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STUDY OF CREEP OF ORTHOTROPIC RODS UNDER TORSION USING THE METHOD OF CHARACTERISTIC PARAMETERS

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Abstract

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

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

    I. A. Banshchikova

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  1. I. A. Banshchikova
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Correspondence to I. A. Banshchikova.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Vol. 64, No. 1, pp. 169-184. https://doi.org/10.15372/PMTF20230116.

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Banshchikova, I.A. STUDY OF CREEP OF ORTHOTROPIC RODS UNDER TORSION USING THE METHOD OF CHARACTERISTIC PARAMETERS. J Appl Mech Tech Phy 64, 146–158 (2023). https://doi.org/10.1134/S0021894423010169

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