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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2023 Volume 64, Issue 1, Pages 169–184 (Mi pmtf1247)

This article is cited in 1 paper

Study using the method of characteristic creep parameters of orthotropic rods under torsion

I. A. Banshchikova

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: The Bhatnagar–Gupta method is used to consider a solution to the problem of torsion of a rod with a circular cross section cut in the longitudinal direction from a transversally isotropic plate under creep conditions is considered. It is shown that the solution agrees satisfactorily with the lower and upper estimates of the twisting angular velocity obtained on the basis of the principles of minimum total power and additional scattering, as well as with the results of numerical simulation in the Ansys finite element program. Based on the Bhatnagar–Gupta solution, the possibility of using the method of characteristic parameters for estimating the stress-strain state and the rate of the twist angle of a rod under the action of a constant moment is shown.

Keywords: structural alloys, orthotropy, creep, torsion of a rod with a circular cross section, minimum additional dissipation and apparent power, method of characteristic parameters.

UDC: 539.376

Received: 13.04.2022
Revised: 21.06.2022
Accepted: 29.08.2022

DOI: 10.15372/PMTF202215115


 English version:
Journal of Applied Mechanics and Technical Physics, 2023, 64:1, 146–158

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© Steklov Math. Inst. of RAS, 2024