An Energetic Approach to Deformation Twinning

  • Khanh C. LeEmail author
  • Dennis M. Kochmann
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 21)


Within continuum dislocation theory the plastic deformation of a single crystal with one active slip system under plane-strain constrained shear is investigated. By introducing a twinning shear into the energy of the crystal, we show that in a certain range of straining the formation of deformation twins becomes energetically preferable. Energetic thresholds for the onset of twinning and of plastic flow are determined and investigated. A rough analysis qualitatively describes not only the evolving volume fractions of twins but also their number during straining. Finally, we analyze the evolution of deformation twins and of the dislocation network at non-zero dissipation. We present the corresponding stress-strain hysteresis, the evolution of the plastic distortion and the twin volume fractions.


Slip System Twin Boundary Deformation Twinning Discrete Dislocation Plastic Slip 
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© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Lehrstuhl für Allgemeine MechanikRuhr-Universität BochumBochumGermany

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