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Erschienen in: International Journal of Material Forming 3/2017

30.01.2016 | Original Research

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

verfasst von: Haobin Tian, Benjamin Brownell, Madhav Baral, Yannis P. Korkolis

Erschienen in: International Journal of Material Forming | Ausgabe 3/2017

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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.

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Literatur
1.
Zurück zum Zitat Lange K (ed) (1985) Handbook of metal forming, Soc. of Manufacturing Engineers, Dearborn, MI Lange K (ed) (1985) Handbook of metal forming, Soc. of Manufacturing Engineers, Dearborn, MI
2.
Zurück zum Zitat Tucker GEG (1961) Texture and earing in deep drawing of aluminium. Acta Metall 9:275–286CrossRef Tucker GEG (1961) Texture and earing in deep drawing of aluminium. Acta Metall 9:275–286CrossRef
3.
Zurück zum Zitat Jevons JD (1942) The metallurgy of deep drawing and pressing. John Wiley & Sons Jevons JD (1942) The metallurgy of deep drawing and pressing. John Wiley & Sons
4.
Zurück zum Zitat Sachs G (1951) Principles and methods of sheet-metal fabricating. Reinhold Pub. Co Sachs G (1951) Principles and methods of sheet-metal fabricating. Reinhold Pub. Co
5.
Zurück zum Zitat Johnson W, Mellor PB (1973) Engineering plasticity. Van Nostrand Reinhold Company, London Johnson W, Mellor PB (1973) Engineering plasticity. Van Nostrand Reinhold Company, London
6.
Zurück zum Zitat Marciniak Z, Duncan JL (1992) Mechanics of sheet metal forming. Edward Arnold, London Marciniak Z, Duncan JL (1992) Mechanics of sheet metal forming. Edward Arnold, London
7.
Zurück zum Zitat Hosford WF, Caddell RM (2007) Metal forming: mechanics and metallurgy. Cambridge Univ. Press, New YorkCrossRef Hosford WF, Caddell RM (2007) Metal forming: mechanics and metallurgy. Cambridge Univ. Press, New YorkCrossRef
8.
Zurück zum Zitat 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 72:48–60CrossRef 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 72:48–60CrossRef
9.
Zurück zum Zitat Comstock RJ, Li K, Wagoner RH (2001) Simulation of axisymmetric sheet forming tests. J Mater Process Technol 117:153–168CrossRef Comstock RJ, Li K, Wagoner RH (2001) Simulation of axisymmetric sheet forming tests. J Mater Process Technol 117:153–168CrossRef
10.
Zurück zum Zitat 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 80:433–437CrossRef 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 80:433–437CrossRef
11.
Zurück zum Zitat Yoon JW, Barlat F, Chung K, Pourboghrat F, Yang DY (2000) Earing predictions based on asymmetric nonquadratic yield function. Int J Plast 16:1075–1104CrossRefMATH Yoon JW, Barlat F, Chung K, Pourboghrat F, Yang DY (2000) Earing predictions based on asymmetric nonquadratic yield function. Int J Plast 16:1075–1104CrossRefMATH
12.
Zurück zum Zitat Moreira LP, Ferron G, Ferran G (2000) Experimental and numerical analysis of the cup drawing test for orthotropic metal sheets. J Mater Process Technol 108:78–86CrossRef Moreira LP, Ferron G, Ferran G (2000) Experimental and numerical analysis of the cup drawing test for orthotropic metal sheets. J Mater Process Technol 108:78–86CrossRef
13.
Zurück zum Zitat 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 20:495–522CrossRefMATH 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 20:495–522CrossRefMATH
14.
Zurück zum Zitat Stoughton TB, Yoon JW (2005) Sheet metal formability analysis for anisotropic materials under non-proportional loading. Int J Mech Sci 47:1972–2002CrossRefMATH Stoughton TB, Yoon JW (2005) Sheet metal formability analysis for anisotropic materials under non-proportional loading. Int J Mech Sci 47:1972–2002CrossRefMATH
15.
Zurück zum Zitat Ahn DC, Yoon JW, Kim KY (2009) Modeling of anisotropic plastic behavior of ferritic stainless steel sheet. Int J Mech Sci 51:718–725CrossRef Ahn DC, Yoon JW, Kim KY (2009) Modeling of anisotropic plastic behavior of ferritic stainless steel sheet. Int J Mech Sci 51:718–725CrossRef
16.
Zurück zum Zitat Yoon JH, Cazacu O, Yoon JW, Dick RE (2010) Earing predictions for strongly textured aluminum sheets. Int J Mech Sci 52:1563–1578CrossRef Yoon JH, Cazacu O, Yoon JW, Dick RE (2010) Earing predictions for strongly textured aluminum sheets. Int J Mech Sci 52:1563–1578CrossRef
17.
Zurück zum Zitat 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 49:3582–3593CrossRef 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 49:3582–3593CrossRef
18.
Zurück zum Zitat 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 75:94–109CrossRef 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 75:94–109CrossRef
19.
Zurück zum Zitat 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 45:59–74MathSciNetCrossRef 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 45:59–74MathSciNetCrossRef
