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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2017, Volume 21, Number 3, Pages 507–523 (Mi vsgtu1551)  

Mechanics of Solids

Solution of the boundary-value problem of torsion for solid and hollow cylindrical specimens made of the Steel 45 and AMG-6M alloy under short-term steady-state creep conditions

V. V. Tsvetkov

Samara State Technical University, Samara, 443100, Russian Federation

Abstract: We have developed a method for solving the boundary-value problem of torsion for solid and hollow cylindrical specimens under steady-state creep conditions. The definition of rheological model is carried out with experimental stationary creep curves under uniaxial tension in accordance with the modified method of least squares. Comparison of calculated characteristics of the stress-state with corresponding test data was made for short-time creep of cylindrical specimens made of the Steel 45 or AMG-6M alloy. The dependencies for strain intensity at the characteristic point and torsion angle on time are obtained and compared with the data calculated by the method of characteristic point. The estimates of errors of deviation of calculated data from experimental values are given and there is good-enough correspondence between the experimental and calculated data. The calculated diagrams for shear stress along the radius at different time points are obtained during torsion for both solid and hollow cylinders.

Keywords: boundary-value problem, cylindrical specimen, tension, torsion, steady-state creep, numerical method

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00249_а
This work was supported by the Russian Foundation for Basic Research (project no. 16–01–00249_a).


DOI: https://doi.org/10.14498/vsgtu1551

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Bibliographic databases:

UDC: 539.376
MSC: Primary 74D10; Secondary 74C20, 74K10
Received: June 28, 2017
Revised: August 29, 2017
Accepted: September 18, 2017
First online: November 10, 2017

Citation: V. V. Tsvetkov, “Solution of the boundary-value problem of torsion for solid and hollow cylindrical specimens made of the Steel 45 and AMG-6M alloy under short-term steady-state creep conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:3 (2017), 507–523

Citation in format AMSBIB
\Bibitem{Tsv17}
\by V.~V.~Tsvetkov
\paper Solution of the boundary-value problem of torsion for solid and hollow cylindrical specimens
made of the Steel 45 and~AMG-6M alloy under short-term steady-state creep~conditions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 3
\pages 507--523
\mathnet{http://mi.mathnet.ru/vsgtu1551}
\crossref{https://doi.org/10.14498/vsgtu1551}
\zmath{https://zbmath.org/?q=an:06964801}
\elib{https://elibrary.ru/item.asp?id=32248394}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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