An Upper Bound Solution for Axisymmetric Extrusion and Drawing Considering a Generalized Yield Criterion
Source abstract
Abstract
The yield criterion of many metallic materials differs from the von Mises yield criterion. However, the available upper bound solutions are almost all restricted to this criterion. The objective of the present paper was to derive an upper bound solution based on a generalized yield criterion for evaluating the extrusion and drawing force, assuming a conical die. The solution method differs from the conventional method used in conjunction with the von Mises yield criterion. The development of this method is necessary, since the work function is not readily expressed as an explicit function of strain rate invariants if the generalized yield criterion is adopted. The solution is illustrated using numerical examples, which show the effect of the yield criterion on the limit load.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Ishlinsky Institute for Problems in Mechanics RAS, 101-1 Prospect Vernadskogo, Moscow 119526, Russia
School of Mechanical Engineering and Automation, Beihang University, No. 37 Xueyuan Road, Beijing 100191, China
Department of Civil Engineering, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow 117198, Russia
General Education Courses Department, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow 117198, Russia
Funding
Foreign Expert Project from the Ministry of Science and Technology of China
References (26)
Show source-provided references
1. New Horizons in the Mechanics of Solids10.1016/0022-5096(56)90009-6 ↗
2. Analysis of Wire Drawing and Extrusion Through Conical Dies of Small Cone Angle10.1115/1.3667601 ↗
3. Analysis of Wire Drawing and Extrusion Through Conical Dies of Large Cone Angle10.1115/1.3670543 ↗
4. A Study on Radial Flow Field for Extrusion through Conical Dies10.1016/0020-7403(75)90006-5 ↗
5. On the Dead-Zone Formation in Plastic Axially-Symmetric Converging Flow10.1016/0022-5096(71)90034-2 ↗
6. On the Dead-Zone Formation and Limit Analysis in Axially Symmetric Extrusion10.1016/S0020-7403(00)00016-3 ↗
7. Singular Plastic Flow Fields near Surfaces of Maximum Friction Stress10.1016/S0020-7462(99)00075-X ↗
8. A Theory on the Mechanics of Axisymmetric Extrusion through Conical Dies10.1243/JMES_JOUR_1968_010_059_02 ↗
9. The Use of Generalised Deformation Boundaries for the Analysis of Axisymmetric Extrusion through Curved Dies10.1016/0020-7403(85)90047-5 ↗
10. A New Formulation of Generalized Velocity Field for Axisymmetric Forward Extrusion Through Arbitrarily Curved Dies10.1115/1.3187107 ↗
11. Extrusion Through Spherical Dies—An Upper Bound Analysis10.1115/1.1419198 ↗
12. Optimized Upper Bound Analysis of Axisymmetric Extrusion Using Spherical Velocity Field10.1115/1.2112947 ↗
13. Upper Bound Analysis of Wire Drawing through a Twin Parabolic Die10.1007/s11012-016-0363-9 ↗
14. A Generalized Isotropic Yield Criterion10.1115/1.3422732 ↗
15. Generalized Isotropic Yield Criterion for Incompressible Materials10.1007/BF01176540 ↗
16. Analysis of temperature and speed effects on the drawing stress for improving the wire drawing process10.1016/j.matdes.2011.04.010 ↗
17. The optimal die semi-angle concept in wire drawing, examined using automatic optimization techniques10.1007/s12289-012-1092-9 ↗
18. On kinematics-of stock deformation process during drawing10.1016/j.proeng.2017.10.549 ↗
19. The Wire Drawing Process Simulation and the Optimization of Geometry Dies10.1016/j.proeng.2017.02.369 ↗
20. Martinez, G.A.S., Santos, E.F.D., Kabayama, L.K., Guidi, E.S., and Silva, F.D.A. (2019). Influences of Different Die Bearing Geometries on the Wire-Drawing Process. Metals, 9.10.3390/met9101089 ↗
21. Martinez, G.A.S., Qian, W.-L., Kabayama, L.K., and Prisco, U. (2020). Effect of Process Parameters in Copper-Wire Drawing. Metals, 10.10.3390/met10010105 ↗
22. Strzępek, P., Mamala, A., Zasadzińska, M., Kiesiewicz, G., and Knych, T.A. (2021). Shape analysis of the elastic deformation region throughout the axi-symmetric wire drawing process of ETP grade copper. Materials, 14.10.3390/ma14164713 ↗
23. Extensive analysis of the ETP grade copper wire drawing force parameters in correlation with the length of the elastic deformation region
24. Prager, W., and Hodge, P.G. (1951). Theory of Perfectly Plastic Solids, J. Wiley & Sons, Inc.
25. Alexandrov, S., Hwang, Y.-M., and Tsui, H.S.R. (2022). Determining the Drawing Force in a Wire Drawing Process Considering an Arbitrary Hardening Law. Processes, 10.10.3390/pr10071336 ↗
26. Modeling Axisymmetric Flow through a Converging Channel with an Arbitrary Yield Condition10.1007/BF01179010 ↗