Journal of Materials Science

, Volume 51, Issue 5, pp 2243–2258 | Cite as

Review on slip transmission criteria in experiments and crystal plasticity models

  • E. Bayerschen
  • A. T. McBride
  • B. D. Reddy
  • T. Böhlke


A comprehensive overview is given of the literature on slip transmission criteria for grain boundaries in metals, with a focus on slip system and grain boundary orientation. Much of this extensive literature has been informed by experimental investigations. The use of geometric criteria in continuum crystal plasticity models is discussed. The theoretical framework of Gurtin (J Mech Phys Solids 56:640–662, 2008) is reviewed for the single slip case. This highlights the connections to slip transmission criteria from the literature that are not discussed in the work itself. Different geometric criteria are compared for the single slip case with regard to their prediction of slip transmission. Perspectives on additional criteria, investigated in experiments and used in computational simulations, are given.


Slip System Slip Plane Critical Angle Resolve Shear Stress Slip Direction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors acknowledge the following support: T. Böhlke and E. Bayerschen: German Research Foundation (DFG) under Grant BO1466/5-1, part of the DFG Research Group 1650 “Dislocation based Plasticity,” and Karlsruhe House of Young Scientists (KHYS) for funding a stay of the first author of this work at CERECAM, UCT. B.D. Reddy and A.T. McBride: National Research Foundation of South Africa (SA) through the SA Research Chair in Computational Mechanics. The support by E. Ramani in preparing the plots in “Comparison of geometric criteria for the single slip case” is acknowledged.

Compliance with ethical standards

Conflicts of interest

The authors confirm that no conflicts of interest arise with regard to the research leading to this paper, nor with publication of this work.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • E. Bayerschen
    • 1
  • A. T. McBride
    • 2
  • B. D. Reddy
    • 2
  • T. Böhlke
    • 1
  1. 1.Chair for Continuum Mechanics, Institute of Engineering Mechanics (ITM)Karlsruhe Institute of Technology (KIT)KarlsruheGermany
  2. 2.Centre for Research in Computational and Applied Mechanics (CERECAM)University of Cape Town (UCT)RondeboschSouth Africa

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