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Generalized von Mises Criterion as a Tool for Determining the Strength Properties of Hexagonal Materials

Abstract

Using the previously proposed generalization of the von Mises yield criterion for crystals with a hexagonal lattice, the dependence of the stress tensor on the strain tensor and applied external pressure is found. The case of plane deformation with an arbitrary orientation of crystallites is analyzed in detail. The components of the stress tensor deviator for magnesium single crystals with all kinds of orientations are calculated, and the stress level lines are plotted for the onset of plastic flow.

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Funding

The study was conducted within the framework of State assignment no. AAAA-A18-118020190104-3 on topic Pressure.

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Correspondence to A. M. Vlasova.

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The authors declare that they have no conflicts of interest.

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Translated by O. Kadkin

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Kesarev, A.G., Vlasova, A.M. Generalized von Mises Criterion as a Tool for Determining the Strength Properties of Hexagonal Materials. Phys. Metals Metallogr. 123, 186–192 (2022). https://doi.org/10.1134/S0031918X22020041

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  • DOI: https://doi.org/10.1134/S0031918X22020041

Keywords:

  • magnesium
  • deformation
  • hexagonal crystals
  • strength
  • yield criterion