Flow stress models for deformation under varying condition—finite element method simulation

  • Dmytro Svyetlichnyy
  • Jarosław Nowak
  • Nikolay Biba
  • Łukasz ŁachEmail author
Open Access


This work presents description and comparison of internal and state variable models of flow stress in varying processing conditions. Three models were analyzed. The first one is based on dislocation theory and describing the mechanical behavior of f.c.c. polycrystalline structures. The second and third models are standard and modified Sellars’ flow stress models. Models were adapted for two commercial codes based on finite element method: QForm7 and Forge 2005. The compression test of 45 grade steel with instant changes of strain rate was simulated. Calculated compression force and flow stress were compared with the experimental data from plastometric tests. The forging process was simulated by QForm7. Results obtained by both internal and modified Sellars’ models confirm their high accuracy for analysis and prediction of the flow stress under the varying deformation conditions.


Flow stress Internal variables model Varying deformation conditions FEM simulation 


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© The Author(s) 2016

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Dmytro Svyetlichnyy
    • 1
  • Jarosław Nowak
    • 1
  • Nikolay Biba
    • 2
  • Łukasz Łach
    • 1
    Email author
  1. 1.AGH University of Science and TechnologyKrakowPoland
  2. 2.MICAS Simulations Ltd.OxfordUK

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