Physical Mesomechanics

, Volume 22, Issue 3, pp 188–194 | Cite as

Finite Element Simulation of Chessboard Strain Localization in View of Statistical Spreads in Polycrystal Grain Parameters

  • V. A. PolyanskiyEmail author
  • A. K. Belyaev
  • A. I. Grishchenko
  • A. M. Lobachev
  • V. S. Modestov
  • A. V. Pivkov
  • D. A. Tretyakov
  • L. V. Shtukin
  • A. S. Semenov
  • Yu. A. Yakovlev


The paper presents a finite element simulation for research in the so-called chessboard effect of plastic strain localization. In the simulation, we consider a polycrystal metal strip under uniform tension on the assumption of a normal yield stress distribution over its grains. Using the simplest isotropic model, it is taken that all grains have the same linear hardening coefficient. The simulation results demonstrate that whether the problem statement is two- or three-dimensional the material reveals plastic strain localization in the form of numerous intersecting bands arranged into a chessboard system on the initially flat specimen surface.


chessboard plastic deformation finite element simulation plastic strain localization 


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Copyright information

© Pleiades Publishing, Ltd 2019

Authors and Affiliations

  • V. A. Polyanskiy
    • 1
    Email author
  • A. K. Belyaev
    • 1
  • A. I. Grishchenko
    • 1
  • A. M. Lobachev
    • 1
  • V. S. Modestov
    • 1
  • A. V. Pivkov
    • 2
  • D. A. Tretyakov
    • 1
  • L. V. Shtukin
    • 1
  • A. S. Semenov
    • 1
  • Yu. A. Yakovlev
    • 1
  1. 1.Peter the Great St. Petersburg Polytechnic UniversitySt. PetersburgRussia
  2. 2.St. Petersburg State University of Civil AviationSt. PetersburgRussia

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