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

  • Magdalena Gromada
  • Gennady Mishuris
  • Andreas Öchsner

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Computational Mechanics book sub series (BRIEFSCOMPUTAT)

Table of contents

  1. Front Matter
    Pages i-x
  2. Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
    Pages 1-16
  3. Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
    Pages 17-65
  4. Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
    Pages 67-86
  5. Back Matter
    Pages 87-90

About this book


The monograph deals with methods to determine mechanical properties and evaluate the flow curve of ductile materials from the tensile test. It presents classical hypotheses concerning the onset of neck creation as well as the state of the art in determining the mechanical properties from the tensile test, with emphasis on the consequences of the neck formation. It revises derivations of formulae for the stress distribution in the minimal cross-section of the axisymmetrical specimen in the classical approaches proposed by Bridgman, Davidenkov / Spiridonova and Siebel as well as in the less famous formulae derived by Szczepinski and Malinin / Petrosjan. The revision is completed with solutions evaluated by the authors. In the monograph, the simplifying assumptions utilised in the classical approaches were carefully verified by numerical simulations accompanied by theoretical analysis. Errors imposed in the evaluation of the average axial stress acting on the minimal cross-section as a result of every particular simplification are estimated. The accuracy of all formulae to evaluate the flow curve is discussed. The significance of a high accurate determination can be seen in the context of numerical simulation (e.g. finite element computations), where the total error and accuracy is partly based on the accuracy of the material input.


Bridgman Davidenkov- Spiridonova Siebel axial stresses axisymmetrical specimen ductile materials finite element computations neck creation stress distribution tensile test

Authors and affiliations

  • Magdalena Gromada
    • 1
  • Gennady Mishuris
    • 2
  • Andreas Öchsner
    • 3
  1. 1., Ceramic Department CERELInstitute of Power EngineeringBoguchwalaPoland
  2. 2., Institute of Mathematics and PhysicsAberystwyth UniversityAberystwyth, CeredigionUnited Kingdom
  3. 3.Faculty of Mechanical Engineering, Department of Applied MechanicsTechnical University of MalaysiaJohorMalaysia

Bibliographic information

  • DOI
  • Copyright Information Magdalena Gromada 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-642-22133-0
  • Online ISBN 978-3-642-22134-7
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site