Numerical modeling of complex plastic deformation of metals along plane and spatial trajectories of arbitrary curvature and torsion

Authors

  • Ivan Andreevich Volkov Volga State Academy of Water Transport
  • Yury Georgievich Korotkih Volga State Academy of Water Transport
  • Mikhail Nikolaevich Fomin Volga State Academy of Water Transport

DOI:

https://doi.org/10.7242/1999-6691/2009.2.3.19

Keywords:

mathematical modeling, plasticity, deformation trajectories, complex loading

Abstract

The mathematical model of thermoplasticity describing the processes of complex plastic deformation of structural materials (metals and their alloys) along plane and spatial trajectories of arbitrary curvature and torsion is developed. For evaluating the adequacy degree of constitutive relations of elastoplasticity and the range of their applicability, numerical investigations of complex plastic deformation (by the example of steel 45) along the trajectories having the form of a circle and the screw trajectories of constant curvature and torsion are carried out. The obtained numerical results are compared with the data of full-scale experiments. It is shown that the developed model of thermoplaciticity describes qualitatively and quantitatively the main effects of complex plastic deformation of metals under arbitrary non-proportional combined (P-q-M) force loading.

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References

Degtarev V.P. Plasticnost’ i polzucest’ masinostroitel’nyh konstrukcij. - M.: Masinostroenie, 1967. - 131s.
Zukov A.M. Nekotorye osobennosti povedenia materialov pri uprugoplasticeskom deformirovanii // Voprosy teorii plasticnosti. - M.: AN SSSR, 1961. - S. 30-57.
Ohasi Y., Tanaka E. Plastic behavior of mild steel along orthogonal triliner straintrajectory in three-demectional vector space of strain diviator // Trans. ASME. 1981. - V. 103. - No 4. - P. 287-292.
Zavohajko A.A., Mozarovskij N.S. O harakteristikah procnosti i plasticnosti pri sloznyh putah nagruzenia // Problemy procnosti. - 1992. - S. 90-93.
Zubcaninov V.G., Ohlopkov N.L., Garannikov V.V. Eksperimental’naa plasticnost’. - Tver’: TGTU, 2003. - 172 s.
Zubcaninov V.G., Ohlopkov N.L., Garannikov V.V. Eksperimental’naa plasticnost’. - Tver’: TGTU, 2004. - 184 s.
Zubcaninov V.G. Ustojcivost’ i plasticnost’: V 2-h t. T. 2: Plasticnost’. - M.: FIZMATLIT, 2008. - 336s.
Makovkin G.A. Sravnitel’nyj analiz parametrov neproporcional’nosti sloznogo uprugoplasticeskogo deformirovania // Vestnik Nizegorodskogo universiteta im. Lobacevskogo. - N. Novgorod: NNGU. - 1999. - S. 30-36.
Korotkih U.G., Volkov I.A., Gordleeva I.U. Modelirovanie processov uprugoplasticeskogo deformirovania stalej pri sloznom nagruzenii // Ustojcivost’, plasticnost’, polzucest’ pri sloznom nagruzenii: mezvuzovskij sbornik - Tver’: TGTU, 2000. - No 2. - S. 60-65.
Volkov I.A., Korotkih U.G. Uravnenia sostoania vazkouprugoplasticeskih sred s povrezdeniami. - M.: FIZMATLIT, 2008. - 424s.
Volkov I.A., Korotkih U.G., Tarasov I.S. Cislennoe modelirovanie nakoplenia povrezdenij pri sloznom plasticeskom deformirovanii // Vycisl. meh. splos. sred. - 2009. - T. 2, No 1. - S. 5-18.

Published

2009-07-01

Issue

Section

Articles

How to Cite

Volkov, I. A., Korotkih, Y. G., & Fomin, M. N. (2009). Numerical modeling of complex plastic deformation of metals along plane and spatial trajectories of arbitrary curvature and torsion. Computational Continuum Mechanics, 2(3), 17-24. https://doi.org/10.7242/1999-6691/2009.2.3.19