Prediction of forming limit curves (FLD, MSFLD and FLSD) and necking time for SS304L sheet using finite element method and ductile fracture criteria

Kolasangiani, Kamal; Shariati, Mahmoud; Farhangdoost, Khalil

doi:10.22061/jcarme.2015.270

Document Type : Research Paper

Authors

Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

https://doi.org/10.22061/jcarme.2015.270

Abstract

Forming limit curves are used as a parameter in finite element analysis to control the material's level of formability. In this research, forming limit diagram (FLD) of SS304L sheet was obtained by ABAQUSfinite element software. In practice, the experimental determination of a forming limit curve is a very time-consuming procedure which requires special and expensive equipment. Forming limit diagram (FLD) is derived by the simulation of Erichsen test (out-of-plane stretching test) using hemispherical punch. There are few studies on the prediction of necking time, which is obtained by the application of Pepelnjak algorithm and ductile fracture criterion. In order for the validation, the numerical result of forming limit diagram (FLD) was compared with the experimental and analytical results and a good correlation was observed. Forming limit stress diagram (FLSD) and MSFLD were determined by plotting the principal in-plane stress and FLD corresponding to the onset of necking localization, respectively. Effect of the thickness of the sheet on forming limit curves was investigated and the results showed that increased thickness of the sheet led to raised level of the FLD and MSFLD; but, FLSD did not change considerably.

Keywords

20.1001.1.22287922.2015.4.2.2.1

Main Subjects

Fracture Mechanics

References

[1] S. P. Keeler, and W. A. Backhofen “Plastic instability and fracture in sheet stretched over rigid punches”, ASM Transactions Quarterly. Vol. 56, No. 11, pp. 25-48, (1964).

[2] P. D. Wu, A. Graf, S. R. MacEwen, D.J. Lloyd, M. Jain, and K. W. Neale “On forming limit stress diagram analysis”, Int. J. of Solids and Structures. Vol. 42, No. 8, pp. 2225-2241, (2005).

[3] T. B. Stoughton “A general forming limit criterion for sheet metal forming”, J. Mech. Sci. Vol. 42, No. 1, pp. 1-27, (2000).

[4] T. B. Stoughton “Stress-based forming limits in sheet-metal forming”, ASME J. Eng. Mater. Technol. Vol. 123, No. 4, pp. 417-422, (2001).

[5] T. B. Stoughton, and X. Zhu “Review of theoretical models of the strain-based FLD and their relevance to the stress-based FLD”, Int. J. Plast. Vol. 20, No. 8-9, pp. 1463-1486, (2004).

[6] K. Yoshida, T. Kuwabara, K. Narihara, and S. Takahashi “Experimental verification of the path independence of forming limit stresses”, Int. J. Form. Processes. Vol. 8, No. 1, pp. 283-298, (2005).

[7] T. Kuwabara, K. Yoshida, K. Narihara, and S. Takahashi “Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure”, Int. J. Plast. Vol. 21, No. 1, pp. 101-117, (2005).

[8] S. Ahmadi, A.R. Eivani, and A. Akbarzadeh “Experimental and analytical studies on the prediction of forming limit diagrams”, Comput. Mater. Sci. Vol. 44, No. 4, pp. 1252-1257, (2009).

[9] M. Ganjiani, and A. Assempour “An improved analytical approach for determination of forming limit diagrams considering the effects of yield functions”, J. Mater. Process. Technol. Vol. 182, No. 1-3, pp. 598-607, (2007).

[10] A. Assempour, R. Hashemi, K. Abrinia, M. Ganjiani, and E. Masoumi “A methodology for prediction of forming limit stress diagrams considering the strain path effect”, Comput. Mater. Sci. Vol. 45, No. 2, pp. 195-204, (2009).

[11] B.M. Dariani, G. H., Liaghat, and M. Gerdooei “Experimental investigation of sheet metal formability under various strain rates”, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. Vol. 223, No. 6, pp. 703-712, (2009).

