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Erschienen in: Experimental Mechanics 7/2014

01.09.2014

Mechanical Testing of Thin Sheet Magnesium Alloys in Biaxial Tension and Uniaxial Compression

verfasst von: D. Steglich, X. Tian, J. Bohlen, T. Kuwabara

Erschienen in: Experimental Mechanics | Ausgabe 7/2014

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Abstract

Tension and compression experiments on magnesium rolled sheets and extruded products of AZ31 (Mg + 3%Al + 1%Zn) and ZE10 (Mg + 1%Zn + 0.3%Ce based misc metal) were performed at room temperature. The tests were conducted along the longitudinal and the transverse direction to quantify the in-plane anisotropy. Samples built from adhesively-bonded layers of sheets were used for in-plane as well as through-thickness compression testing. It was verified that this simple testing method leads to identical results as using comb-like dies and equi-biaxial bulge testing, respectively. In the case of uniaxial loading, the longitudinal and transverse strain components were measured using independent extensometers. R-values were calculated from these signals. The mechanical responses were correlated to the microstructure and the texture. The recorded differences between tensile and compressive response reveal the strength differential effect of the materials. The distortional character of the plastic behaviour is evidenced through their responses to equi-biaxial tensile loading. Significant differences in the compressive responses of the two alloys were identified by comparing the respective hardening rates.

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Literatur
1.
Zurück zum Zitat Agnew SR (2002) Plastic anisotropy of magnesium alloy AZ31B sheet. Paper presented at the Magnesium Technology 2002, Seattle Agnew SR (2002) Plastic anisotropy of magnesium alloy AZ31B sheet. Paper presented at the Magnesium Technology 2002, Seattle
2.
Zurück zum Zitat Agnew SR, Duygulu Ö (2005) Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B. Int J Plast 21(6):1161–1193CrossRefMATH Agnew SR, Duygulu Ö (2005) Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B. Int J Plast 21(6):1161–1193CrossRefMATH
3.
Zurück zum Zitat Agnew SR, Yoo MH, Tome CN (2001) Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y. Acta Mater 49(20):4277–4289CrossRef Agnew SR, Yoo MH, Tome CN (2001) Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y. Acta Mater 49(20):4277–4289CrossRef
4.
Zurück zum Zitat 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 549:82–92CrossRef 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 549:82–92CrossRef
5.
Zurück zum Zitat Andar O, Steglich D, Kuwabara T (2010) Measurement and analysis of the biaxial loading and unloading behavior of AZ31 Mg alloy sheet. Paper presented at the International Conference on Advances in Materials and Processing Technologies (AMPT2010), Paris Andar O, Steglich D, Kuwabara T (2010) Measurement and analysis of the biaxial loading and unloading behavior of AZ31 Mg alloy sheet. Paper presented at the International Conference on Advances in Materials and Processing Technologies (AMPT2010), Paris
6.
Zurück zum Zitat Aretz H, Keller S (2011) On the non-balanced biaxial stress state in bulge-testing. Steel Research int, special edition Material Characterization and Modelling:738–743 Aretz H, Keller S (2011) On the non-balanced biaxial stress state in bulge-testing. Steel Research int, special edition Material Characterization and Modelling:738–743
7.
Zurück zum Zitat Bachmann F, Hielscher R, Schaeben H (2010) Texture analysis with MTEX – free and open source software toolbox. Solid State Phenom 160:63–68CrossRef Bachmann F, Hielscher R, Schaeben H (2010) Texture analysis with MTEX – free and open source software toolbox. Solid State Phenom 160:63–68CrossRef
8.
Zurück zum Zitat Ball EA, Prangnell PB (1994) Tensile-compressive yield asymmetries in high strength wrought magnesium alloys. Scr Metall Mater 31(2):111–116CrossRef Ball EA, Prangnell PB (1994) Tensile-compressive yield asymmetries in high strength wrought magnesium alloys. Scr Metall Mater 31(2):111–116CrossRef
9.
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 yield function for aluminum alloy sheets-part 1: theory. Int J Plast 19(9):1297–1319CrossRefMATH 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(9):1297–1319CrossRefMATH
10.
