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Full-Field Crystal Plasticity Modeling of \( \mathbf{\{ 1\,0\,\overline{1}\, 2\}} \) Twin Nucleation

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Magnesium Technology 2020

Part of the book series: The Minerals, Metals & Materials Series ((MMMS))

Abstract

Historically, the ability of crystal plasticity to incorporate the Schmid’s law at each integration point has been a powerful tool to simulate and predict slip-induced localization at the single and polycrystal levels. Unfortunately, this remarkable capability has not been replicated for materials where twinning becomes a noticeable deformation mechanism. The challenge resides mainly in the biased regional lattice transformation associated with twin formation in defiance of its obedience to threshold stress. Inspired by results from micromechanics, digital image correlation, and molecular dynamics, we developed an explicit twinning nucleation criterion based on hydrostatic stress gradient and volume fraction of twin inside a grain. Characteristic twin spacing parameter is used as a function of twin height to determine site-specific nucleation points in the case of multiple twins. This approach offered a good reproduction of the microstructure evolution and autocatalysis phenomenon as affected by twinning in a tricrystal system.

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Acknowledgements

Research was sponsored by the Army Research Laboratory and was accomplished under Cooperative Agreement Number W911NF-15-2-0025. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the US Government. The US Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein.

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Authors and Affiliations

  1. Center for Advanced Vehicular Systems, Mississippi State University, Starkville, MS, 39759, USA

    YubRaj Paudel, Christopher D. Barrett & Haitham El Kadiri

  2. Department of Mechanical Engineering, Mississippi State University, Starkville, MS, 39762, USA

    Christopher D. Barrett & Haitham El Kadiri

  3. Universite Internationalé de Rabat, Rabat-Shore Rocade Rabat-Salé, Rabat, Morocco

    Haitham El Kadiri

Authors
  1. YubRaj Paudel
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  2. Christopher D. Barrett
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  3. Haitham El Kadiri
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Correspondence to Haitham El Kadiri .

Editor information

Editors and Affiliations

  1. Tuscaloosa, AL, USA

    J. Brian Jordon

  2. University of Florida, Gainesville, FL, USA

    Victoria Miller

  3. Pacific Northwest National Laboratory, Richland, WA, USA

    Vineet V. Joshi

  4. IND LLC, South Jordan, UT, USA

    Neale R. Neelameggham

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© 2020 The Minerals, Metals & Materials Society

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Paudel, Y., Barrett, C.D., El Kadiri, H. (2020). Full-Field Crystal Plasticity Modeling of \( \mathbf{\{ 1\,0\,\overline{1}\, 2\}} \) Twin Nucleation. In: Jordon, J., Miller, V., Joshi, V., Neelameggham, N. (eds) Magnesium Technology 2020. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-36647-6_23

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