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Journal of Mathematical Sciences

, Volume 181, Issue 4, pp 438–449 | Cite as

Numerical analysis of processes of thermoplastic deformation of axisymmetric bodies with regard for unloading

  • I. S. Mukha
  • D. M. Nespliak
Article
  • 18 Downloads

We investigate the thermoelastoplastic state of an isotropic homogeneous medium under the action of temperature loads. A mathematical model of plastic flow is considered. We propose a method for constructing an unconditionally stable numerical scheme of the finite-element method for the solution of such problems. The process of propagation of the primary and secondary unloading zones in a body is shown. The time distribution of the intensity of plastic strain at a corner point of the body is presented. Results obtained without regard for the dependence of the yield strength on temperature and with regard for it are investigated.

Keywords

Plastic Strain Corner Point AXISYMMETRIC Body Kantorovich Method Isotropic Homogeneous Medium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  • I. S. Mukha
    • 1
  • D. M. Nespliak
    • 2
  1. 1.LvivUkraine
  2. 2.Lviv State University of Internal AffairsLvivUkraine

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