Zurück zum Zitat Barnett MR (2007) Twinning and the ductility of magnesium alloys: Part I: 'tension' twins. Mater Sci Eng A 464(1–2):1–7CrossRef Barnett MR (2007) Twinning and the ductility of magnesium alloys: Part I: 'tension' twins. Mater Sci Eng A 464(1–2):1–7CrossRef
11.
Zurück zum Zitat Barnett MR, Keshavarz Z, Beer AG, Atwell D (2004) Influence of grain size on the compressive deformation of wrought Mg–3Al–1Zn. Acta Mater 52:5093–5103CrossRef Barnett MR, Keshavarz Z, Beer AG, Atwell D (2004) Influence of grain size on the compressive deformation of wrought Mg–3Al–1Zn. Acta Mater 52:5093–5103CrossRef
12.
Zurück zum Zitat Boger RK, Wagoner RH, Barlat F, Lee MG, Chung K (2005) Continuous, large strain, tension/compression testing of sheet material. Int J Plast 21(12):2319–2343CrossRefMATH Boger RK, Wagoner RH, Barlat F, Lee MG, Chung K (2005) Continuous, large strain, tension/compression testing of sheet material. Int J Plast 21(12):2319–2343CrossRefMATH
13.
Zurück zum Zitat Bohlen J, Dobroň P, Swiostek J, Letzig D, Chmelík F, Lukáč P, Kainer KU (2007) On the influence of the grain size and solute content on the AE response of magnesium alloys tested in tension and compression. Mater Sci Eng A 462(1–2):302–306CrossRef Bohlen J, Dobroň P, Swiostek J, Letzig D, Chmelík F, Lukáč P, Kainer KU (2007) On the influence of the grain size and solute content on the AE response of magnesium alloys tested in tension and compression. Mater Sci Eng A 462(1–2):302–306CrossRef
14.
Zurück zum Zitat Bohlen J, Nuernberg MR, Senn JW, Letzig D, Agnew SR (2007) The texture and anisotropy of magnesium–zinc–rare earth alloy sheets. Acta Mater 55:2101–2112CrossRef Bohlen J, Nuernberg MR, Senn JW, Letzig D, Agnew SR (2007) The texture and anisotropy of magnesium–zinc–rare earth alloy sheets. Acta Mater 55:2101–2112CrossRef
15.
Zurück zum Zitat Christian JW, Mahajan S (1995) Deformation twinning. Prog Mater Sci 39:1–157CrossRef Christian JW, Mahajan S (1995) Deformation twinning. Prog Mater Sci 39:1–157CrossRef
16.
Zurück zum Zitat Cleveland RM, Ghosh AK (2002) Inelastic effects on spring back in metals. Int J Plast 18(5–6):769–785CrossRefMATH Cleveland RM, Ghosh AK (2002) Inelastic effects on spring back in metals. Int J Plast 18(5–6):769–785CrossRefMATH
17.
Zurück zum Zitat Ghaffari Tari D, Worswick MJ, Ali U, Gharghouri MA (2014) Mechanical response of AZ31B magnesium alloy: experimental characterization and material modeling considering proportional loading at room temperature. Int J Plast 55:247–267CrossRef Ghaffari Tari D, Worswick MJ, Ali U, Gharghouri MA (2014) Mechanical response of AZ31B magnesium alloy: experimental characterization and material modeling considering proportional loading at room temperature. Int J Plast 55:247–267CrossRef
18.
Zurück zum Zitat Hakamada M, Watazu A, Saito N, Iwasaki H (2009) Tension/compression anisotropy in hot forged Mg-Al-Ca-RE alloy. Mater Trans 50(7):1898–1901CrossRef Hakamada M, Watazu A, Saito N, Iwasaki H (2009) Tension/compression anisotropy in hot forged Mg-Al-Ca-RE alloy. Mater Trans 50(7):1898–1901CrossRef
19.
Zurück zum Zitat Hama T, Takuda H (2012) Crystal plasticity finite-element simulation of work-hardening behavior in a magnesium alloy sheet under biaxial tension. Comput Mater Sci 51(1):156–164CrossRef Hama T, Takuda H (2012) Crystal plasticity finite-element simulation of work-hardening behavior in a magnesium alloy sheet under biaxial tension. Comput Mater Sci 51(1):156–164CrossRef
20.
