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Construction of a Two-Dimensional Discrete Dislocation Model to Describe the Plastic Deformation Process of a Single Crystal

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The paper considers the development and numerical implementation of a two-dimensional discrete dislocation model to describe the inelastic deformation of a hexagonal close-packed (HCP) single crystal, taking into account long-range and short-range dislocation interactions. The analytical results are obtained for image fields using the Fourier series for cases of dislocation approaching the crystal boundaries. The model adequacy tests are carried out, and the evolution of the dislocation structure is illustrated with the gradual inclusion of the mechanisms of dislocation annihilation, dislocation pinning at obstacles, and dislocation nucleation by the Frank-Read sources.

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Authors and Affiliations

  1. Perm National Research Polytechnic University, Perm, Russia

    N. A. Knyazev & P. S. Volegov

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  1. N. A. Knyazev
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  2. P. S. Volegov
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Correspondence to N. A. Knyazev.

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Knyazev, N.A., Volegov, P.S. Construction of a Two-Dimensional Discrete Dislocation Model to Describe the Plastic Deformation Process of a Single Crystal. Russ Phys J 66, 1194–1205 (2024). https://doi.org/10.1007/s11182-023-03062-4

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  • DOI: https://doi.org/10.1007/s11182-023-03062-4

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