Abstract
This paper proposes a theoretical method for predicting the formability of magnesium alloy sheets at elevated temperatures by combining the Marciniak and Kuckzinsky model with the Logan–Hosford yield criterion. In addition, the material sensitivity under different strain rates from 0.001 to 0.1 s−1 and elevated temperatures on forming the magnesium alloy was also investigated in this study. Forming limit tests on AZ31B magnesium alloy sheets were performed concurrently for the theoretical forming limit diagram (FLD) verification using a self-developed forming facility at elevated temperatures of 200, 250, and 300 °C and, simultaneously, the material sensitivity effect under a selective strain rate of 0.01 s−1. Based on the verified FLD prediction results, numerical simulations of warm-forming a AZ31B camera casing of thickness 0.8 mm as an example were then carried out. The warm forming experiments for this camera casing, under the identical conditions, were also performed for verification. As a consequence, it was found that the effect of strain rate on the prediction of FLDs did have a significant influence with increasing temperatures. Furthermore, the results of numerical simulations showed a good agreement with those of the warm forming experiments at different elevated temperatures. The proposed theoretical method offers a relatively accurate prediction in warm-forming magnesium alloy sheets and should lead to a remarkable reduction of trials, at least in the sense of both time and cost benefits, before a large batch production. Such outcomes of the study are expected to be very helpful and contributive to professionals, engineers, and the magnesium alloy-related applications in industry.
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References
Fredrich H, Schumann S (2001) Research for a new age of magnesium in the automotive industry. J Mater Process Technol 117:276–281
Mustafa KK (2008) Magnesium and its alloys applications in automotive industry. Int J Adv Manuf Technol 39:851–865
Yoshinaga H, Horiuchi R (1963) On the flow stress of α solid solution Mg-Li alloy single crystals. Trans JIM 4:134–141
Kaneko J, Sugamata M, Numa M, Nishikawa Y, Takada H (2000) Effect of texture on the mechanical properties and formability of magnesium wrought materials. J Jpn Inst Met 64(2):141–147
Liu ZG, Lasne P, Massoni E (2011) Formability study of magnesium alloy AZ31B. In: AIP Conference Proceedings. Seoul, Republic of Korea, pp 150–157
Aida S, Tanabe H, Sugai H, Ta kano I, Ohnuki H, Kobayashi M (2000) Deep-drawability of cup on AZ31 magnesium alloy plate. J Jpn Inst Light Met 50:456–461
Zhang H, Huang GS, Kong DQ, Sang GF, Song B (2011) Influence of initial texture on formability of AZ31B magnesium alloy sheets at different temperatures. J Mater Process Technol 211:1575–1580
Kohzu M, Yoshida F, Higashi K (2003) Evaluation of press formability in magnesium alloy. Mater Sci Forum 419–422:321–326
Lee S, Chen YH, Wang JY (2002) Isothermal sheet formability of magnesium alloy AZ31 and AZ61. J Mater Process Technol 124:19–24
Lin YL, He ZB, Yuan SJ, Wu J (2011) Formability determination of AZ31B tube for IHPF process at elevated temperature. Trans Nonferrous Met Soc China 21:851–856
Yoshihara S, Yamamoto H, Manabe K, Nishimura H (2003) Formability enhancement in magnesium alloy deep drawing by local heating and cooling technique. J Mater Process Technol 143:612–615
Palaniswamy H, Ngaile G, Altan T (2004) Finite element simulation of magnesium alloy sheets forming at elevated temperatures. J Mater Process Technol 146:52–60
Abu-Farha F, Verma R, Hector LG (2012) High temperature composite forming limit diagrams of four magnesium AZ31B sheets obtained by pneumatic stretching. J Mater Process Technol 212:1414–1429
Keeler SP, Backofen WA (1963) Plastic instability and fracture in sheets stretched over rigid punches. ASM TRANS Q 56:25–48
Ozturk F, Lee D (2004) Analysis of forming limits using ductile fracture criteria. J Mater Process Technol 147:397–404
Swift HW (1952) Plastic instability under plane stress. J Mech Phys Solids 1:1–18
Hill R (1952) On discontinuous plastic states, with special reference to localized necking in thin sheets. J Mech Phys Solids 1:19–30
Marciniak Z, Kuckzinsky K (1967) Limit strain in the processes of stretch-forming sheet metal. Int J Mech Sci 9:609–620
Hutchinson JW, Neale KW (1979) Sheet necking-II. Time-independent behaviour. In: Koistinen DP, Wang NM (eds) Mechanics of sheet metal forming. Springer, New York, pp 127–153
Parmar A, Mellor PB (1978) Prediction of limit strains in sheet metal using a more general yield criterion. Int J Mech Sci 20:385–391
Hill R (1979) Theoretical plasticity of textured aggregates. Math Proc Camb Philos Soc 85:179–191
Ferron G, Mliha Touati M (1985) Determination of the forming limits in planar-isotropic and temperature-sensitive sheet metals. Int J Mech Sci 27:121–133
Min JY, Lin JP, Li JY, Bao WH (2010) Investigation on hot forming limits of high strength steel 22MnB5. Comput Mater Sci 49:326–332
Naka T, Uemori T, Hino R, Kohzu M, Higashi K, Yoshida F (2008) Effects of strain rate, temperature and sheet thickness on yield locus of AZ31 magnesium alloy sheet. J Mater Process Technol 201:395–400
Fields DS, Bachofen WA (1957) Determination of strain hardening characteristics by torsion testing. Proc ASTM 57:1259–1272
Takuda H, Morishita T, Kinoshita T, Shirakawa N (2005) Modeling of formula for flow stress of a magnesium alloy AZ31 sheet at elevated temperatures. J Mater Process Technol 164–165:1258–1262
Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171–1194
Logan RW, Hosford WF (1980) Upper-bound anisotropic yield locus calculations assuming <111 >-pencil glide. Int J Mech Sci 22:419–430
Wang L, Chan LC, Lee TC (2008) Formability analysis of magnesium alloy sheets at elevated temperatures with experimental and numerical method. J Manuf Sci Eng-Trans ASME 130:61003(7)
Graf A, Hosford WF (1990) Calculations of forming limit diagrams. Metallurgical Transactions A 21:87–94
Lai CP, Chan LC, Chow CL (2007) Effects of tooling temperatures on formability of titanium TWBs at elevated temperatures. J Mater Process Technol 191:157–160
Naka T, Torikai G, Hino R, Yoshida F (2001) The effects of temperature and forming speed on the forming limit diagram for type 5083 aluminum–magnesium alloy sheet. J Mater Process Technol 113:648–653
Palumbo G, Sorgente D, Tricarico L (2008) The design of a formability test in warm conditions for an AZ31 magnesium alloy avoiding friction and strain rate effects. Int J Mach Tools Manuf 48:1535–1545
Xu JR, Yu HP, Li CF (2012) Effects of process parameters on electromagnetic forming of AZ31 magnesium alloy sheets at room temperature. Int J Adv Manuf Technol 66:1–12
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Chan, L.C., Lu, X.Z. Material sensitivity and formability prediction of warm-forming magnesium alloy sheets with experimental verification. Int J Adv Manuf Technol 71, 253–262 (2014). https://doi.org/10.1007/s00170-013-5435-6
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DOI: https://doi.org/10.1007/s00170-013-5435-6