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

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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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