Analysis of deep drawing process to predict the forming severity considering inverse finite element and extended strain-based forming limit diagram

Bostan Shirin, Mehdi; Hashemi, Ramin; Assempour, Ahmad

doi:10.22061/jcarme.2018.1750.1152

Document Type : Research Paper

Authors

¹ Assistant professor / Amir Kabir University of Technology

² Iran University of Science and Technology

³ Sharif University of Technology

https://doi.org/10.22061/jcarme.2018.1750.1152

Abstract

An enhanced unfolding Inverse Finite Element Method (IFEM) has been used together with an extended strain-based forming limit diagram (EFLD) to develop a fast and reliable approach to predict the feasibility of the deep drawing process of a part and determining where the failure or defects can occur. In the developed unfolding IFEM, the meshed part is properly fold out on the flat sheet and treated as a 2D problem to reduce the computation time. The large deformation relations, nonlinear material behavior and friction conditions in the blank holder zone have also been considered to improve the accuracy and capability of the proposed IFEM. The extended strain-based forming limit diagram based on the Marciniak and Kuczynski (M-K) model has been computed and used to predict the onset of necking during sheet processing. The EFLD is built based on equivalent plastic strains and material flow direction at the end of forming. This new forming limit diagram is much less strain path dependent than the conventional forming limit diagram. Furthermore, the use and interpretation of this new diagram are easier than the stress-based forming limit diagram. Finally, two applied examples have been presented to demonstrate the capability of the proposed approach.

Graphical Abstract

Keywords

20.1001.1.22287922.2018.8.1.4.5

Main Subjects

Forming

References

[1] Y. Liu, X. Peng, Y. Qin, “FE simulation for concurrent design and manufacture of automotive sheet-metal parts”, Journal of Materials Processing Technology, Vol. 150, No. (1-2), pp. 145-150, (2004).

[2] A. R. Joshi, K. D. Kothari, R. L. Jhala, “Effects Of Different Parameters On Deep Drawing Process: Review”, International Journal of Engineering Research & Technology, Vol. 2, No. 3, pp. 1-5, (2013).

[3] X. Shi, J. Chen, Y. et al Peng, “A new approach of die shape optimization for sheet metal forming processes”, Journal of Materials Processing Technology, Vol. 152, No. 1, pp. 35-42, (2004).

[4] J. Lan, X. Dong, Z. Li, “Inverse finite element approach and its application in sheet metal forming”, Journal of Materials Processing Technology, Vol. 170, No. 3, pp. 624-631, (2005).

[5] S. A. Majlessi, D. Lee, “Deep drawing of square-shaped, sheet metal parts Part1”, FEM, Transaction of ASME, Vol. 115,102-109, (1993).

[6] S. A. Majlessi, D. Lee, “Further development of sheet metal forming analysis method” Transaction of the ASME, Vol. 109, pp. 330-337, (1987).

[7] S. Levy, C. F. Shinh, J. P. D., et al., Wilkinson, “Analysis of sheet metal forming to axisymmetric shapes. In”, Formability Topics-Metallic Materials ASTM (eds B A Niemeier, A K Schmeider, J R Newby), Toronto, Canada, pp. 238, (1978).

[8] J. L. Batoz, Y. Guo, F. Mercier, “The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts” Eng. Comp. Vol. 15, pp. 864-892, (1998).

[9] Y. Q. Guo, J. L. Batoz, “Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach”, Computers and Structures, Vol. 78, No. (1-3) pp. 133-48, (2000).

[10] S. D. Liu, M. A. Karima, “One step finite element approach for production design of sheet metal stamping. In”, NUMIFORM 92 (eds J. L. Chenot, R. D. Wood, O. C. Zienkiewicz), Valbonne, France. Rotterdam: A.A. Balkema, pp. 497-502, (1992).

[11] R. Azizi, A. Assempour, “Application of linear inverse finite element method in prediction of the optimum blank in sheet metal forming” Materials and Design, Vol. 29, No. 3, pp. 1965-72, (2008).

[12] F. M. Kankarani, M. Bostan shirin, A. Assempour, “Development of an inverse finite element method with an initial guess of linear unfolding”, Finite Element in Analysis and Design, Vol. 79, pp. 1-8, (2014).

[13] M. Einolghozati, M. Bostan Shirin, A. Assempour, “Application of Inverse Finite Element Method in tube hydro forming modeling”, Applied Mathematical Modelling, Vol. 37, No. 8, pp. 5913-5926, (2013).

[14] R. Hashemi, K. Abrinia, “Analysis of the extended stress-based forming limit curve considering the effects of strain path and through-thickness normal stress”, Materials and Design, Vol. 54, pp. 670-677, (2014).

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

[16] R. Hashemi, K. Abrinia, G. Faraji, “A methodology for determination of extended strain-based forming limit curve considering the effects of strain path and normal stress. Proceedings of the Institution of Mechanical Engineers, Part C”, Journal of Mechanical Engineering Science, Vol. 229, No. 9, pp. 1537-1547, (2015).

[17] M. Nurcheshmeh, D. E. Green, “On the use of effective limit strains to evaluate the forming severity of sheet metal parts after nonlinear loading”, International Journal of Material Forming, Vol. 7, pp. 1-18, (2014).

[18] N. Boudeau, J. C. Gelin, “Necking in sheet metal forming Influence of macroscopic and microscopic properties of materials”, International Journal of Mechanical Sciences, Vol. 42, No. 11, pp. 2209-2232, (2014).

[19] N. Boudeau, J. C. Gelin, “Post-processing of finite element results and prediction of the localized necking in sheet metal forming”, Journal of Materials Processing Technology, Vol. 60, No. (1-4), pp. 325-330, (1996).

[20] M. Bostan shirin, A. Assempour, “Some improvements on the unfolding inverse finite element method for simulation of deep drawing process”, The International Journal of Advanced Manufacturing Technology, Vol. 72, No. 1, pp. 447-456, (2014).

[21] A. Khoei, Computational Plasticity in Powder Forming Processes, 1^st Edition, Elsevier, (2005).

[22] R. A. Hill, “Theory of the yielding and plastic flow of anisotropic metals”, Proc. R SocLond A., Vol. 193, pp. 281-297, (1948).

[23] A. Assempoor, M. Karima, “Interaction of Part Geometry and Material Properties with Forming Severity and Tooling Design for Box-Shaped Stampings, SAE. International Congress Detroit, Michigan, Feb. pp. 105-113, (1992).

[24] A. Assempoor, “Simulation of forming severity and blank development in general box-shaped parts”, International conference on engineering applications of mechanics, Tehran, Iran, June, pp. 531-538, (1992).

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

Analysis of deep drawing process to predict the forming severity considering inverse finite element and extended strain-based forming limit diagram

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Volume 8, Issue 1 - Serial Number 15
September 2018
Pages 39-48

Analysis of deep drawing process to predict the forming severity considering inverse finite element and extended strain-based forming limit diagram

References

References

Send comment about this article

Volume 8, Issue 1 - Serial Number 15September 2018Pages 39-48

Volume 8, Issue 1 - Serial Number 15
September 2018
Pages 39-48