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An Energetic Approach to Deformation Twinning

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IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 21))

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Abstract

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.

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Authors and Affiliations

  1. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, D-44780, Bochum, Germany

    Khanh C. Le & Dennis M. Kochmann

Authors
  1. Khanh C. Le
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  2. Dennis M. Kochmann
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Correspondence to Khanh C. Le .

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Editors and Affiliations

  1. LS Allgemeine Mechanik, Universität Bochum, Bochum, Germany

    Klaus Hackl

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Le, K.C., Kochmann, D.M. (2010). An Energetic Approach to Deformation Twinning. In: Hackl, K. (eds) IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. IUTAM Bookseries, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9195-6_11

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  • DOI: https://doi.org/10.1007/978-90-481-9195-6_11

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9194-9

  • Online ISBN: 978-90-481-9195-6

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