ISSN 3041-1815. Physicochemical Mechanics of Materials. 2025.
Volume 61, Issue 2
Modeling of the mechanical characteristics of copper-based powder materials under plastic forming to control porosity
Keywords
porous body, modeling, shape change, porosity models, pressure treatment, cold plastic deformation, flow curve, stress.
Cite as
Sivak R. I., Polishchuk L. K., and Gao Xianan. Modeling of the mechanical characteristics of copper-based powder materials under plastic forming to control porosity. Physicochemical Mechanics of Materials. 2025. 61(2), 023-030.
https://doi.org/10.15407/pcmm2025.02.023
Abstract
A method for modeling the mechanical characteristics of porous bodies by uniform functions is proposed. It is based on the basic principles of the mechanics of plastic deformation of porous bodies and enables obtaining reliable porosity models for the studied material by refining theoretical functions with experimental data obtained during axisymmetric pressing of cylindrical samples without friction at the ends. Based on the theoretical studies conducted, such models for copper-based materials were obtained. Samples of copper powder with different initial porosity were studied. As a result of experimental data processing, final expressions for porosity models of the copper powder workpiece material were obtained. A method for calculating the accumulated deformation of the base material was also developed. Flow curve for copper-based powder materials were built.
References
- O. Zvirko, O. Tsyrulnyk, and L. Polishchuk, “Assessment of hydrogen assisted degradation of stacker conveyor boom steel,” Lecture Notes in Intelligent Transportation and Infrastructure, Part F1379, 200-207 (2023). https://doi.org/10.1007/978-3-031-25863-3_19
- L. Polishchuk, O. Bilyy, and Y. Kharchenko, “Life time assessment of clamp-forming machine boom durability,” Diagnostyka [in Ukrainian], 16, Is. 4, 71-76 (2015).
- A. Zinkovskii, K. Savchenko, Y. Onyshchenko, L. Polishchuk, A. Nazerke, B. Zhumazhanov, “Finite element model for analysis of characteristics of shrouded rotor blade vibrations Informatyka,” Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Srodowiska, 12, Is. 4, 11-16 (2022). https://doi.org/10.35784/iapgos.3264
- O. I. Zvirko, “In-Service degradation of structural steels (A survey)”, Mater. Sci., 57, No. 3, 319-330 (2021). https://doi.org/10.1007/s11003-021-00547-w
- R. Oberacker, “Powder compaction by dry pressing,” in: Ceramics Science and Technology. Vol. 3: Synthesis and Processing, R. Riedel and W. Chen (editors), Wiley-VCH Verlag GmbH & Co., Hoboken (2012), pp. 3-37. https://doi.org/10.1002/9783527631957.ch1
- K. Essa, P. Jamshidi, J. Zou, M. M. Attallah, H. Hassanin, “Porosity control in 316L stainless steel using cold and hot isostatic pressing,” Mater. & Design, 138, 21-29 (2018). https://doi.org/10.1016/j.matdes.2017.10.025
- I. O. Husarova, Y. V. Solodkyi, T. A. Manko, P. I. Loboda, “Ceramics based on reaction-bonded boron carbide for heat protection coatings of space aircraft,” Mater. Sci., 58, No. 6, 740-747 (2023). https://doi.org/10.1007/s11003-023-00724-z
- Y. O. Shishkina, G. A. Bagliuk, Y. S. Kyryliuk, S. F. Kyryliuk, O. V. Tolochyna, and V. M. Talash, “Structure, phase composition, mechanical and corrosion properties of aluminum-based composites,” Mater. Sci., 59, No. 6, 679-685 (2024). https://doi.org/10.1007/s11003-024-00828-0
- S. Y. Teslia, O. S. Kucher, I. I. Bogomol, P. I. Loboda, and I. V. Solodkyi, “Induction zone sintering of WC-8Co hard alloy,” Mater. Sci., 59, No. 5, 638-643 (2024). https://doi.org/10.1007/s11003-024-00821-7
- J. Zhou, A. T. Drużdżel, and J. Duszczyk, “The effect of extrusion parameters on the fretting wear resistance of Al-based composites produced via powder metallurgy,” J. of Mater. Sci., 34, 5089-5097 (1999). https://doi.org/10.1023/A:1004761116824
- O. P. Maidaniuk, A. L. Maximenko, D. Olumor, E. Torresani, M. B. Shtern, and E. Olevsky, “Modeling of powder bed deformation in the binder jetting technology,” Powder Metallurgy and Metal Ceramics, 61, Is. 1-2, 1-8 (2022). https://doi.org/10.1007/s11106-022-00289-7
