journal article·2017-06

Earing in cup-drawing of anisotropic Al-6022-T4 sheets

Haobin Tian, Benjamin Brownell, Madhav Baral, Yannis P. Korkolis

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Abstract

The prediction of earing during cup-drawing of the anisotropic aluminum alloy Al-6022-T4 is studied through a combination of experiments and analysis. At first, the anisotropy of the material is established experimentally, using uniaxial and plane-strain tension, as well as disk compression experiments. The material is seen to possess mild anisotropy, which however evolves with deformation. Two plastic potentials, Yld89 and Yld2000-2D are then calibrated to that data. The latter potential is flexible enough to represent the experimental plastic work contours almost exactly. Subsequently, the cup-drawing experiments are detailed, including descriptions of the equipment and tooling, measurements during forming as well as measurements of thickness and earing in the drawn-cups. Three analytical models for predicting the maximum drawing force are compared to the experiments. The cups exhibit maximum thinning around the punch-radius, as well as four ears. The ears are oriented along the RD and TD directions, with the TD ears being higher than the RD ones. A simple analytical model is seen to closely capture these results. The experiments are then simulated with shell finite elements in DYNAFORM, which uses the explicit solver of LS-DYNA. The simulations permitted the inverse determination of the friction between the blank and the tooling. The thickness and earing profile predictions from the numerical model are in good agreement with the experiments.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties

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References (38)

