Formulae Verification for the Flow Curve Determination Due to Numerical Simulation

  • Magdalena GromadaEmail author
  • Gennady Mishuris
  • Andreas Öchsner
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


The axisymmetric specimen applied in the tensile test is numerically characterised within this chapter. Subsequently, the simplifying assumptions of the classical approaches are verified utilising the results obtained from the numerical simulation and the errors were determined. These investigations can clarify the influence of each particular simplification on the value of the average normalised axial stress in the minimum section plane. Additionally, the errors were estimated which follow from the application of the formula for the true (logarithmic) plastic strain instead of the strain intensity in the flow curve. However, the highest significance, from the point of view of application of particular formulae, had the estimation of the errors created by application of the classical and newly derived formulae to determine the flow curve from the moment of neck formation.


Analytical and numerical analysis Simplifying assumptions Formulae verification 


  1. 1.
    M. Gromada, Modelling of the plastic strain location in the tensile test (in Polish) (Rzeszow University of Technology, Rzeszow, 2006)Google Scholar
  2. 2.
    M. Gromada, G. Mishuris, A. Öchsner, Necking in the tensile test. Correction formulae and related error estimation. Arch Metall Mater 52, 231–238 (2007)Google Scholar
  3. 3.
    Program MSC.Marc Volume E: Demonstration Problems, Part II, Chapter 3 Plasticity and CreepGoogle Scholar
  4. 4.
    Standard EN 10002 –1 Metallic materials – Tensile testing – Part 1: Method of test at ambient temperatureGoogle Scholar

Copyright information

© Magdalena Gromada 2011

Authors and Affiliations

  • Magdalena Gromada
    • 1
    Email author
  • Gennady Mishuris
    • 2
  • Andreas Öchsner
    • 3
  1. 1.Ceramic Department CERELInstitute of Power EngineeringBoguchwalaPoland
  2. 2.Institute of Mathematics and PhysicsAberystwyth University, PenglaisCeredigionUK
  3. 3.Department of Applied Mechanics, Faculty of Mechanical EngineeringTechnical University of MalaysiaJohorMalaysia

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