[12] A. Assempour, H. K. Nejadkhaki, and R. Hashemi “Forming limit diagrams with the existence of through-thickness normal stress”, Comput. Mater. Sci. Vol. 48, No. 3, pp. 504-508, (2010).

[13] H. Mamusi, A. Masoumi, R. Hashemi, and R. Mahdavinejad “A novel approach to the determination of forming limit diagrams for tailor-welded blanks”, J. Mater. Eng. Perform. Vol. 22, No. 11, pp. 3210-3221, (2013).

[14] R. Hashemi, and K. Abrinia “Analysis of the extended stress-based forming limit curve considering the effects of strain path and through-thickness normal stress”, Mater. Des. Vol. 54, No. 1, pp. 670-677, (2014).

[15] S. Panich, F. Barlat, V. Uthaisangsuk, S. Suranuntchai, and S. Jirathearanat “Experimental and theoretical formability analysis usingstrain and stress based forming limit diagram for advanced high strength steels”, Mater Des. Vol. 51, No. 1, pp. 756-66, (2013).

[16] T. Pepelnjak, A. Petek, and K. Kuzman “Analysis of the Forming Limit Diagram in Digital Environment”, Adv. Mater. Research. Vol. 6-8, No. 1, pp. 697-704, (1972).

[17] F. Ozturk, and D. Lee “Analysis of forming limits using ductile fracture criteria”, J. of Mater. Process. Tech. Vol. 147, No. 3, pp. 397–404, (2004).

[18] H. Takuda, K. Mori, N. Takakura, and K. Yamaguchi “Finite element analysis of limit strains in biaxial stretching of sheet metals allowing for ductile fracture”, Int. J. Mech. Sci. Vol. 42, No. 4, pp. 785–798, (2000).

[19] M. G. Cockroft, and D. J. Latham “Ductility and the Workability of Metals”, J.Inst. Met.Vol. 96, No. 2, pp.33-39, (1968).

[20] P. Brozzo, B. Deluca, and R. Rendina “A New Method for the Prediction of Formability in Metal Sheets”, In: Proceedings of the 12th Biennial Congress of the IDDRG, on Sheet Metal Forming and Formability. (1972).

[21] S. E. Clift, P. Hartley, C. E. N. Sturgess, and G. W. Rowe “Fracture Prediction in Plastic Deformation Processes”, Int. J. Mech. Sci. Vol. 32, No. 1, pp. 1-17, (1990).

[22] S. Kalpakjian, and S. R. Schmid “Sheet Metal Forming Process”, Prentice-Hall, 4^th Edition. (2000).

[23] ASTM A370-05 “Standard test methods and definitions for mechanical testing of steel products”.

[24] S. A. Jenabali jahromi, A. Nazarboland, E. Mansouri, S. Abbasi “Investigation of formability of low carbon steel sheets by forming limit diagrams”, Iranian Journal of Science & Technology, Transaction B, Engineering, Vol. 30, No. B3, pp. 377-385, (2006).

[25] R. Hashemi, A., Ghazanfari, K., Abrinia, K., and A. Assempour “Forming limit diagrams of ground St14 steel sheets with different thicknesses”, SAE International Journal of Materials & Manufacturing, Vol. 5, No. 1, pp. 60-64, (2012).

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Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Prediction of forming limit curves (FLD, MSFLD and FLSD) and necking time for SS304L sheet using finite element method and ductile fracture criteria

References

References

Send comment about this article

Volume 4, Issue 2 - Serial Number 2
June 2015
Pages 121-132

Prediction of forming limit curves (FLD, MSFLD and FLSD) and necking time for SS304L sheet using finite element method and ductile fracture criteria

References

References

Send comment about this article

Volume 4, Issue 2 - Serial Number 2June 2015Pages 121-132

Volume 4, Issue 2 - Serial Number 2
June 2015
Pages 121-132