Torsion of Rods Made of Hardening Material Subjected to the Influence of Variable External Pressure under a Linearized Plastic Flow Rule

B. G. Mironov; Миронов Б. Г.; Yu. B. Mironov; Миронов Ю. Б.

doi:10.31857/S0572329923600226

Torsion of Rods Made of Hardening Material Subjected to the Influence of Variable External Pressure under a Linearized Plastic Flow Rule

Authors: Mironov B.G.¹, Mironov Y.B.²
Affiliations:
1. Russian University of Transport (MIIT)
2. Moscow Technical University of Communications and Informatics
Issue: No 6 (2023)
Pages: 83-88
Section: Articles
URL: https://journals.rcsi.science/1026-3519/article/view/231714
DOI: https://doi.org/10.31857/S0572329923600226
EDN: https://elibrary.ru/ZTZBHC
ID: 231714

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

The article deals with the torsion of rods made of an anisotropically hardening rigid-plastic material under the linearized plastic flow rule. It is assumed that the rod is subject to external pressure, which varies linearly along the generatrix. The components of the stress and strain tensors that describe the limiting state of the rod are determined.

Keywords

plasticity, rod, hardening, torsion, anisotropy, deformation, stress, linearization, associated flow rule

About the authors

B. G. Mironov

Russian University of Transport (MIIT)

Email: mbg.chspu@yandex.ru
127994, Moscow, Russia

Yu. B. Mironov

Moscow Technical University of Communications and Informatics

Author for correspondence.
Email: i.b.mironov@mtuci.ru
111024, Moscow, Russia

References

Соколовский В.В. Теория пластичности. М.: Высшая школа, 1969. 608 с.
Прагер В., Ходж Ф.Г. Теория идеально пластических тел. М.: ИЛ, 1956. 398 с.
Ивлев Д.Д. Теория идеальной пластичности. М.: Наука, 1966. 232 с.
Ивлев Д.Д. Механика пластических сред. Т. 2. Общие вопросы. Жесткопластическое и упругопластическое состояние тел. Упрочнение. Деформационные теории. Сложные среды. М.: Физматлит, 2002. 448 с.
Ольшак В., Рыхлевский Я., Урбановский В. Теория пластичности неоднородных тел. М.: Мир, 1964. 156 с.
Миронов Б.Г. К теории кручения неоднородных стержней // Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния. 2014. № 4(22). С. 236–240.
Миронов Б.Г., Козлова Л.С. Кручение призматических стержней при действии давления, линейно меняющегося вдоль образующей // Изв. РАН. МТТ. 2014. № 3. С. 107–113.
Mironov B.G., Mironov Yu.B. Torsion anisotropic and composite cylindrical rod // J. Phys. Conf. Ser. 2019. V. 1203. P. 012009. https://doi.org/10.1088/1742-6596/1203/1/012009
Mironov B.G., Mironov Yu.B. Torsion of Non-Uniform Cylindrical and Prismatic Rods Made of Ideally Plastic Material under Linearized Yield Criterion // Mech. Solids. 2020. V. 55. P. 813–819. https://doi.org/10.3103/S0025654420060102
Mironov B.G., Mironov Yu.B. Problem on Torsion of Rods Made of a Hardening Material under the Action of Variable External Pressure Using a Linearized Plasticity condition // Mech. Solids. 2022. V. 57. № 2. P. 271–277. https://doi.org/10.31857/S0572329922020143