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

  • Book
  • © 2011

Overview

Authors:
  1. Magdalena Gromada

    1. , Ceramic Department CEREL, Institute of Power Engineering, Boguchwala, Poland

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  2. Gennady Mishuris

    1. , Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, Ceredigion, United Kingdom

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  3. Andreas Öchsner

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

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  • Presents methods to determine mechanical properties and evaluate the flow curve of ductile materials
  • Revises classical hypotheses concerning the onset of neck creation and completes them with new solutions

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

Part of the book sub series: SpringerBriefs in Computational Mechanics (BRIEFSCOMPUTAT)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-x
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  2. Characterisation of the Tensile Test

    • Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
    Pages 1-16

  3. Stress Distribution in the Sample Neck during the Tensile Testing

    • Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
    Pages 17-65

  4. Formulae Verification for the Flow Curve Determination Due to Numerical Simulation

    • Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
    Pages 67-86

  5. Back Matter

    Pages 87-90
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Keywords

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.

Authors and Affiliations

  • , Ceramic Department CEREL, Institute of Power Engineering, Boguchwala, Poland

    Magdalena Gromada

  • , Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, Ceredigion, United Kingdom

    Gennady Mishuris

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

    Andreas Öchsner

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