On the efficiency and accuracy of stress integration algorithms for constitutive models based on non-associated flow rule
Source abstract
Abstract
International Journal of Material Forming, 11 (2)
The source flagged this abstract for review. Check formulas and completeness against the original publication.
Source: openaire · Quality: needs review · Source record ↗
Source flags: short_text
Source flags: short_text
Research context
OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Elasticity and Material Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (36)
Show source-provided references
1. Banabic D, Aretz H, Comsa DS, Paraianu L (2005) Theoretical plasticity of textured aggregates. Int J Plast 21:493–51210.1016/j.ijplas.2004.04.003 ↗
2. Barlat F, Aretz H, Yoon JW, Karabin ME, Brem JC, Dick RE (2005) Yielding description for solution strengthened aluminum alloys. Int J Plast 21:1009–103910.1016/j.ijplas.2004.06.004 ↗
3. Barlat F, Becker RC, Hayashida Y, Maeda Y, Yanagawa M, Chung K, Brem JC, Lege DJ, Matsui K, Murtha SJ, Hattori S (1997) Yielding description for solution strengthened aluminum alloys. Int J Plast 13:385–40110.1016/S0749-6419(97)80005-8 ↗
4. Barlat F, Brem JC, Yoon JW, Chung K, Dick RE, Lege DJ, Pourboghrat F, Choi SH, 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 ↗
5. Barlat F, Lege JD, Brem JC (1991) A six-component yield function for anisotropic materials. Int J Plast 7:693–71210.1016/0749-6419(91)90052-Z ↗
6. 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 5:5110.1016/0749-6419(89)90019-3 ↗
7. Belytschko T, Wong BL, Chiang HY (1992) Advances in one-point quadrature shell elements. Comput Methods Appl Mech Eng 96:93–10710.1016/0045-7825(92)90100-X ↗
8. Bishop JFW, Hill R (1951) A theory of plastic distortion of a polycrystalline aggregate under combined stresses. Phil Mag 42:41410.1080/14786445108561065 ↗
9. Bland DR (1951) The associated flow rule of plasticity. J Mech Phys Solids 6:71–7810.1016/0022-5096(57)90049-2 ↗
10. Brunig M (1999) Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids. Int J Plast 15:1237–126410.1016/S0749-6419(99)00042-X ↗
11. Brunig M, Obrecht H (1999) Finite elastic-plastic deformation behavior of crystalline solids based on a non-associated macroscopic flow rule. Int J Plast 14:1189–120810.1016/S0749-6419(98)00047-3 ↗
12. Casey J, Sullivan TD (1985) Pressure dependency, strength-differential effect, and plastic volume expansion in metals. Int J Plast 1:39–6110.1016/0749-6419(85)90013-0 ↗
13. Cazacu O, Flunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171– 119410.1016/j.ijplas.2005.06.001 ↗
14. Cazacu O, Ionescu IR, Yoon JW (2010) Orthotropic strain rate potential for the description of anisotropy in tension and compression of metals. Int J Plast 26:887–90410.1016/j.ijplas.2009.11.005 ↗
15. Drucker DC A more fundamental approach to plastic stress-strain relations. Proceedings of the First US National Congress of Applied Mechanics 1951, :487–491
16. Drucker DC (1959) A definition of stable inelastic material. J Appl Mech 26:101–10610.1115/1.4011929 ↗
17. Drucker DC (1964) On the postulate of stability of material in the mechanics of continua. J Mech 3:235–249
18. Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond 193:28110.1098/rspa.1948.0045 ↗
19. Hill R (1979) Theoretical plasticity of textured aggregates. Math Proc Camb 85:179–19110.1017/S0305004100055596 ↗
20. Li M, Richmond O (1997) Intrinsic instability and nonuniformity of plastic deformation. Int J Plast 8-9:765–78410.1016/S0749-6419(97)00032-6 ↗
21. Ortiz M, Simo JC (1986) An analysis of a new class of integration algorithms for elastoplastic constitutive relations. Int J Numer Methods Eng 23:353–36610.1002/nme.1620230303 ↗
22. Park T, Chung K (2012) Non-associated flow rule with symmetric stiffness modulus for isotropic-kinematic hardening and its application for earing in circular cup drawing. Int J Solids Struct 49:3582–359310.1016/j.ijsolstr.2012.02.015 ↗
23. Paulino M, Yoon JW (2015) Study on yield function and plastic potential under non-associated flow for accurate prediction in cup drawing. Seel Research International 86:852–86010.1002/srin.201400566 ↗
24. Safaei M, Yoon JW, Waele WD (2014) Study on the definition of equivalent plastic strain under non-associated flow rule for finite element formulation. Int J Plast 58:219–23810.1016/j.ijplas.2013.09.010 ↗
25. Spitzig WA, Richmond O (1984) The effect of pressure on the flow stress of metals. Acta Metallurgica 32:457–46310.1016/0001-6160(84)90119-6 ↗
26. Stoughton TB (2002) A non-associated flow rule for sheet metal forming. Int J Plast 18:687–71410.1016/S0749-6419(01)00053-5 ↗
27. Stoughton TB, Yoon JW (2004) A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming. Int J Plast 20:705–73110.1016/S0749-6419(03)00079-2 ↗
28. Stoughton TB, Yoon JW (2006) Review of drucker’s postulate and the issue of plastic stability in metal forming. Int J Plast 22:391–43310.1016/j.ijplas.2005.03.002 ↗
29. Stoughton TB, Yoon JW (2008) On the existence of indeterminate solutions to the equations of motion under non-associated flow. Int J Plast 24:583–61310.1016/j.ijplas.2007.07.002 ↗
30. Yoon JH, Cazacu O, Yoon JW, Dick RE (2010) Earing predictions for strongly textured aluminium sheets. Int J Mech Sci 52:1563–157810.1016/j.ijmecsci.2010.07.005 ↗
31. Yoon JW, Barlat F, Chung K, Pourboghrat F, Yang DY (2000) Earing predictions based on asymmetric nonquadratic yield function. Int J Plast 16:1075–110410.1016/S0749-6419(99)00086-8 ↗
32. Yoon JW, Barlat F, Dick RE, Karabin ME (2004) Plane stress yield function for aluminum alloy sheets - part ii: Fe formulation and its implementation. Int J Plast 20:495–52210.1016/S0749-6419(03)00099-8 ↗
33. Yoon JW, Barlat F, Dick RE, Karabin ME (2006) Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function. Int J Plast 22:174–19310.1016/j.ijplas.2005.03.013 ↗
34. Yoon JW, Dick RE, Barlat F (2011) A new analytical theory for earing generated from anisotropic plasticity. Int J Plast 27:1165–118410.1016/j.ijplas.2011.01.002 ↗
35. 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 ↗
36. Yoon JW, Stoughton TB, Dick RE (2007) Earing prediction in cup drawing based on non-associated flow rule. AIP Conference Proceedings: Proceedings of ’Materials Processing and Design: Modeling, Simulation and Applications’10.1063/1.2740890 ↗