Zurück zum Zitat Hosford WF (1993) The mechanics of crystals and textured poly crystals. Oxford University Press, New York Hosford WF (1993) The mechanics of crystals and textured poly crystals. Oxford University Press, New York
21.
Zurück zum Zitat Hosford WF, Allen TJ (1973) Twinning and directional slip as a cause for a strength differential effect. Metallurgical Transactions 4(5):1424–1425. doi:10.1007/bf02644545 CrossRef Hosford WF, Allen TJ (1973) Twinning and directional slip as a cause for a strength differential effect. Metallurgical Transactions 4(5):1424–1425. doi:10.​1007/​bf02644545 CrossRef
22.
Zurück zum Zitat Jiang J, Godfrey A, Liu W, Liu Q (2008) Micro texture evolution via deformation twinning and slip during compression of magnesium alloy AZ31. Mater Sci Eng A 483–484:576–579CrossRef Jiang J, Godfrey A, Liu W, Liu Q (2008) Micro texture evolution via deformation twinning and slip during compression of magnesium alloy AZ31. Mater Sci Eng A 483–484:576–579CrossRef
23.
Zurück zum Zitat Jiang L, Jonas JJ, Luo AA, Sachdev AK, Godet S (2007) Influence of {10–12} extension twinning on the flow behavior of AZ31 Mg alloy. Mater Sci Eng A 445–446:302–309CrossRef Jiang L, Jonas JJ, Luo AA, Sachdev AK, Godet S (2007) Influence of {10–12} extension twinning on the flow behavior of AZ31 Mg alloy. Mater Sci Eng A 445–446:302–309CrossRef
24.
Zurück zum Zitat Jiang L, Jonas JJ, Mishra RK, Luo AA, Sachdev AK, Godet S (2007) Twinning and texture development in two Mg alloys subjected to loading along three different strain paths. Acta Mater 55(11):3899–3910CrossRef Jiang L, Jonas JJ, Mishra RK, Luo AA, Sachdev AK, Godet S (2007) Twinning and texture development in two Mg alloys subjected to loading along three different strain paths. Acta Mater 55(11):3899–3910CrossRef
25.
Zurück zum Zitat Kelley EW, Hosford WF (1968) The deformation characteristics of textured magnesium. Trans Metall Soc AIME 242:654–661 Kelley EW, Hosford WF (1968) The deformation characteristics of textured magnesium. Trans Metall Soc AIME 242:654–661
26.
Zurück zum Zitat Khan AS, Pandey A, Gnäupel-Herold T, Mishra RK (2011) Mechanical response and texture evolution of AZ31 alloy at large strains for different strain rates and temperatures. Int J Plast 27(5):688–706CrossRefMATH Khan AS, Pandey A, Gnäupel-Herold T, Mishra RK (2011) Mechanical response and texture evolution of AZ31 alloy at large strains for different strain rates and temperatures. Int J Plast 27(5):688–706CrossRefMATH
27.
Zurück zum Zitat Kuwabara T, Ikeda S, Kuroda K (1998) Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension. J Mater Process Technol 80–81:517–523CrossRef Kuwabara T, Ikeda S, Kuroda K (1998) Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension. J Mater Process Technol 80–81:517–523CrossRef
28.
Zurück zum Zitat Kuwabara T, Kumano Y, Ziegelheim J, Kurosaki I (2009) Tension–compression asymmetry of phosphor bronze for electronic parts and its effect on bending behavior. Int J Plast 25(9):1759–1776CrossRefMATH Kuwabara T, Kumano Y, Ziegelheim J, Kurosaki I (2009) Tension–compression asymmetry of phosphor bronze for electronic parts and its effect on bending behavior. Int J Plast 25(9):1759–1776CrossRefMATH
29.
Zurück zum Zitat Lee MG, Kim SJ, Wagoner RH, Chung K, Kim HY (2009) Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets: application to sheet spring back. Int J Plast 25(1):70–104CrossRefMATH Lee MG, Kim SJ, Wagoner RH, Chung K, Kim HY (2009) Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets: application to sheet spring back. Int J Plast 25(1):70–104CrossRefMATH
30.
