T. Mayavan1, G. Senthilkumar1This email address is being protected from spambots. You need JavaScript enabled to view it., L. Karthikeyan1, N. Karthikeyan2
1Department of Mechanical Engineering, Panimalar Engineering College, Chennai, Tamilnadu, India.
2University of Technology and Applied Sciences, Muscat, Oman.
Received: January 30, 2023 Accepted: August 12, 2023 Publication Date: September 20, 2023
Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.
In this study, the appropriateness of the forming limit stress diagram and the forming limit diagram for predicting the formability of sheets of AISI 304 steel is compared. The Forming Limit Diagram was plotted using a numerical technique and the Nakazima test. Conversely, Forming limit stress diagram was constructed using the Marciniak - Kuczynski theoretical model based on the principal stresses, and a simulation of the Nakazima test was done using finite element analysis for the same input conditions as applied in the theoretical model. From the cup drawing test, it was identified that the maximum drawing height measured for the experimental cup was 24 mm and the predicted drawing height in finite element simulation for the same blank was nearly 22.38 mm with an error of 7%. Also, it is proved that more deviation was identified between the strain path predicted by finite element studies and the experiment failures of forming a limit diagram by the Nakazima test. Contrasted with forming limit stress diagram predict the crack initiating element accurately by identifying the stress path through finite element studies. The results of this study prove that the stress based forming limit diagram predicts the formability characteristics very well than the strain based forming limit diagram.
Keywords: Forming Limit Diagram, AISI 304 Steel, Formability, Nakazima Test and Finite Element Analysis, Forming Limit Stress Diagram.
[1] M. Elices and J. Llorca, (2002) “FRACTURE OF NATURAL POLYMERIC FIBRES" Fiber Fracture: 303.
[2] A. Pascu, E. M. Stanciu, I. Voiculescu, M. H. ¸Tierean, I. C. Roat˘a, and J. L. Ocaña, (2016) “Chemical and mechanical characterization of AISI 304 and AISI 1010 laser welding" Materials and Manufacturing Processes 31(3): 311–318. DOI: 10.1080/10426914.2015.1025970.
[3] W. Li, G. Zhao, X. Ma, and J. Gao, (2013) “Study on forming limit diagrams of AZ31B alloy sheet at different temperatures" Materials and manufacturing processes 28(3): 306–311. DOI: 10.1080/10426914.2012.689453.
[4] T. Mayavan and L. Karthikeyan, (2014) “Influence of Process Parameters on Limiting Drawing Ratio of IS513 CR3 Grade Steel Sheet During Warm Deep Drawing" Advanced Materials Research 984: 62–66. DOI: 10.4028/www.scientific.net/AMR.984-985.62.
[5] T. Mayavan and L. Karthikeyan, (2013) “Experimental and finite element studies on formability of low carbon steel sheets using deep drawing" International Journal of Engineering and Technology 5(1): 165–174.
[6] H. Kleemola and P. MT, (1977) “EFFECT OF PREDEFORMATION AND STRAIN PATH ON THE FORMING LIMITS OF STEEL, COPPER AND BRASS" SHEET METAL INDUSTR 54(6): 591–599.
[7] M. Butuc, J. Gracio, and A. B. Da Rocha, (2006) “An experimental and theoretical analysis on the application of stress-based forming limit criterion" International Journal of Mechanical Sciences 48(4): 414–429. DOI: 10.1016/j.ijmecsci.2005.11.007.
[8] S. Panich, V. Uthaisangsuk, J. Juntaratin, and S. Suranuntchai, (2011) “Determination of forming limit stress diagram for formability prediction of SPCE 270 steel sheet" Journal of Metals, Materials and Minerals 21(1):
[9] R. Arrieux, C. Bedrin, M. Boivin, et al. “Determination of an intrinsic forming limit stress diagram for isotropic metal sheets”. In: Proceedings of the 12th Biennial Congress of the IDDRG. 1982, 61–71.
[10] M. Garifullin, K. Mela, T. Renaux, D. Izabel, R. Holz, and C. Fauth, (2021) “Load-bearing capacity of coldformed sinusoidal steel sheets" Thin-Walled Structures 161: 107475. DOI: 10.1016/j.tws.2021.107475.
[11] Z. Marziniak and K. Kuczynski, (1967) “Limit strain in the process of stretch-forming sheet metals" International Journal of Mechanical Sciences 9(9): 609–620.
[12] Z. Yue, H. Badreddine, T. Dang, K. Saanouni, and A. Tekkaya, (2015) “Formability prediction of AL7020 with experimental and numerical failure criteria" Journal of Materials Processing Technology 218: 80–88. DOI: 10.1016/j.jmatprotec.2014.11.034.
[13] S. Panich, F. Barlat, V. Uthaisangsuk, S. Suranuntchai, and S. Jirathearanat, (2013) “Experimental and theoretical formability analysis using strain and stress based forming limit diagram for advanced high strength steels" Materials & Design 51: 756–766. DOI: 10.1016/j.matdes.2013.04.080.
