. Li H, Hu X, Yang H, Li L (2016) Anisotropic and asymmetrical yielding and its distorted evolution: Modeling and applications. Int J Plast 82:127–15810.1016/j.ijplas.2016.03.002 ↗
27. Kuwabara T, Mori T, Asano M, Hakoyama T, Barlat F (2017) Material modeling of 6016-O and 6016–T4 aluminum alloy sheets and application to hole expansion forming simulation. Int J Plast 93:164–18610.1016/j.ijplas.2016.10.002 ↗
28. Kuwabara T, Tachibana R, Takada Y, Koizumi T, Coppieters S, Barlat F (2022) Effect of hydrostatic stress on the strength differential effect in low-carbon steel sheet. Int J Mater Form 15:1310.1007/s12289-022-01650-2 ↗
29. Lou XY, Li M, Boger RK, Agnew SR, Wagoner RH (2007) Hardening evolution of AZ31B Mg sheet. Int J Plast 23:44–8610.1016/j.ijplas.2006.03.005 ↗
30. Lou Y, Yoon JW (2023) Lode-dependent anisotropic-asymmetric yield function for isotropic and anisotropic hardening of pressure-insensitive materials. Part I : quadratic function under non-associated flow rule. Int J Plast 166:10364710.1016/j.ijplas.2023.103647 ↗
31. Lou Y, Yoon JW (2018) Anisotropic yield function based on stress invariants for BCC and FCC metals and its extension to ductile fracture criterion. Int J Plast 101:125–15510.1016/j.ijplas.2017.10.012 ↗
32. Lou Y, Zhang C, Wu P, Yoon JW (2024) New geometry-inspired numerical convex analysis method for yield functions under isotropic and anisotropic hardenings. Int J Solids Struct 286–287:11258210.1016/j.ijsolstr.2023.112582 ↗
33. Lou Y, Zhang C, Zhang S, Yoon JW (2022) A general yield function with differential and anisotropic hardening for strength modelling under various stress states with non-associated flow rule. Int J Plast 158:10341410.1016/j.ijplas.2022.103414 ↗
34. Lou Y, Zhang S, Yoon JW (2020) Strength modeling of sheet metals from shear to plane strain tension. Int J Plast 134:10281310.1016/j.ijplas.2020.102813 ↗
35. Lou Y, Zhang S, Yoon JW (2019) A reduced Yld 2004 function for modeling of anisotropic plastic deformation of metals under triaxial loading. Int J Mech Sci 161–162:10502710.1016/j.ijmecsci.2019.105027 ↗
36. Park N, Stoughton TB, Yoon JW (2019) A criterion for general description of anisotropic hardening considering strength differential effect with non-associated flow rule. Int J Plast 121:76–10010.1016/j.ijplas.2019.04.015 ↗
37. Plunkett B, Lebensohn RA, Cazacu O, Barlat F (2006) Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening. Acta Mater 54:4159–416910.1016/j.actamat.2006.05.009 ↗
38. Smith J, Liu WK, Cao J (2015) A general anisotropic yield criterion for pressure-dependent materials. Int J Plast 75:2–2110.1016/j.ijplas.2015.08.009 ↗
39. Stoughton TB (2002) A non-associated flow rule for sheet metal forming. Int J Plast 18:687–71410.1016/S0749-6419(01)00053-5 ↗
40. Stoughton TB, Yoon JW (2009) Anisotropic hardening and non-associated flow in proportional loading of sheet metals. Int J Plast 25:1777–181710.1016/j.ijplas.2009.02.003 ↗
41. Wu K, Zhang S, Weiss M, Yoon JW (2024) Modeling of distortional hardening including plane strain tension and pure shear for a TWIP steel. Int J Mater Form 17:3710.1007/s12289-024-01835-x ↗
42. Yoon JW, Lou Y, Yoon J, Glazoff MV (2014) Asymmetric yield function based on the stress invariants for pressure sensitive metals. Int J Plast 56:184–20210.1016/j.ijplas.2013.11.008 ↗
43. Yoshida F, Hamasaki H, Uemori T (2015) Modeling of anisotropic hardening of sheet metals including description of the Bauschinger effect. Int J Plast 75:170–18810.1016/j.ijplas.2015.02.004 ↗
44. Zhang C, Lou Y (2024) Influences of the evolving plastic behavior of sheet metal on V-bending and springback analysis considering different stress states. Int J Plast 103889.10.1016/j.ijplas.2024.103889 ↗
45. Lou Y, Huh H, Yoon JW (2013) Consideration of strength differential effect in sheet metals with symmetric yield functions. Int J Mech Sci 66:214–22310.1016/j.ijmecsci.2012.11.010 ↗
46. Zhang C, Lou Y (2023) Characterization and modelling of evolving plasticity behaviour up to fracture for FCC and BCC metals. J Mater Process Technol 317:11799710.1016/j.jmatprotec.2023.117997 ↗
47. Yoshida F, Hamasaki H, Uemori T (2013) A user-friendly 3D yield function to describe anisotropy of steel sheets. Int J Plasticity 45:119–13910.1016/j.ijplas.2013.01.010 ↗