Show source-provided references
1. Lange K (ed) (1985) Handbook of metal forming, Soc. of Manufacturing Engineers, Dearborn, MI
2. Tucker GEG (1961) Texture and earing in deep drawing of aluminium. Acta Metall 9:275–28610.1016/0001-6160(61)90220-6 ↗
3. Jevons JD (1942) The metallurgy of deep drawing and pressing. John Wiley & Sons
4. Sachs G (1951) Principles and methods of sheet-metal fabricating. Reinhold Pub. Co
5. Johnson W, Mellor PB (1973) Engineering plasticity. Van Nostrand Reinhold Company, London
6. Marciniak Z, Duncan JL (1992) Mechanics of sheet metal forming. Edward Arnold, London
7. Hosford WF, Caddell RM (2007) Metal forming: mechanics and metallurgy. Cambridge Univ. Press, New York10.1017/CBO9780511811111 ↗
8. Mamalis AG, Manolakos DE, Baldoukas AK (1997) Simulation of sheet metal forming using explicit finite-element techniques: effect of material and forming characteristics: part 1. Deep-drawing of cylindrical cups. J Mater Process Technol 72:48–6010.1016/S0924-0136(97)00128-3 ↗
9. Comstock RJ, Li K, Wagoner RH (2001) Simulation of axisymmetric sheet forming tests. J Mater Process Technol 117:153–16810.1016/S0924-0136(01)01089-5 ↗
10. Yoon JW, Barlat F, Chung K, Pourboghrat F, Yang DY (1998) Influence of initial back stress on the earing prediction of drawn cups for planar anisotropic aluminum sheets. J Mater Process Technol 80:433–43710.1016/S0924-0136(98)00148-4 ↗
11. 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 ↗
12. Moreira LP, Ferron G, Ferran G (2000) Experimental and numerical analysis of the cup drawing test for orthotropic metal sheets. J Mater Process Technol 108:78–8610.1016/S0924-0136(00)00660-9 ↗
13. Yoon JW, Barlat F, Dick RE, Chung K, Kang TJ (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 ↗
14. Stoughton TB, Yoon JW (2005) Sheet metal formability analysis for anisotropic materials under non-proportional loading. Int J Mech Sci 47:1972–200210.1016/j.ijmecsci.2005.06.005 ↗
15. Ahn DC, Yoon JW, Kim KY (2009) Modeling of anisotropic plastic behavior of ferritic stainless steel sheet. Int J Mech Sci 51:718–72510.1016/j.ijmecsci.2009.08.003 ↗
16. Yoon JH, Cazacu O, Yoon JW, Dick RE (2010) Earing predictions for strongly textured aluminum sheets. Int J Mech Sci 52:1563–157810.1016/j.ijmecsci.2010.07.005 ↗
17. 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 ↗
18. Bong HJ, Barlat F, Ahn DC, Kim HY, Lee MG (2013) Formability of austenitic and ferritic stainless steels at warm forming temperature. Int J Mech Sci 75:94–10910.1016/j.ijmecsci.2013.05.017 ↗
19. Vrh M, Halilovič M, Starman B, Štok B, Comsa DS, Banabic D (2014) Capability of the BBC2008 yield criterion in predicting the earing profile in cup deep drawing simulations. Eur J Mech A Solids 45:59–7410.1016/j.euromechsol.2013.11.013 ↗
20. 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 ↗
21. Aretz H, Barlat F (2013) New convex yield functions for orthotropic metal plasticity. Int J Non Linear Mech 51:97–11110.1016/j.ijnonlinmec.2012.12.007 ↗
22. Hill R, Hecker SS, Stout MG (1994) An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load. Int J Solids Struct 21:2999–302110.1016/0020-7683(94)90065-5 ↗
23. Kuwabara T, Yoshida K, Narihara K, Takahashi S (2005) Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure. Int J Plast 21:101–11710.1016/j.ijplas.2004.04.006 ↗
24. Korkolis YP, Kyriakides S (2008) Inflation and burst of anisotropic aluminum tubes for hydroforming applications. Int J Plast 24(3):509–54310.1016/j.ijplas.2007.07.010 ↗
25. Korkolis YP, Kyriakides S, Giagmouris T, Lee L-H (2010) Constitutive modeling and rupture predictions of Al-6061-T6 tubes under biaxial loading paths. ASME J Appl Mech 77:64501–1–510.1115/1.4001940 ↗
26. Dick CP, Korkolis YP (2015) Anisotropy of thin-walled tubes by a new method of combined tension and shear loading. Int J Plast 71:87–11210.1016/j.ijplas.2015.04.006 ↗
27. Dick CP, Korkolis YP (2014) Mechanics and Full-Field Deformation Study of the Ring Hoop Tension Test. Int J Solids Struct 51:3042–305710.1016/j.ijsolstr.2014.04.023 ↗
28. Barlat F, Brem JC, Yoon JW, Chung K, Dick RE, Lege DJ, Pourboghrat F, Choi S-H, Chu E (2003) Plane stress function for aluminum alloy sheets-part I: theory. Int J Plast 19:1297–131910.1016/S0749-6419(02)00019-0 ↗
29. Tardif N, Kyriakides S (2012) Determination of anisotropy and material hardening for aluminum sheet metal. Int J Solids Struct 49(25):3496–350610.1016/j.ijsolstr.2012.01.011 ↗
30. Aretz H, Aegerter J, Engler O (2010) Analysis of earing in deep drawn cups. In: Proc. NUMIFORM 2010, Pohang, Korea, June 13–17, 201010.1063/1.3457585 ↗
31. 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 ↗
32. Korkolis YP, Kyriakides S (2009) Path-dependent failure of inflated aluminum tubes. Int J Plast 25:2059–208010.1016/j.ijplas.2008.12.016 ↗
33. Hosford WF (1972) A generalized isotropic yield criterion. ASME J Appl Mech 309:607–60910.1115/1.3422732 ↗
34. Logan RW, Hosford WF (1980) Upper-bound anisotropic yield locus calculations assuming <111>−pencil glide. Int J Mech Sci 22:419–43010.1016/0020-7403(80)90011-9 ↗
35. Beddoes J, Bibby M (2003) Principles of metal manufacturing processes. Butterworth-Heinemann
36. Backofen WA (1972) Deformation processing. Addison-Wesley Pub. Co
37. Korkolis YP, Kyriakides S (2011) Hydroforming of anisotropic aluminum tubes. Part II: analysis. Int J Mech Sci 53:83–9010.1016/j.ijmecsci.2010.11.004 ↗
38. Giagmouris T, Kyriakides S, Korkolis YP, Lee L-H (2010) On the localization and failure in aluminum shells due to crushing-induced bending and tension. Int J Solids Struct 47:2680–269210.1016/j.ijsolstr.2010.05.023 ↗