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Stress Distribution in the Sample Neck during the Tensile Testing

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

Abstract

In this chapter, the considered issue is presented on the base of two different models of plasticity theory and the detailed derivation of formulae for the average normalised axial stress in the minimal section plane is shown based on different classical approaches. For the sake of fact that all classical derivations are presented in so-called Euler coordinates, the independent variables are coordinates in the current configuration of the point in the space, in which a material particle is located at the considered moment of time. Let us notice that in this coordinate system for the given deformation, an additional problem is the determination of the boundary positions along which the boundary conditions on the neck contour are estimated since they are continuous changing for each stage of deformation. However, this inconvenience can be recompensed by linear equilibrium equations [8].

Keywords

Stress distribution in the sample with neck Classical and new approaches Deformation theory Flow theory 

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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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