Zurück zum Zitat Lou XY, Li M, Boger RK, Agnew SR, Wagoner RH (2007) Hardening evolution of AZ31B Mg sheet. Int J Plast 23(1):44–86CrossRefMATH Lou XY, Li M, Boger RK, Agnew SR, Wagoner RH (2007) Hardening evolution of AZ31B Mg sheet. Int J Plast 23(1):44–86CrossRefMATH
31.
Zurück zum Zitat Maeda Y, Yanagawa M, Barlat F, Chung K, Hayashida Y, Hattori S, Matsui K, Brem JC, Lege DJ, Murtha SJ, Ishikawa T (1998) Experimental analysis of aluminum yield surface for binary Al–-Mg alloy sheet samples. Int J Plast 14(4–5):301–318CrossRef Maeda Y, Yanagawa M, Barlat F, Chung K, Hayashida Y, Hattori S, Matsui K, Brem JC, Lege DJ, Murtha SJ, Ishikawa T (1998) Experimental analysis of aluminum yield surface for binary Al–-Mg alloy sheet samples. Int J Plast 14(4–5):301–318CrossRef
32.
Zurück zum Zitat Maksoud IA, Ahmed H, Rödel J (2009) Investigation of the effect of strain rate and temperature on the deformability and microstructure evolution of AZ31 magnesium alloy. Mater Sci Eng A 504(1–2):40–48CrossRef Maksoud IA, Ahmed H, Rödel J (2009) Investigation of the effect of strain rate and temperature on the deformability and microstructure evolution of AZ31 magnesium alloy. Mater Sci Eng A 504(1–2):40–48CrossRef
33.
Zurück zum Zitat Mekonen MN, Steglich D, Bohlen J, Letzig D, Mosler J (2012) Mechanical characterization and constitutive modeling of Mg alloy sheets. Mater Sci Eng A 540:174–186CrossRef Mekonen MN, Steglich D, Bohlen J, Letzig D, Mosler J (2012) Mechanical characterization and constitutive modeling of Mg alloy sheets. Mater Sci Eng A 540:174–186CrossRef
34.
Zurück zum Zitat Merklein M, Kuppert A (2009) A method for the layer compression test considering the anisotropic material behavior. Int J Mater Form 2(suppl 1):483–486CrossRef Merklein M, Kuppert A (2009) A method for the layer compression test considering the anisotropic material behavior. Int J Mater Form 2(suppl 1):483–486CrossRef
35.
Zurück zum Zitat Noma N, Kuwabara T (2012) Specimen geometry optimization for in-plane reverse loading test of sheet metal and experimental validation. Steel Research International Special Edition: Metal Forming 2012:1283–1286 Noma N, Kuwabara T (2012) Specimen geometry optimization for in-plane reverse loading test of sheet metal and experimental validation. Steel Research International Special Edition: Metal Forming 2012:1283–1286
36.
Zurück zum Zitat Partridge PG (1967) The crystallography and deformation modes of hexagonal close-packed metals. Metallurgical Reviews 15:169–194 Partridge PG (1967) The crystallography and deformation modes of hexagonal close-packed metals. Metallurgical Reviews 15:169–194
37.
Zurück zum Zitat Steglich D, Jeong Y, Andar MO, Kuwabara T (2012) Biaxial deformation behaviour of AZ31 magnesium alloy: crystal-plasticity-based prediction and experimental validation. Int J Solids Struct 49(25):3551–3561CrossRef Steglich D, Jeong Y, Andar MO, Kuwabara T (2012) Biaxial deformation behaviour of AZ31 magnesium alloy: crystal-plasticity-based prediction and experimental validation. Int J Solids Struct 49(25):3551–3561CrossRef
38.
Zurück zum Zitat Steglich D, Morgeneyer TF (2013) Failure of magnesium sheets under monotonic loading: 3 days examination of fracture mode and mechanisms. Int J Fract 183(1):105–112CrossRef Steglich D, Morgeneyer TF (2013) Failure of magnesium sheets under monotonic loading: 3 days examination of fracture mode and mechanisms. Int J Fract 183(1):105–112CrossRef
39.
