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Formulae Verification for the Flow Curve Determination Due to Numerical Simulation

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Correction Formulae for the Stress Distribution in Round Tensile Specimens at Neck Presence

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Abstract

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.

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References

  1. M. Gromada, Modelling of the plastic strain location in the tensile test (in Polish) (Rzeszow University of Technology, Rzeszow, 2006)

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  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)

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  3. Program MSC.Marc Volume E: Demonstration Problems, Part II, Chapter 3 Plasticity and Creep

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  4. Standard EN 10002 –1 Metallic materials – Tensile testing – Part 1: Method of test at ambient temperature

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Authors and Affiliations

  1. Ceramic Department CEREL, Institute of Power Engineering, 1 Techniczna St., 36-040, Boguchwala, Poland

    Magdalena Gromada

  2. Institute of Mathematics and Physics, Aberystwyth University, Penglais, Aberystwyth, SY23 3BZ, Ceredigion, UK

    Gennady Mishuris

  3. Department of Applied Mechanics, Faculty of Mechanical Engineering, Technical University of Malaysia, Johor, Malaysia

    Andreas Öchsner

Authors
  1. Magdalena Gromada
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  2. Gennady Mishuris
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  3. Andreas Öchsner
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Correspondence to Magdalena Gromada .

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© 2011 Magdalena Gromada

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Gromada, M., Mishuris, G., Öchsner, A. (2011). Formulae Verification for the Flow Curve Determination Due to Numerical Simulation. In: Correction Formulae for the Stress Distribution in Round Tensile Specimens at Neck Presence. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22134-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-22134-7_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22133-0

  • Online ISBN: 978-3-642-22134-7

  • eBook Packages: EngineeringEngineering (R0)

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