A Numerical Approach on Reduction of Young’s Modulus During Deformation of Sheet Metals
Chetan Nikhare
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DOI: 10.4236/mnsms.2012.21001   PDF    HTML     4,082 Downloads   11,566 Views   Citations

Abstract

The paper investigates the elastic behavior of the metal after unloading. For this purpose the strip of metal with tensile gauge length was simulated with high and low strength material. Further the channel forming was modeled for combination of materials to predict the spring-back and compared the results. It is observed that the Young’s modulus (E-value) decreases with the increase in plastic strain. The strength of the material has no effect on the decrease in the E-value after unloading during tension test. However in channel forming the E-value after unloading depends on the starting E-value, spring-back angle and maximum strain achieved in the channel. The proposed mathematical equations to determine the E-value after unloading from the tension test and channel forming test gives very good prediction with each other. It is also found that the lowest spring-back occurred in the channel with the composite Hard-Soft material.

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C. Nikhare, "A Numerical Approach on Reduction of Young’s Modulus During Deformation of Sheet Metals," Modeling and Numerical Simulation of Material Science, Vol. 2 No. 1, 2012, pp. 1-13. doi: 10.4236/mnsms.2012.21001.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] R. Wagoner and M. Li, “Simulation of Springback: Through- Thickness Integration,” International Journal of Plasticity, Vol. 23, No. 3, 2007, pp. 345-360. doi:10.1016/j.ijplas.2006.04.005
[2] N. Narasimhan and M. Lovell, “Predicting Springback in Sheet Metal Forming: An Explicit to Implicit Sequential Solution Procedure,” Finite Elements in Analysis and Design, Vol. 33, No. 1, 1999, pp. 29-42. doi:10.1016/S0168-874X(99)00009-8
[3] H. S. Cheng, J. Cao and Z. Xia, “An Accelerated Springback Compensation Me-thod,” International Journal of Mechanical Sciences, Vol. 49, No. 3, 2007, pp. 267-279. doi:10.1016/j.ijmecsci.2006.09.008
[4] K. Li, W. Carden and R. Wagoner, “Simulation of Spring- back,” International Jour-nal of Mechanical Sciences, Vol. 44, No. 1, 2002, pp. 103-122. doi:10.1016/S0020-7403(01)00083-2
[5] J. Gau and G. Kin-zel, “A New Model for Springback Prediction in which the Bauschinger Effect Is Considered,” International Journal of Mechanical Sciences, Vol. 43, No. 8, 2001, pp. 1813-1832. doi:10.1016/S0020-7403(01)00012-1
[6] S. Lee and Y. Kim, “A Study on the Springback in the Sheet Metal Flange Draw-ing,” Journal of Materials Processing Technology, Vol. 187-188, 2007, pp. 89-93. doi:10.1016/j.jmatprotec.2006.11.079
[7] K. Mori, K. Akita and Y. Abe, “Springback Behaviour in Bending of Ul-tra-High-Strength Steel Sheets Using CNC Servo Press,” In-ternational Journal of Machine Tools and Manufacture, Vol. 47, No. 2, 2007, pp. 321-325. doi:10.1016/j.ijmachtools.2006.03.013
[8] T. Hilditch, J. Speer and D. Matlock, “Influence of Low-Strain Deformation Characteristics of High Strength Sheet Steel on Curl and Springback in Bend-Under-Ten- sion Tests,” Journal of Mate-rials Processing Technology, Vol. 182, No. 1-3, 2007, pp. 84-94. doi:10.1016/j.jmatprotec.2006.06.020
[9] M. Oliveira, J. L. Alves, B. M. Chaparro and L. F. Me- nezes, “Study on the In-fluence of Work-Hardening Modeling in Springback Prediction,” International Journal of Plasticity, Vol. 23, No. 3, 2007, pp. 516-543. doi:10.1016/j.ijplas.2006.07.003
[10] H. Haddadi, S. Bouvier, M. Banu, C. Maier and C. Teodosiu, “Towards an Accurate Description of the Anisotropic Behaviour of Sheet Metals under Large Plastic Deformations: Modelling, Numerical Analysis and Identification,” International Journal of Plasticity, Vol. 22, No. 12, 2006, pp. 2226-2271. doi:10.1016/j.ijplas.2006.03.010
[11] B. M. Chaparro, M. C. Oliveira, J. L. Alves and L. F. Me- nezes, “Work Hardening Models and the Numerical Si- mulation of the Deep Drawing Process,” Material Science Forum, Vol. 455-456, 2004, pp. 717-722. doi:10.4028/www.scientific.net/MSF.455-456.717
[12] S. Bouvier, J. L. Alves, M. C. Oliveira and L. F. Menezes, “Mod-elling of Anisotropic Work-Hardening Behaviour of Metallic Materials Subjected to Strain-Path Changes,” Computational Materials Science, Vol. 32, No. 3-4, 2005, pp. 301-315. doi:10.1016/j.commatsci.2004.09.038
