On the optimum die angle in rod drawing process considering strain-hardening effect of material

Document Type: Research Paper

Authors

1 Department of mechanical engineering, Razi University

2 Razi University

Abstract

In this paper, rod drawing process of strain-hardening materials is investigated by analytical, numerical and experimental methods. The classic upper bound solution, based on the assumption of perfect plasticity, has been extended to consider the work-hardening of the material during the drawing process. For a given process conditions and mechanical properties of the rod material, the power terms and the required drawing force are determined and optimized with respect to the die angle. The results afforded by this solution agree with data from finite element simulation, using the finite element code DEFORM 2D, and some experiments performed by the authors. It is shown that the drawing force and the optimum die angle are affected primarily by the work-hardening exponent. The amount of drawing force increases as work-hardening of material considers in the analytical solution and by increasing the work-hardening exponent, the drawing force and the optimum die angle are decreased. It is also shown that by increasing the work-hardening exponent of the rod material, the maximum possible reduction in area is increased.

Keywords


[1] Kalpakjian, S., and Schmid, S.R., “Manufacturing Engineering and Technology”, Pearson Pearson India, New Delhi, (2018).

 

[2] Wistreich, J.G., “Investigation of the Mechanics of Wire Drawing”, Proceedings of the Institution of Mechanical Engineers, Vol. 169, pp. 654-678, (1955).

 

[3] Avitzur, B., “Analysis of Wire Drawing and Extrusion through Conical Dies of Small Cone Angle”, Journal of Engineering for Industry, Vol. 85, pp. 89–96, (1963).

 

[4] Avitzur, B., “Analysis of Wire Drawing and Extrusion through Conical Dies of Large Cone Angle”, Journal of Engineering for Industry, Vol. 86, pp. 305–316, (1964).

 

[5] Avitzur, B., “Flow Characteristics through Conical Converging Dies”, Journal of Engineering for Industry, Vol. 88, pp. 410–420, (1964).

 

[6] Critrescru, N., “On the Optimum Die Angle in Fast Wire Drawing”, Journal of Mechanical Working Technology, Vol. 3, pp. 275–287, (1980).

 

[7] Panteghini, A., and Genna, F., “An Engineering Analytical Approach to the Design of Cold Wire Drawing Processes for Strain-hardening Materials”, International Journal of Material Forming, Vol. 3, pp. 279–289, (2010).

 

[8] Chevalier, L., “Prediction of Defects in Metal Forming: Application to Wire Drawing”, Journal of Materials Processing Technology, Vol. 32, pp. 145–153, (1992).

 

 [9] Zhao, D. W., Zhao, H. J., and Wang, G. D., “Curvilinear Integral of the Velocity Field of Drawing and Extrusion through Elliptic Die Profile”, Transactions of Nonferrous Metals Society of China, Vol. 5, pp. 79–83, (1995).

 

[10] Zhao, D.W., Wang, G.D., and Zhong, J., “Surface Integral Analysis of Axis-symmetric Drawing through Hyperbolic Die Profile”, Applied Sciences, Vol. 14, pp. 224–227 (in Chinese’s), (1996).

 

[11] Rubio, E.M., Camacho, A.M., Sevilla, L., and Sebastian M.A., “Calculation of the Forward Tension in Drawing Processes”, Journal of Materials Processing Technology, Vols. 162–163, pp. 551–557, (2005).

 [12] Luis, C.J., Leon, J., and Luri, R., “Comparison between Finite Element Method and Analytical Methods for Studying Wire Drawing Processes”, Journal of Materials Processing Technology,  Vols. 164–165, pp. 1218-1225, (2005).

 

[13] Chen, D.C., and Huang, J.Y., “Design of Brass Alloy Drawing Process using Taguchi Method”, Materials Science and Engineering, Vol. 464, pp. 135–140, (2007).

 

[14] Gonzalez, H.A., Calvet, J.V., and Bubnovich, V.I., “A New Analytical Solution for Prediction of Drawing Force in the Drawing Process”, Journal of Materials Processing Technology, Vol. 198, pp. 93–98, (2008).

 

[15] Rubio, E.M., Marin, M., Domoingo, R., and Sebastian, M.A., “Analysis of Plate Drawing Processes by the Upper Bound Method using Theoretical Work-hardening Materials”, International Journal of Advanced Manufacturing Technology, Vol. 40, pp. 261–269, (2009).

 

[16] Rubio, E.M., Sebastian, M.A., and Sanz, A., “Mechanical Solutions for Drawing Processes under Plane Strain Conditions by the Upper Bound Method”, Journal of Materials Processing Technology,  Vols. 143–144, pp. 539–545, (2003).

 

[17] Panteghini, A., “An Analytical Solution for the Estimation of the Drawing Force in three Dimensional Plate Drawing Processes”, International Journal of Mechanical Sciences, Vol. 84, pp. 147–157, (2014).

 

[18] Zhang, S.H, Chen, X.D., Zhou, J., and Zhao, D.W., “Upper Bound Analysis of Wire Drawing through a Twin Parabolic Die”, Meccanica, Vol. 51, pp. 2099–2110, (2016).

 

[19] Avitzur, B., “Metal Forming: Processes and Analysis” New York, McGraw-Hill, (1968).