Evaluation of metal plasticity and research on the mechanics of pressure treatment processes under complex loading

Authors

  • Roman Sivak Vinnytsia National Technical University Khmelnytske highway, 95, Vinnytsia, Ukraine, 21021, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2017.115040

Keywords:

plasticity of a metal, complex loading, stress tensor, stress deviator, Bauschinger effect, loading history

Abstract

A calculating apparatus has been developed to help evaluate the stress-strain state in the plastic forming processes accompanied by a complex loading in which the Bauschinger effect can be manifested. The developed methods are based on the phenomenological approach in which a material map is devised in the form of flow curves, Bauschinger curves, a function j characterizing the hereditary influence of the loading history, plasticity diagrams, and limiting strain surfaces. To evaluate the plasticity resource used, taking into account the non-monotonicity of loading, the relations for determining the main components of the guiding strain-rate tensor were obtained, which made it possible to simplify the calculation of the components of the damage tensor. With the help of the developed calculating apparatus, the applied plasticity resource was evaluated in the process of radial extrusion with the contour sag, which allowed setting the limiting parameters of the shaping. Also, as a result of the research, an increase in the plasticity of the metal was established by selecting rational loading paths in the space of the dimensionless coordinates h, ms, and eu. For example, in the process of radial extrusion with the contour sag due to a change in the nature of the deformation, it was possible to obtain a flange diameter of 44 mm, with the initial diameter of the cylindrical workpiece being 20 mm. The results obtained are important because in most cases the processes of metal pressure treatment are accompanied by non-monotonic deformation

Author Biography

Roman Sivak, Vinnytsia National Technical University Khmelnytske highway, 95, Vinnytsia, Ukraine, 21021

PhD, Associate Professor

Department of Resistance of Materials and Applied Mechanics

References

  1. Zhbankov, I. G., Perig, A. V., Aliieva, L. I. (2015). New schemes of forging plates, shafts, and discs. The International Journal of Advanced Manufacturing Technology, 82 (1-4), 287–301. doi: 10.1007/s00170-015-7377-7
  2. Aliiev, I., Aliieva, L., Grudkina, N., Zhbankov, I. (2011). Prediction of the variation of the form in the processes of extrusion. Scientific and technical journal Metallurgical and Mining Industry, 3 (7), 17–22.
  3. Aliieva, L., Zhbankov, Y. (2015). Radial-direct extrusion with a movable mandrel. Metallurgical and Mining Industry, 11, 175–183.
  4. Zhbankov, I. G., Perig, A. V., Aliieva, L. I. (2016). Calculation of recovery plasticity in multistage hot forging under isothermal conditions. SpringerPlus, 5 (1). doi: 10.1186/s40064-016-3570-x
  5. Dunand, M., Mohr, D. (2011). On the predictive capabilities of the shear modified Gurson and the modified Mohr–Coulomb fracture models over a wide range of stress triaxialities and Lode angles. Journal of the Mechanics and Physics of Solids, 59 (7), 1374–1394. doi: 10.1016/j.jmps.2011.04.006
  6. Driemeier, L., Brünig, M., Micheli, G., Alves, M. (2010). Experiments on stress-triaxiality dependence of material behavior of aluminum alloys. Mechanics of Materials, 42 (2), 207–217. doi: 10.1016/j.mechmat.2009.11.012
  7. Brünig, M., Gerke, S., Schmidt, M. (2016). Biaxial experiments and phenomenological modeling of stress-state-dependent ductile damage and fracture. International Journal of Fracture, 200 (1-2), 63–76. doi: 10.1007/s10704-016-0080-3
  8. Assempour, A., Hashemi, R., Abrinia, K., Ganjiani, M., Masoumi, E. (2009). A methodology for prediction of forming limit stress diagrams considering the strain path effect. Computational Materials Science, 45 (2), 195–204. doi: 10.1016/j.commatsci.2008.09.025
  9. Le Maoût, N., Thuillier, S., Manach, P. Y. (2009). Aluminum alloy damage evolution for different strain paths – Application to hemming process. Engineering Fracture Mechanics, 76 (9), 1202–1214. doi: 10.1016/j.engfracmech.2009.01.018
  10. Hora, P., Tong, L. (2009). Prediction of failure under complex 3D-stress conditions. Proceedings of Forming Technology Forum 2009, 133–138.
  11. Saanouni, K., Devalan, P. (Eds.) (2012). Damage Mechanics in Metal Forming. John Wiley & Sons, 523. doi: 10.1002/9781118562192
  12. Ogorodnikov, V. A., Kiselyov, V. B., Sivak, I. O. (2005). Energiya. Deformatsii. Razrushenie (zadachi avtotekhnicheskoy ekspertizy). Vinnytsia: UNIVERSUM-Vinnytsia, 204.
  13. Backhaus, G. (1971). Zur analytischen Darstellung des Materialverhaltens im plastischen Bereich. ZAMM – Zeitschrift Für Angewandte Mathematik Und Mechanik, 51 (6), 471–477. doi: 10.1002/zamm.19710510608
  14. Ohorodnikov, V. A., Sivak, I. O., Sivak, R. I. (1999). Modeliuvannia protsesiv nemonotonnoi plastychnoi deformatsii. Knyha za materialamy piatoi mizhnarodnoi naukovo-tekhnichnoi konferentsii “Kontrol i upravlinnia v skladnykh systemakh” (KUSS-99), 1, 195–197.
  15. Hvan, D. V., Rozenberg, O. A., Tsekhanov, Yu. A. (1990). Issledovanie deformatsionnoy anizotropii metallov pri nemonotonnom plasticheskom deformirovanii v usloviyah lineynogo napryazhyonnogo sostoyaniya. Problemy prochnosti, 12, 53–56.
  16. Hvan, D. V., Tomilov, F. H., Korol'kov, V. I. (1996). Eksperimental'naya mekhanika konechnyh deformatsiy. Voronezh: Izd-vo «ELIST», 248.
  17. Zav'yalov, Yu. S., Kvasov, B. I., Miroshnichenko, V. L. (1980). Metody splayn-funktsiy. Moscow: Nauka, 352.
  18. Ogorodnikov, V. A. (1989). Deformiruemost' i razrushenie metallov pri plasticheskom deformirovanii. Kyiv: UMK VO, 150.
  19. Kolmogorov, V. L. (1970). Napryazheniya, deformatsii, razrushenie. Moscow Metallurgiya, 230.
  20. Bogatov, A. A., Mizhiritskiy, O. I., Smirnov, S. V. (1984). Resurs plastichnosti metallov pri obrabotke davleniem. Moscow: Metallurgiya, 144.
  21. Del', G. D. (1982). Plastichnost' deformirovannogo metalla. Fizika i tekhnika vysokih davleniy, 11, 28–32.
  22. Ogorodnikov, V., Del, G., Spiridonov, L. (1974). Plasticity of Metal Subjected to Complex Loading. Izv. Vyssh. Uchebn. Zaved. Mashinostr, 12, 22–26.
  23. Alieva, L. I., Dereven'ko, I. A., Sivak, R. I. (2013). Resurs plastichnosti v protsessah kombinirovannogo vydavlivaniya. Obrabotka materialov davleniem, 1 (34), 11–17.

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Published

2017-11-13

How to Cite

Sivak, R. (2017). Evaluation of metal plasticity and research on the mechanics of pressure treatment processes under complex loading. Eastern-European Journal of Enterprise Technologies, 6(7 (90), 34–41. https://doi.org/10.15587/1729-4061.2017.115040

Issue

Vol. 6 No. 7 (90) (2017): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2017 Roman Sivak

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