[13] Z. Dongjuan, C. Zhenshan, R. Xueyu and L. Yuqiang, “Sheet Springback Pre-diction Based on Non-Linear Com- bined Hardening Rule and Barlat89’s Yielding Function,” Computational Materials Science, Vol. 38, No. 2, 2006, pp. 256-262. doi:10.1016/j.commatsci.2006.02.007
[14] J. Alves, M. Oli-veira and L. Menezes, “Drawbeads: To Be or Not To Be,” In: J. Cao, et al., Editors, Numi- sheet ’05 6th International Confe-rence and Workshop on Numerical Simulation of 3D Sheet Forming Processes: On the Cutting Edge of Technology, Part A, The American Institute of Physics 778, NUMISHEET 2005 Conference, 15-19 August 2005, Detroit, Michigan, pp. 655- 660.
[15] A. Andersson and S. Holmberg, “Simulation and Verification of Different Parameters Effect on Springback Re-sults,” NUMISHEET, Jeju Island, Korea, 21-25 October 2002, pp. 201-206.
[16] N. Yamamura, T. Kuwabara and A. Maki-nouchi, “Spring- back Simulations for Stretch-Bending and Drawbending Processes Using the Static Explicit FEM Code, with an Algorithm for Canceling Non-Equilibrated Forces,” NUMISHEET, Jeju Island, Korea, 21-25 October 2002, pp. 25-30.
[17] L. Bjorkhaug and T. Welo, “Local Calibration of Aluminum Profiles in Rotary Stretch Bending—Anisotropy Effects,” Materials Processes and Design: Modeling, Simulation and Applications, NUMIFORM, Columbus, OH, USA, 2004, pp. 749-754.
[18] H. Yao, S. D. Liu, C. Du and Y. Hu, “Techniques to Improve Springback Prediction Accuracy Using Dynamic Explicit FEA Codes,” SAE TRANSACTIONS, Vol. 111, 2002, pp. 100-106.
[19] V. Nguyen, Z. Chen and P. Thomson, “Prediction of Spring-Back in Anisotropic Sheet Metals,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 218, No. 6, 2004, pp. 651-661.
[20] W. Xu, C. H. Ma, C. H. Li and W. J. Feng, “Sensitive Factors in Springback Simulation for Sheet Metal Forming,” Journal of Materials Processing Technology, Vol. 151, No. 1-3, 2004, pp. 217-222. doi:10.1016/j.jmatprotec.2004.04.044
[21] R. Wagoner, L. Geng and K. Li, “Simulation of Springback with the Draw/Bend Test,” IPMM ’99: The Second International Conference on Intelligent Processing and Manufacturing of Materials, Honolulu, HI, USA, 10-15 July 1999, pp. 91-104.
[22] C. Hinsinger, V. Zwilling and O. Hudin, “Experimental and Nu-merical Approaches of Springback of High-Per- formance Steels Drawn With U-Shaped Tools and An Industrial Side Member Tool,” SAE TRANSACTIONS, Vol. 111, 2002, pp. 2054-2068.
[23] S. Chatti, “Effect of the Elasticity Formulation in Finite Strain on Springback Prediction,” Computers & Struc-tures, Vol. 88, No. 11-12, 2010, pp. 796-805. doi:10.1016/j.compstruc.2010.03.005
[24] A. Gandhi and H. Raval, “Analytical Modeling of Top Roller Position for Multiple Pass (3-Roller) Cylindrical Forming of Plates,” International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, 5-10 November 2006, pp. 107-116.
[25] A. Gandhi and H. Raval, “Analytical and Empirical Modeling of Top Roller Position for Three-Roller Cylindrical Bending of Plates and Its Experimental Verification,” Journal of Materials Processing Technology, Vol. 197, No. 1-3, 2008, pp. 268-278. doi:10.1016/j.jmatprotec.2007.06.033
[26] H. Yu, “Variation of Elastic Modulus during Plastic Deformation and Its Influence on Springback,” Materials & Design, Vol. 30, No. 3, 2009, pp. 846-850. doi:10.1016/j.matdes.2008.05.064
[27] F. Morestin and M. Boivin, “On the Necessity of Taking into Account the Variation in the Young Modulus with Plastic Strain in Elastic-Plastic Software,” Nuclear Engineering and Design, Vol. 162, No. 1, 1996, pp. 107-116. doi:10.1016/0029-5493(95)01123-4
[28] M. Yang, Y. Akiya-ma and T. Sasaki, “Evaluation of Change in Material Properties Due to Plastic Deformation,” Journal of Materials Processing Technology, Vol. 151, No. 1-3, 2004, pp. 232-236. doi:10.1016/j.jmatprotec.2004.04.114
[29] D. Fei and P. Hodgson, “Experimental and Numerical Studies of Springback in Air V-Bending Process for Cold Rolled TRIP Steels,” Nuc-lear Engineering and Design, Vol. 236, No. 18, 2006, pp. 1847-1851. doi:10.1016/j.nucengdes.2006.01.016
[30] F. Yoshida, T. Ue-mori and K. Fujiwara, “Elastic-Plastic Behavior of Steel Sheets under In-Plane Cyclic Tension-Compression at Large Strain,” International Journal of Plasticity, Vol. 18, 2002, pp. 633-659. doi:10.1016/S0749-6419(01)00049-3
[31] M. Phadke, “Quality Engineering Using Robust Design,” Prentice Hall, Englewood Cliffs, NJ, USA, 1989.
[32] R. Hibbeler, “Mechanics of Materials,” 7th Edition, Pear- son Education, Cranbury, NJ, USA, 2008.

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