Л. А. Барков, Ю. И. Каменщиков, М. Н. Самодурова, Ю. С. Латфулина


Mathematical simulation of plastic deformations in rolling of porous materials involves a consequent combination of the general energy relationship in plasticity and the variation inequality expressing the principle of minimum of entire deformation energy. A real deformation state in a plastic zone beneath rolls and corresponding kinematic and dynamic conditions on the contact surface are considered as a limited one for the consequent approximate deformation states and found out by the method of approximated approach. Any realization of this kind of method on personal computers requires a rational construction of a kinematic admissible velocity field in the spatial domain on plastic flow. Using the ordinary propositions and assumptions it became possible to construct one of the simple spatial kinematic admissible velocity field in the plastic zone beneath rolls. On the base of a big amount of experimental data a new hypothesis and analytic function describing the density distribution along the plastic zone during the rolling process have been proposed. On the base of the consequent approach in which the general energetic relationship and the variation inequality are interrelated it has been able to find out the geometric, kinematic and dynamic characteristics of plastic deformation states in rolling of porous materials.

Ключевые слова

simulation; deformation; rolling; velocity field; plastic zone

Полный текст:

PDF PDF (English)


VydrinV.N., BarkovL.A., KamenshchikovYu.I. [Energy method for calculating deformations and forces when rolling in passes. Report 1]. Izvestiya Vuzov. Chernaya Metallurgiya, 1979, no. 5, pp. 53–55; [Report 2]. Izvestiya Vuzov. Chernaya Metallurgiya, 1979, no. 7, pp. 65–68.(in Russ.)

Brauer H. and Bungeroth R.K. Developments – rolling mill blocks in modern Kocks mills. Iron and Steel Engineer, 1978, vol. 55, no. 11, pp. 55–67.

Vydrin V.N., Barkov L.A., Pastuchov V.V. New bar rolling processes and mills with four-high caliber. Proc. of Metallforming colloquium. Germany, Bergakademie Freiberg. 1984, pp. 100–115.

Gun G.Ya. Teoreticheskie osnovy obrabotki metallov davleniem [Theoretical Foundations of Metal Forming]. Moscow, Metallurgiya Publ., 1980, 456 p.

Kamenshchikov Yu.I., Barkov L.A. [The calculation method of deformations and forces when pressing of porous materials]. Proc. of the 1st International Conference on Mechanics, 1987, pp. 252–255. (in Russ.)

Barkov L.A., Kamenshchikov Yu.I., Kuznetsov G.A. Pore material deformability in four-roll pass rolling. Proc. of the 3rd International Conference on Computational Plasticity, 1992, vol. 1, pp. 1207–1210.

Brandstatter W., Rudolph G. Beitrag zur Oberflachenausbildung beim diskontinuierlichen Strangguss von CuCd Drahtbarren und Ihr Einfluss beim Warmwalzen. Z. Metallkunde. 1969, Bd. 7, S. 565–570.

Brauer H. Dreiwalzenblocke in Walzstrassen für Feineisen und Draht. Draht-Welt, 1971, Bd. 57, Nr. 12, S. 611–618.

Brauer H. Heuer Walzblock für Wolframdraht in China in Betrieben. Stahl und Eisen, 1987, Bd. 107, Nr. 21. – 28 S.

Kamenshchikov Yu.I., Barkov L.A., Kamenshchikov A.Yu. [Kinematic models of rolling when deformation scheme is not uniform]. Izvestiya Academii Nauk. Metally, 1991, no. 1, pp. 76–79. (in Russ.)

Kamenshchikov Yu.I., Barkov L.A., Kuznetsov G.A. Computer modelling of plastic deformations in rolling of porous materials. International Conference on Computational Engineering Science (ICES' 92), 1992, p. 10.

Nikolaevskii V.N., Afanasiev E.F. On some examples of media with microstructure of continuous particles. Jnternat. I. Solids and Struct., 1969, vol. 5, no. 7, pp. 671–678. DOI: 10.1016/0020-7683(69)90087-0

Reynolds O. On the Dilatancy of media composed of rigid particles in contact. Phil. Mag. Ser. 5, 1985, no. 127, pp. 469–481.

Carapciogly Y., Uz Т. Constitutive equations for plastic deformation of porous materials. Powder Technol., 1978, no. 21, pp. 269–271. DOI: 10.1016/0032-5910(78)80095-3

Shwarts W. The model of the compacting of the Metals Powders. I. Amer. Germ. Soc., 1965, vol. 48, no. 7, pp. 346–350.


  • На текущий момент ссылки отсутствуют.