Torsion of Non-Uniform Cylindrical and Prismatic Rods Made of Ideally Plastic Material under Linearized Yield Criterion

Mechanics of Solids volume 55, pages813–819(2020)Cite this article

Abstract—

The general relations of the torsion theory of inhomogeneous rods made of an ideal rigid-plastic material are considered. In the case of the linearized yield criterion, integrals are obtained that determine the stressed and deformed states of an ideal rigid-plastic inhomogeneous rod during torsion. The field of characteristics of the basic relations is constructed, the lines of stress rupture are found.

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REFERENCES

  1. 1

    V. V. Sokolovskii, Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian].

    Google Scholar 

  2. 2

    D. D. Ivlev, Mechanics of Plastic Media, Vol. 2: General Problems. Rigidplastic and Elastoplastic States of Bodies. Strengthening. Deformation Theories. Complicated Media (Fizmatlit, Moscow, 2002) [in Russian].

  3. 3

    W. Prager and P. G. Hodge, Theory of Perfectly Plastic Solids (Wiley, New York, 1951).

    Google Scholar 

  4. 4

    G. I. Bykovtsev, Theory of Plasticity (Dal’nauka, Vladivostok, 1998) [in Russian].

    Google Scholar 

  5. 5

    W. Olszak, J. Rychlewski, and W. Urbanowski, Theory of Plasticity of Inhomogeneous Bodies (Mir, Moscow, 1964) [in Russian].

  6. 6

    B. G. Mironov, “To the theory of torsion of non-uniform cores,” Vestn. Chuvash. Gos. Ped. Univ. Im. Yakovleva Ser.: Mekh. Pred. Sost., No. 4 (22), 236–240 (2014).

  7. 7

    B. G. Mironov, “Torsion anisotropic and composite cylindrical rod,” J. Phys.: Conf. Ser. 1203, 012009 (2019).

    Google Scholar 

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Affiliations

  1. Russian University of Transport (MIIT), 127994, Moscow, Russia

    B. G. Mironov

  2. Moscow Technical University of Communications and Informatics, 111024, Moscow, Russia

    Yu. B. Mironov

Authors
  1. B. G. Mironov
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  2. Yu. B. Mironov
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Corresponding authors

Correspondence to B. G. Mironov or Yu. B. Mironov.

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Translated by M. Katuev

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Mironov, B.G., Mironov, Y.B. Torsion of Non-Uniform Cylindrical and Prismatic Rods Made of Ideally Plastic Material under Linearized Yield Criterion. Mech. Solids 55, 813–819 (2020). https://doi.org/10.3103/S0025654420060102

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Keywords:

  • Plasticity
  • heterogeneity
  • torsion
  • deformation
  • stress