﻿ Computing Stress-Strain State of a Workpiece During Drawing with Wall Thinning Through a Die with a Small Taper Angle | HERALD OF THE BAUMAN MOSCOW STATE STATE TECHNICAL UNIVERSITY
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# Computing Stress-Strain State of a Workpiece During Drawing with Wall Thinning Through a Die with a Small Taper Angle

 Authors: Vinnik P.M., Remshev E.Yu., Zaterukha E.V., Filin D.S. Published: 05.09.2019 Published in issue: #4(127)/2019 Category: Mechanical Engineering and Machine Science | Chapter: Technology and Equipment of Mechanical and Physical Processing Keywords: drawing with wall thinning, stress-strain state, deformation, die with a small taper angle, monotone process

The paper considers computing the stress-strain state of a workpiece during drawing with wall thinning through a die with a small taper angle. A manufacturing process for a sleeve usually includes several drawing operations, whereas recommendations for the final drawing operation are a low extent of deformation and using dies with a small taper angle of (2°--4°). We present a diagram for drawing with wall thinning, delineating all deformation stages recorded on the chart showing force as a function of tool path. We computed the stress-strain state and deformation in the workpiece wall during the final operation of drawing through a die with a small taper angle α ≤ 4°. We provide equilibrium equations in toroidal coordinates and compute stress-strain state parameters and extents of deformation for the axisymmetric problem statement. No longer assuming a plane strain state, we compute the stress-strain state and extent of deformation in the workpiece wall during drawing with wall thinning through a die with a small taper angle α = 2°--4°. We show that at the stage when intermediate product walls are formed, for a small taper angle it is reasonable to consider the process of drawing with wall thinning to be monotone

## References

[1] Ageev N.P., Zaterukha E.V. Uneven distribution of research degree of deformation and mechanical properties across the hollow parts, stamped drawing method with thinning. Metalloobrabotka, 2014, no. 3, pp. 36--42 (in Russ.).

[2] Vorontsov A.L. Teoriya i raschety protsessov obrabotki metallov davleniem. T. 2 [Theory and calculations of metal forming processes. Vol. 2]. Moscow, Bauman MSTU Publ., 2014

[3] Ageev N.P., Danilin G.A., Ogorodnikov V.P. Tekhnologiya proizvodstva patronov strelkovogo oruzhiya. Ch. II. Protsessy shtampovki [Production technology for small arms ammunition. Textbook. P. II. Stamping processes]. St. Petersburg, Balt. gos. tekh. un-t Publ., 2007.

[4] Novozhilov V.V. Teoriya uprugosti [Elasticity theory]. Leningrad, Sudpromgiz Publ., 1958.

[5] Smirnov--Alyaev G.A. Soprotivlenie materialov plasticheskomu deformirovaniyu [Resistance of materials to plastic deformation]. Leningrad, Mashinostroenie Publ., 1978.

[6] Vinnik P.M., Ivanov K.M., Danilin G.A., et al. Prediction of mechanical properties of the details produced by drawing with wall thinning. Metalloobrabotka, 2015, no. 4, pp. 31--36 (in Russ.).

[7] Vinnik P.M., Ivanov K.M., Danilin G.A., et al. Experimental and analytical evaluation of irregularity of mechanical characteristics of stamped parts. Kuznechno-shtampovochnoe proizvodstvo. Obrabotka materialov davleniem [Forging and Stamping Production. Material Working by Pressure], 2015, no. 11, pp. 27--32 (in Russ.).

[8] Vinnik P.M., Ivanov K.M. Combined loading processes in technological problems. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building], 2016, no. 6, pp. 62--72 (in Russ.). DOI: 10.18698/0536-1044-2016-6-62-72

[9] Danilin G.A., Ogorodnikov V.P., Zavolokin A.B. Osnovy proektirovaniya patronov k strelkovomu oruzhiyu [Basics of designing cartridges for small arms]. St. Petersburg, Balt. gos. tekh. un-t. Publ., 2017.

[10] Popov E.A., Kovalev V.G., Shubin I.N. Tekhnologiya i avtomatizatsiya listovoy shtampovki [Technology and automation of sheet punching]. Moscow, Bauman MSTU Publ., 2000.