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Erschienen in: Physics of Metals and Metallography 2/2022

01.02.2022 | STRENGTH AND PLASTICITY

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

verfasst von: A. G. Kesarev, A. M. Vlasova

Erschienen in: Physics of Metals and Metallography | Ausgabe 2/2022

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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.
Literatur
1.
Zurück zum Zitat A. M. Vlasova and A. G. Kesarev, “Deformation model of magnesium single crystals,” Russ. Phys. J. 61, No. 7, 1258–1269 (2018). CrossRef A. M. Vlasova and A. G. Kesarev, “Deformation model of magnesium single crystals,” Russ. Phys. J. 61, No. 7, 1258–1269 (2018). CrossRef
2.
Zurück zum Zitat A. M. Vlasova and A. G. Kesarev, “A generalization of the von mises criterion for a single crystal with a hexagonal crystal lattice,” Mech. Solids. 54, 1197–1207 (2019). CrossRef A. M. Vlasova and A. G. Kesarev, “A generalization of the von mises criterion for a single crystal with a hexagonal crystal lattice,” Mech. Solids. 54, 1197–1207 (2019). CrossRef
3.
Zurück zum Zitat B. E. Pobedrya, Mechanics of Composites (Izdatel’stvo Moskovskogo Universiteta, Moscow, 1984). B. E. Pobedrya, Mechanics of Composites (Izdatel’stvo Moskovskogo Universiteta, Moscow, 1984).
4.
Zurück zum Zitat P. V. Trusov, P. S. Volegov, and N. S. Kondrat’ev, Physical Theory of Plasticity (Izd-vo Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo un-ta, Perm, 2013) [in Russian]. P. V. Trusov, P. S. Volegov, and N. S. Kondrat’ev, Physical Theory of Plasticity (Izd-vo Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo un-ta, Perm, 2013) [in Russian].
5.
Zurück zum Zitat L. I. Sedov, Continuum Mechanics (Nauka, Moscow, 1994), Vol. 2 [in Russian]. L. I. Sedov, Continuum Mechanics (Nauka, Moscow, 1994), Vol. 2 [in Russian].
6.
Zurück zum Zitat L. I. Sedov, Continuum Mechanics (Nauka, Moscow, 1994), Vol. 1 [in Russian]. L. I. Sedov, Continuum Mechanics (Nauka, Moscow, 1994), Vol. 1 [in Russian].
7.
Zurück zum Zitat B. E. Pobedrya, Lectures on Tensor Analysis (Izdatel’stvo Moskovskogo Universiteta, Moscow, 1986). B. E. Pobedrya, Lectures on Tensor Analysis (Izdatel’stvo Moskovskogo Universiteta, Moscow, 1986).
8.
Zurück zum Zitat E. W. Kelly and W. F. Hosford, “Plane-strain compression of magnesium and magnesium alloy crystals,” Trans. Metall. Soc. AIME 242, 5–15 (1968). E. W. Kelly and W. F. Hosford, “Plane-strain compression of magnesium and magnesium alloy crystals,” Trans. Metall. Soc. AIME 242, 5–15 (1968).
9.
Zurück zum Zitat B. C. Wonsiewicz and W. A. Backofen, “Plasticity of magnesium crystals,” Trans. AIME 239, 1422–1431 (1967). B. C. Wonsiewicz and W. A. Backofen, “Plasticity of magnesium crystals,” Trans. AIME 239, 1422–1431 (1967).
10.
Zurück zum Zitat Ya. S. Umanskii, Yu. A. Skakov, A. M. Ivanov, and L. I. Rastorguev, Crystallography, X-ray Diffraction, and Electron Microscopy (Metallurgiya, Moscow, 1982). Ya. S. Umanskii, Yu. A. Skakov, A. M. Ivanov, and L. I. Rastorguev, Crystallography, X-ray Diffraction, and Electron Microscopy (Metallurgiya, Moscow, 1982).
Metadaten
Titel
Generalized von Mises Criterion as a Tool for Determining the Strength Properties of Hexagonal Materials
verfasst von
A. G. Kesarev
A. M. Vlasova
Publikationsdatum
01.02.2022
Verlag
Pleiades Publishing
Erschienen in
Physics of Metals and Metallography / Ausgabe 2/2022
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI
https://doi.org/10.1134/S0031918X22020041

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