Optimum Die Design in Drawing of Square Section Rod from Round Bar
الموضوعات : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
حشمت‌اله حقیقت
1
(استادیار، گروه مهندسی مکانیک ، دانشگاه رازی کرمانشاه.)
سید بابک الهویسی
2
(فارغ التحصیل کارشناسی ارشد مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه رازی کرمانشاه.)
الکلمات المفتاحية: drawing, Square section rod, Upper bound, Optimum die,
ملخص المقالة :
Drawing of square section rod from round bar can be done with two die shapes. In the first die shape, deformation starts from corners of the square and in second die shape, deformation starts from sides of square. This article has compared the drawing force for both die shapes and as a result optimum die shape was determined. Due to complexity of metal flow inside the die, analyzing of actual process was difficult and upper bound approach has applied based on equivalent axisymmetric curved die. In equivalent process, in each position on the die axis, perpendicular cross sections on both actual and the equivalent die have the same area. By determining the profile of the equivalent curved die, a velocity field inside the die was presented. Then, internal, shearing and frictional powers were calculated and relative mean draw stress was estimated by equating the summation of these powers with required external power. As a final result, the die shape which required less force was introduced as optimum one
[1] Wistreich, J.G., Investigation of the Mechanics of Wire Drawing, Proc. Inst. Mech. Engrs., (London), Vol. l69, 1955, pp. 654-665.
[2] Avitzur, B., Metal Forming Processes and Analysis, McGraw-Hill, New York, 1968.
[3] Juneja, B.L., Prakash, R., An analysis for drawing and extrusion of polygonal section, Int. J. Mach. Tool. Des. Res., Vol. 15, 1975, pp. 1-30.
[4] Basily, B.B., Sansome, D.H., Some theoretical considerations for the direct drawing of section rod from round bar, Int. J. Mech. Sci., Vol. 18, 1976, pp. 201–208.
[5] Boer, C.R., Webster, W.D., Direct upper-bound solution and finite element approach to round-to square drawing, J. Eng. Ind., Vol. 107, 1985, pp. 254-260.
[6] Gunasekera J.S., Hoshino S., Analysis of extrusion or drawing of polygonal sections through straightly converging dies, J. Eng. Ind. Trans, ASME, Vol. 104, 1982, pp. 38–45.
[7] Gordon, W.A., Van Tyne C.J., Moon Y.H., Axisymmetric extrusion through adaptable dies-Part 1: Flexible velocity fields and power terms, Int. J. Mech. Sci. ., Vol. 49, 2007, pp. 86–95.
[8] Gordon, W.A., Van Tyne C.J., Moon Y.H., Axisymmetric extrusion through adaptable dies. part 2. comparison of velocity fields, Int. J. Mech. Sci., Vol. 49, 2007, pp. 96–103.
[9] Gordon, W.A., Van Tyne C.J., Moon Y.H., Axisymmetric extrusion through adaptable dies-Part 3: Minimum pressure streamlined die shapes, Int. J. Mech. Sci , ., Vol. 49, 2007,pp. 104-115.
[10] S. Norasethasopon, Influence of process parameters on shape quality and area fraction in round-to-hexagonal composite wire drawing, Journal of materials processing technology, Vol. 203, 2008, pp. 137–146.
[11] Haghighat H., Allahveysi S.B., AkhavanA., Estimation of Drawing Force in Drawing of Twisted Square Section Rod from Round Bar, International Journal of Engineering & Applied Sciences,Vol. 3, 2011, pp.1-14.
[12] Prager, W., Hodge, P.G., Theory of perfectly plastic solids, John Wiley and Sons Inc. New York, 1951.
