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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-3pp.1702-1706

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B.G. Mironov and Yu.B. Mironov, "On Determining the Ultimate Deformed State of an Isotropic Rod under the Influence of External Pressure and Torsion," Mech. Solids. 60 (3), 1702-1706 (2025)
Year 2025 Volume 60 Number 3 Pages 1702-1706
DOI 10.1134/S002565442560151X
Title On Determining the Ultimate Deformed State of an Isotropic Rod under the Influence of External Pressure and Torsion
Author(s) B.G. Mironov (Russian University of Transport (MIIT), Moscow, 127994 Russia, mbg.chspu@yandex.ru)
Yu.B. Mironov (Moscow Technical University of Communications and Informatics, Moscow, 111024 Russia, i.b.mironov@mtuci.ru)
Abstract In this paper, we study the ultimate deformed state of an isotropic rod under the influence of external pressure and varying linearly along its generatrix. It is assumed that the rod rotates around its axis. The general equations describing the limiting state of rods under the influence of external pressure in a cylindrical coordinate system are considered. Integrals of relations describing the ultimate deformed state of the rod are obtained. The characteristics of the studied ratios and the envelope of the family of characteristics are found. The deformed state of a cylindrical isotropic rod with a circular cross-section under external pressure is determined.
Keywords plasticity, rod, torsion, anisotropy, deformation, stress, associated flow rule, isotropy
Received 31 March 2025Revised 02 April 2025Accepted 02 April 2025
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