20.
Zurück zum Zitat 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 22:174–193CrossRefMATH 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 22:174–193CrossRefMATH
21.
Zurück zum Zitat Aretz H, Barlat F (2013) New convex yield functions for orthotropic metal plasticity. Int J Non Linear Mech 51:97–111CrossRef Aretz H, Barlat F (2013) New convex yield functions for orthotropic metal plasticity. Int J Non Linear Mech 51:97–111CrossRef
22.
Zurück zum Zitat 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 21:2999–3021CrossRefMATH 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 21:2999–3021CrossRefMATH
23.
Zurück zum Zitat 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 21:101–117CrossRefMATH 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 21:101–117CrossRefMATH
24.
Zurück zum Zitat Korkolis YP, Kyriakides S (2008) Inflation and burst of anisotropic aluminum tubes for hydroforming applications. Int J Plast 24(3):509–543CrossRefMATH Korkolis YP, Kyriakides S (2008) Inflation and burst of anisotropic aluminum tubes for hydroforming applications. Int J Plast 24(3):509–543CrossRefMATH
25.
Zurück zum Zitat 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 77:64501–1–5CrossRef 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 77:64501–1–5CrossRef
26.
Zurück zum Zitat Dick CP, Korkolis YP (2015) Anisotropy of thin-walled tubes by a new method of combined tension and shear loading. Int J Plast 71:87–112CrossRef Dick CP, Korkolis YP (2015) Anisotropy of thin-walled tubes by a new method of combined tension and shear loading. Int J Plast 71:87–112CrossRef
27.
Zurück zum Zitat Dick CP, Korkolis YP (2014) Mechanics and Full-Field Deformation Study of the Ring Hoop Tension Test. Int J Solids Struct 51:3042–3057CrossRef Dick CP, Korkolis YP (2014) Mechanics and Full-Field Deformation Study of the Ring Hoop Tension Test. Int J Solids Struct 51:3042–3057CrossRef
28.
Zurück zum Zitat 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 19:1297–1319CrossRefMATH 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 19:1297–1319CrossRefMATH
29.
Zurück zum Zitat Tardif N, Kyriakides S (2012) Determination of anisotropy and material hardening for aluminum sheet metal. Int J Solids Struct 49(25):3496–3506CrossRef Tardif N, Kyriakides S (2012) Determination of anisotropy and material hardening for aluminum sheet metal. Int J Solids Struct 49(25):3496–3506CrossRef
30.
Zurück zum Zitat Aretz H, Aegerter J, Engler O (2010) Analysis of earing in deep drawn cups. In: Proc. NUMIFORM 2010, Pohang, Korea, June 13–17, 2010 Aretz H, Aegerter J, Engler O (2010) Analysis of earing in deep drawn cups. In: Proc. NUMIFORM 2010, Pohang, Korea, June 13–17, 2010
31.
Zurück zum Zitat 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 5:51–66CrossRef 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 5:51–66CrossRef
32.
Zurück zum Zitat Korkolis YP, Kyriakides S (2009) Path-dependent failure of inflated aluminum tubes. Int J Plast 25:2059–2080CrossRef Korkolis YP, Kyriakides S (2009) Path-dependent failure of inflated aluminum tubes. Int J Plast 25:2059–2080CrossRef
33.
Zurück zum Zitat Hosford WF (1972) A generalized isotropic yield criterion. ASME J Appl Mech 309:607–609CrossRef Hosford WF (1972) A generalized isotropic yield criterion. ASME J Appl Mech 309:607–609CrossRef
34.
Zurück zum Zitat Logan RW, Hosford WF (1980) Upper-bound anisotropic yield locus calculations assuming <111>−pencil glide. Int J Mech Sci 22:419–430CrossRef Logan RW, Hosford WF (1980) Upper-bound anisotropic yield locus calculations assuming <111>−pencil glide. Int J Mech Sci 22:419–430CrossRef
35.
Zurück zum Zitat Beddoes J, Bibby M (2003) Principles of metal manufacturing processes. Butterworth-Heinemann Beddoes J, Bibby M (2003) Principles of metal manufacturing processes. Butterworth-Heinemann
36.
Zurück zum Zitat Backofen WA (1972) Deformation processing. Addison-Wesley Pub. Co Backofen WA (1972) Deformation processing. Addison-Wesley Pub. Co
37.
Zurück zum Zitat Korkolis YP, Kyriakides S (2011) Hydroforming of anisotropic aluminum tubes. Part II: analysis. Int J Mech Sci 53:83–90CrossRef Korkolis YP, Kyriakides S (2011) Hydroforming of anisotropic aluminum tubes. Part II: analysis. Int J Mech Sci 53:83–90CrossRef
38.
Zurück zum Zitat 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 47:2680–2692CrossRefMATH 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 47:2680–2692CrossRefMATH
Metadaten
Titel
Earing in cup-drawing of anisotropic Al-6022-T4 sheets
verfasst von
Haobin Tian
Benjamin Brownell
Madhav Baral
Yannis P. Korkolis
Publikationsdatum
30.01.2016
Verlag
Springer Paris
Erschienen in
International Journal of Material Forming / Ausgabe 3/2017
Print ISSN: 1960-6206
Elektronische ISSN: 1960-6214
DOI
https://doi.org/10.1007/s12289-016-1282-y

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