[14] T. Mayavan, L. Karthikeyan, and V. Senthilkumar, (2016) “Experimental and numerical studies on isothermal and non-isothermal deep drawing of IS 513 CR3 steel sheets" Journal of Materials Engineering and Performance 25: 4837–4847. DOI: 10.1007/s11665-016-2325-8.
[15] R. Hashemi, A. Assempour, and E. M. K. Abad, (2009) “Implementation of the forming limit stress diagram to obtain suitable load path in tube hydroforming considering M–K model" Materials & Design 30(9): 3545–3553. DOI: 10.1016/j.matdes.2009.03.002.
[16] P. Wu, A. Graf, S. MacEwen, D. Lloyd, M. Jain, and K. Neale, (2005) “On forming limit stress diagram analysis" International Journal of Solids and Structures 42(8): 2225–2241. DOI: 10.1016/j.ijsolstr.2004.09.010.
[17] F. Gang, Q.-j. LIU, L.-p. LEI, and Z. Pan, (2012) “Comparative analysis between stress-and strain-based forming limit diagrams for aluminum alloy sheet 1060" Transactions of Nonferrous Metals Society of China 22: s343–s349. DOI: 10.1016/S1003-6326(12)61729-4.
[18] R. Hashemi and K. Abrinia, (2014) “Analysis of the extended stress-based forming limit curve considering the effects of strain path and through-thickness normal stress" Materials & Design 54: 670–677. DOI: 10.1016/j.matdes.2013.08.023.
[19] G. S. Kumar and R. Ramakrishnan, (2020) “Influence of mechanical characteristics of friction welded ferrite stainless steel joint through novel mathematical model using buckinghamís pi theorem" International Journal of Mechanical and Production Engineering Research and Development 10(1): 185–198.
[20] G. Senthilkumar, R. Ramakrishnan, et al., (2021) “A comparative study of predicting burn off length in continuous drive solid state friction welding for ASTM A516 steel by regression analysis, fuzzy logic analysis and finite element analysis" Journal of Applied Science and Engineering 24(3): 359–366. DOI: 10.6180/jase.202106_ 24(3).0011.
[21] K. Bandyopadhyay, S. Basak, S. Panda, and P. Saha, (2015) “Use of stress based forming limit diagram to predict formability in two-stage forming of tailor welded blanks" Materials & Design 67: 558–570. DOI: 10.1016/j.matdes.2014.10.089.
[22] O. Rodriguez-Alabanda and G. Guerrero-Vaca, (2022) “Influence of single point incremental forming on the quality and surface properties of parts manufactured with aluminized steel sheets pre-coated with PTFE" CIRP Journal of Manufacturing Science and Technology 38: 215–229. DOI: 10.1016/j.cirpj.2022.04.014.
[23] M. Harhash and H. Palkowski, (2021) “Incremental sheet forming of steel/polymer/steel sandwich composites" journal of materials research and technology 13: 417–430. DOI: 10.1016/j.jmrt.2021.04.088.
[24] P. E. Romero, O. Rodriguez-Alabanda, E. Molero, and G. Guerrero-Vaca, (2021) “Use of the support vector machine (SVM) algorithm to predict geometrical accuracy in the manufacture of molds via single point incremental forming (SPIF) using aluminized steel sheets" journal of materials research and technology 15: 1562–1571. DOI: 10.1016/j.jmrt.2021.08.155.
[25] V. Uthaisangsuk, U. Prahl, and W. Bleck, (2007) “Stress based failure criterion for formability characterisation of metastable steels" Computational Materials Science 39(1): 43–48. DOI: 10.1016/j.commatsci.2006.01.031.
[26] H. J. Bong, F. Barlat, D. C. Ahn, H.-Y. Kim, and M.-G. Lee, (2013) “Formability of austenitic and ferritic stainless steels at warm forming temperature" International Journal of Mechanical Sciences 75: 94–109. DOI: 10.1016/j.ijmecsci.2013.05.017.
[27] N. Kotkunde, A. D. Deole, A. K. Gupta, and S. K. Singh, (2014) “Experimental and numerical investigation of anisotropic yield criteria for warm deep drawing of Ti– 6Al–4V alloy" Materials & Design 63: 336–344. DOI: 10.1016/j.matdes.2014.06.017.
[28] H. Zhang, G. Huang, J. Fan, H. J. Roven, F. Pan, and B. Xu, (2014) “Deep drawability and deformation behavior of AZ31 magnesium alloy sheets at 473 K" Materials Science and Engineering: A 608: 234–241. DOI: 10.1016/j.msea.2014.04.081.
[29] M. Torkar, F. Tehovnik, and B. Podgornik, (2014) “Failure analysis at deep drawing of low carbon steels" Engineering Failure Analysis 40: 1–7. DOI: 10.1016/j.engfailanal.2014.02.003.
We use cookies on this website to personalize content to improve your user experience and analyze our traffic. By using this site you agree to its use of cookies.