Saint-Venant torsion of cylindrical orthotropic bar-Reference-Cited by-同舟云学术

Saint-Venant torsion of cylindrical orthotropic bar

Published:2023-02-15 Issue:5 Volume:93 Page:2025-2032
ISSN:0939-1533
Container-title:Archive of Applied Mechanics
language:en
Short-container-title:Arch Appl Mech

Author:

Ecsedi István,Baksa Attila^ORCID

Abstract

AbstractThe Saint-Venant torsion of cylindrical orthotropic homogeneous linearly elastic bar is considered. The cross section of the bar is bounded by two straight lines and a curved arc. The geometry of the boundary curve of cross section depends on the shear moduli of the cylindrical orthotropic bar. An analytical method is presented to obtain the Prandtl’s stress functions, warping function, shearing stresses and the torsional rigidity.

Funder

University of Miskolc

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering

Link

https://link.springer.com/content/pdf/10.1007/s00419-023-02370-y.pdf

Reference18 articles.

1. de Saint-Venant, A.J.C.B.: Mémoire sur la torsion des prismes. Mémoires présentés par divers savants á l’Académie des sciences. Mém. de l’Acad. Savants étrangers 14, 233–560 (1855)

2. de Saint-Venant, A.J.C.B.: Mémoire sur les divers genres d’homogénéité des corps solides, et principalement sur l’homogénéité semi-polaire ou cylindrique, et sur les homogénéités polaires ou sphériconique et sphérique. J. de Mathématiques Pures et Appliquées. 2(10), 297–349 (1865)

3. Lekhnitskii, S.G.: Theory of Elasticity of an Anisotropic Elastic Body. MIR Publishers, Moscow (1981)

4. Lekhnitskii, S.G.: Torsion of Anisotropic and Non-homogeneous Bars. Izd. Nauka, Fiz-Mat. Literaturi, Moscow (1971). (in Russian)

5. Sarkisyan, V.S.: Some Problems of the Matematical Theory of Elasticity of an Anisotropic Body. Izd. Erevan University Press, Yerevan (1976)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Galerkin-Kantorovich variational method for solving saint venant torsion problems of rectangular bars;Journal of Mechanical Engineering, Automation and Control Systems;2024-02-22