Prediction of forming limit diagrams using the modified M-K method in hydroforming of aluminum tubes
- 456 Downloads
- 3 Citations
Abstract
The purpose of this study is to predict forming limit diagrams (FLDs) for AA6063 and AA6065 aluminum seamless extruded tubes. The Modified Marciniak and Kuczynski (M-K) method is used with Barlat’s 1989 anisotropic yield function and Voce equation. Furthermore, a new calibration method for FLD determination based on the modified M-K method is also applied. The predicted forming limits correlate well with experimental data. It is shown that in comparison to other methods, this method is able to predict necking in tube hydroforming with more accuracy. Therefore, this method can be used to predict bursting in a wide range of practical tube hydroforming of aluminum alloys.
Keywords
Tube Hydroforming M-K Method Forming limit diagram AluminumNotes
Acknowledgment
The author would like to acknowledge the financial support of Iran National Science Foundation (INSF).
References
- 1.Ahmetoglu M, Altan T (2000) Tube hydroforming: state-of-the-art and future trends. J Mater Process Technol 98(1):25–33CrossRefGoogle Scholar
- 2.Kim J, Kim YW, Kang BS, Hwan SM (2004) Finite element analysis for bursting failure prediction in bulge forming of a seamed tube. Finite Elem Anal Des 40:953–966CrossRefGoogle Scholar
- 3.Kim J, Kim SW, Song WJ, Kang BS (2005) Analytical and numerical approach to prediction of forming limit in tube hydroforming. Int J Mech Sci 47:1023–1037CrossRefMATHGoogle Scholar
- 4.Kim J, Kim SW, Song WJ, Kang BS (2004) Analytical approach to bursting in tube hydroforming using diffuse plastic instability. Int J Mech Sci 46(10):1535–1547CrossRefMATHGoogle Scholar
- 5.Hwang YM, Lin YK, Chuang HC (2009) Forming limit diagrams of tubular materials by bulge tests. J Mater Process Technol 209:5024–5034CrossRefGoogle Scholar
- 6.Kim SW, Song WJ, Kang BS, Kim J (2009) Bursting failure prediction in tube hydroforming using FLSD. Int J Adv Manuf Technol 41(3–4):311–322CrossRefGoogle Scholar
- 7.Chen X, Li S, Yu Z, Lin Z (2012) Study on experimental approaches of forming limit curve for tube hydroforming. Int J Adv Manuf Technol 61:87–100CrossRefGoogle Scholar
- 8.Marciniak Z, Kuczynski K (1967) Limit strains in the process of stretch-forming sheet metal. Int J Mech Sci 9:609–20CrossRefMATHGoogle Scholar
- 9.Assempour A, Hashemi R, Abrinia K, Ganjiani M, Masoumi E (2009) A methodology for prediction of forming limit stress diagrams considering the strain path effect. Comput Mater Sci 45:195–204CrossRefGoogle Scholar
- 10.Safikhani AR, Hashemi R, Assempour A (2008) The strain gradient approach for determination of forming limit stress and strain diagrams. Proc IME B J Eng Manufact 222(4):467–483CrossRefGoogle Scholar
- 11.Nurcheshmeh M, Green DE (2012) Influence of out-of-plane compression stress on limit strains in sheet metals. Int J Mater Form 5:213–226CrossRefGoogle Scholar
- 12.Hashemi R, Ghazanfari A, Abrinia K, Assempour A (2013) The effect of the imposed boundary rate on the formability of strain rate sensitive sheets using the M-K method. J Mater Eng Perform 22(9):2522–2527CrossRefGoogle Scholar
- 13.Zeng D, Zhu X, Chappuis L, Xia ZC (2009) A path independent forming limit criterion for sheet metal forming simulations. SAE Int J Mater Manuf 1(1):809–817CrossRefGoogle Scholar
- 14.Hashemi R, Abrinia K (2014) Analysis of the extended stress-based forming limit curve considering the effects of strain path and through-thickness normal stress. Mater Des 54:670–677CrossRefGoogle Scholar
- 15.Assempour A, Nejadkhaki HK, Hashemi R (2010) Forming limit diagrams with the existence of through-thickness normal stress. Comput Mater Sci 48(3):504–508CrossRefGoogle Scholar
- 16.Banabic D, Barlat F, Cazacu O, Kuwabara T (2010) Advances in anisotropy and formability. Int J Mater Form 3(3):165–189CrossRefGoogle Scholar
- 17.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(1):51–66CrossRefGoogle Scholar
- 18.Metals Test Methods and Analytical Procedures (2000) Annual Book of ASTM Standards, ASTM-E8 and ASTM-E517, West Conshohocken, PA Vol 03.01Google Scholar
- 19.Hashemi S, Moslemi Naeini H, Liaghat GH, Deilami Azodi H, Nemati Faghir A (2014) Prediction of forming limit curve using ductile fracture criteria in hydrofoming of aluminum tubes, J Appl Comput Mech Year 25, Vol. 1, (In Persian)Google Scholar
- 20.Moslemi Naeini H, Hashemi S, Liaghat GH, Mohammadi M, Deilami Azodi H (2014) Analytical prediction of limit strains and limit stresses in hydroforming of anisotropic aluminum tubes. Modares Mech Eng 14(2):133–140 (In Persian)Google Scholar
- 21.Dilmec M, Selcuk Halkaci H, Ozturk F, Livatyali H, Yigit O (2013) Effects of sheet thickness and anisotropy on forming limit curves of AA2024-T4. Int J Adv Manuf Technol 67(9–12):2689–2700CrossRefGoogle Scholar
- 22.Mamusi H, Masoumi A, Hashemi R, Mahdavinejad R (2013) A novel approach to the determination of forming limit diagrams for tailor-welded blanks. J Mater Eng Perform 22(11):3210–3221CrossRefGoogle Scholar
- 23.Ganjiani M, Assempour A (2007) An improved analytical approach for determination of forming limit diagrams considering the effects of yield functions. J Mater Process Technol 182:598–607CrossRefGoogle Scholar
- 24.Ghazanfari A, Assempour A (2012) Calibration of forming limit diagrams using a modified Marciniak–Kuczynski model and an empirical law. Mater Des 34:185–191CrossRefGoogle Scholar