Zurück zum Zitat Steglich D, Tian X (2013) Modelling of magnesium sheet forming operations. Numiform, Shenyang, pp 714–717 Steglich D, Tian X (2013) Modelling of magnesium sheet forming operations. Numiform, Shenyang, pp 714–717
40.
Zurück zum Zitat Tozawa N (1978) Plastic deformation behavior under the conditions of combined stress. In: Wang NM (ed) Koistinen DP. Mechanics of Sheet Metal Forming. Plenum Press, New York, pp 81–110 Tozawa N (1978) Plastic deformation behavior under the conditions of combined stress. In: Wang NM (ed) Koistinen DP. Mechanics of Sheet Metal Forming. Plenum Press, New York, pp 81–110
41.
Zurück zum Zitat Wang H, Raeisinia B, Wu PD, Agnew SR, Tomé CN (2010) Evaluation of self-consistent poly crystal plasticity models for magnesium alloy AZ31B sheet. Int J Solids Struct 47(21):2905–2917CrossRefMATH Wang H, Raeisinia B, Wu PD, Agnew SR, Tomé CN (2010) Evaluation of self-consistent poly crystal plasticity models for magnesium alloy AZ31B sheet. Int J Solids Struct 47(21):2905–2917CrossRefMATH
42.
Zurück zum Zitat Wang YN, Huang JC (2007) The role of twinning and untwinning in yielding behavior in hot-extruded Mg-Al-Zn alloy. Acta Mater 55(3):897–905CrossRef Wang YN, Huang JC (2007) The role of twinning and untwinning in yielding behavior in hot-extruded Mg-Al-Zn alloy. Acta Mater 55(3):897–905CrossRef
43.
Zurück zum Zitat Wonsiewicz BC, Backofen WA (1967) Plasticity of magnesium crystals. Trans Metall Soc AIME 239:1422–1433 Wonsiewicz BC, Backofen WA (1967) Plasticity of magnesium crystals. Trans Metall Soc AIME 239:1422–1433
44.
Zurück zum Zitat Yi S, Bohlen J, Heinemann F, Letzig D (2009) Mechanical anisotropy and deep drawing behaviour of AZ31 and ZE10 magnesium alloy sheets. Acta Mater 58(2):592–605CrossRef Yi S, Bohlen J, Heinemann F, Letzig D (2009) Mechanical anisotropy and deep drawing behaviour of AZ31 and ZE10 magnesium alloy sheets. Acta Mater 58(2):592–605CrossRef
45.
Zurück zum Zitat Yoshida F, Uemori T, Fujiwara K (2002) Elastic–plastic behavior of steel sheets under in-plane cyclic tension–compression at large strain. Int J Plast 18(5–6):633–659CrossRefMATH Yoshida F, Uemori T, Fujiwara K (2002) Elastic–plastic behavior of steel sheets under in-plane cyclic tension–compression at large strain. Int J Plast 18(5–6):633–659CrossRefMATH
46.
Zurück zum Zitat Young RF, Bird JE, Duncan JL (1981) An automated hydraulic bulge tester. J Appl Metalwork 2(1):11–18CrossRef Young RF, Bird JE, Duncan JL (1981) An automated hydraulic bulge tester. J Appl Metalwork 2(1):11–18CrossRef
47.
Zurück zum Zitat Zhang J, Yu Q, Jiang Y, Li Q (2011) An experimental study of cyclic deformation of extruded AZ61A magnesium alloy. Int J Plast 27(5):768–787CrossRefMATH Zhang J, Yu Q, Jiang Y, Li Q (2011) An experimental study of cyclic deformation of extruded AZ61A magnesium alloy. Int J Plast 27(5):768–787CrossRefMATH
Metadaten
Titel
Mechanical Testing of Thin Sheet Magnesium Alloys in Biaxial Tension and Uniaxial Compression
verfasst von
D. Steglich
X. Tian
J. Bohlen
T. Kuwabara
Publikationsdatum
01.09.2014
Verlag
Springer US
Erschienen in
Experimental Mechanics / Ausgabe 7/2014
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-014-9892-0

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