- A. Mikhailov, Y. Shtefan, О. Mikhailov, and М. Shtern, “Method for the determination of rational constructional and technological parameters for the processes of powder materials forming,” Key Eng. Mater., 973, 53-60 (2024). https://doi.org/10.4028/p-N63Szt
- A. V. Kuzmov, O. V. Vdovychenko, O. G. Kirkova, and M. B. Shtern, “Nonlinear elastic behavior and effective parameters of materials with pores and flaw-like defects,” Mater. Sci., 60, No. 1, 27-32 (2024). https://doi.org/10.1007/s11003-024-00846-y
- R. Sivak, “Evaluation of metal plasticity and research of the mechanics of pressure treatment processes under complex loading,” Eastern-European J. of Enterprise Technol., 6/7, Is. 90, 34-41 (2017). https://doi.org/10.15587/1729-4061.2017.115040
- V. A. Ogorodnikov, I. A. Derevenko, and R. I. Sivak, “On the influence of curvature of the trajectories of deformation of a volume of the material by pressing on its plasticity under the conditions of complex loading,” Mater. Sci., 54, No. 3, 326-332 (2018). https://doi.org/10.1007/s11003-018-0188-x
- M. B. Shtern, O. V. Mikhailov, and A. O. Mikhailov, “Generalized continuum model of plasticity of powder and porous materials,” Powder Metallurgy and Metal Ceramics, 60, Is. 1-2, 20-34 (2021). https://doi.org/10.1007/s11106-021-00211-7
- V. V. Skorokhod and M. B. Shtern, “Rheological model of sintering and viscous flow of porous materials with 2D defects,” Powder Metallurgy and Metal Ceramics, 58, Is. 7-8, 399-405 (2019). https://doi.org/10.1007/s11106-019-00089-6
- E. Olevsky and V. Skorohod, “Deformation aspects of anisotropic-porous bodies sintering,” J. De Physique, 3, Is. 7, 739-742 (1993). https://doi.org/10.1051/jp4:19937117
- M. B. Shtern and E. V. Kartuzov, “Formation and propagation of shock waves in highly porous materials,” Powder Metallurgy and Metal Ceramics, 55, Is. 3-4, 134-140 (2016). https://doi.org/10.1007/s11106-016-9788-x
- V. Z. Midukov, “Effect of internal stresses on the plasticity criterion of porous metals,” Soviet Powder Metallurgy and Metal Ceramics, 30, Is. 1, 1-6 (1991). https://doi.org/10.1007/BF00793391
- M. Oyane, M. Omura, and T. Тaвata, “A Yield criterion of anisotropic porous material,” Transact. of the Japan Soc. of Mech. Eng., Part A., 56, Is. 530, 2059-2063 (1990). https://doi.org/10.1299/kikaia.56.2059
- R. G. Greene, “A plasticity theory for porous solids,” Int. J. of Mechanical Sci., 14, Is. 4, 215-224 (1972). https://doi.org/10.1016/0020-7403(72)90063-X
- H. A. Kuhn and C. L. Downey, “Deformation characteristics and plasticity theory,” Int. J. of Powder Metallurgy, 7, Is. 1, 15-25 (1971).
- A. V. Kuzmov, M. B. Shtern, and O. G. Kirkova, “The effect of additional shear strains induced by die rotation on the radial pressing of metal powder billets,” Powder Metallurgy and Metal Ceramics, 59, Is. 3-4, 127-133 (2020). https://doi.org/10.1007/s11106-020-00145-6
- G. L. Petrosyan, Plasticheskoe Deformirovanie Poroshkovyh Materialov [in Russian], Metallurgiya, Moscow (1988).
- K. A. Gogaev, V. S. Voropaev, Y. N. Podrezov, Yu. F. Lugovskoi, V. A. Nazarenko, A. Y. Koval, and Y. I. Yevych, “Mechanical and fatigue properties of powder titanium strips, obtained by asymmetric rolling,” Powder Metallurgy and Metal Ceramics, 56, Is. 1-2, 69-77 (2017). https://doi.org/10.1007/s11106-017-9871-y
- V. D. Rud, N. A. Khrystynets, and N. T. Rud, “Vibrational molding of filtering materials using stainless steel and saponite powders,” Powder Metallurgy and Metal Ceramics, 58, Is. 11-12, 623-630 (2020). https://doi.org/10.1007/s11106-020-00118-9
- I. Y. Prikhod’ko, M. A. Dedik, K. A. Gogaev, V. S. Voropaev, and A. I. Itsenko, “Finite-element optimization of the asymmetric rolling process for titanium powder,” Powder Metallurgy and Metal Ceramics, 55, Is. 1-2, 12-18 (2016). https://doi.org/10.1007/s11106-016-9774-3
- I. O. Sivak, “The evaluation of deformability of the porous bodies,” The Bulletin of the Polytechnic Institute of Jassy, XLII (XLVI), Is. 3(4), 607-611 (1996).
- I. O. Sivack, D. V. Sakharov, T. I. Babjuck, and R. I. Sivack, “The determination of porosity functions for sintering powder materials,” Optimum Technologies, Technologic Systems and Materials in the Machines Building Field, TSTM-4, 170-175 (1998).