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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-1pp.45-55

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A.G. Kesarev and A.M. Vlasova, "Determination of Yield Strength of Single-Crystals with a Hexagonal Lattice at a Given Strain Tensor and Hydrostatic Pressure," Mech. Solids. 58 (1), 45-55 (2023)
Year 2023 Volume 58 Number 1 Pages 45-55
DOI 10.3103/S0025654422100405
Title Determination of Yield Strength of Single-Crystals with a Hexagonal Lattice at a Given Strain Tensor and Hydrostatic Pressure
Author(s) A.G. Kesarev (Mikheev lnstitute of Metal Physics of Ural Branch of Russian Academy of Sciences, Ekaterinburg, 620108 Russia)
A.M. Vlasova (Mikheev lnstitute of Metal Physics of Ural Branch of Russian Academy of Sciences, Ekaterinburg, 620108 Russia; Ural Federal University Named after the first President of Russia B. N. Yeltsin, Ekaterinburg, 620002 Russia, alisa@imp.uran.ru)
Abstract Within the framework of the Mises yield criterion generalized to hexagonal crystals proposed by the authors, the problem of determining the stress tensor depending on the strain rate tensor and the applied external pressure is solved. The cases of plane and uniaxial deformation are considered in detail for an arbitrary orientation of the crystal lattice. For the cases of plane and uniaxial deformation, diagrams of stress level lines for the onset of plastic flow are plotted. Diagrams are given for the components of the stress tensor deviator
Keywords magnesium, deformation, hexagonal crystals, strength, plasticity, yield criterion, Mises criterion, stress tensor, strain rate tensor, deviator
Received 18 January 2022Revised 16 February 2022Accepted 17 February 2022
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