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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 6/2017

04-01-2017 | Original

Thick isotropic curved tubes: three-dimensional stress analysis

Authors: H. Yazdani Sarvestani, A. H. Akbarzadeh

Published in: Archive of Applied Mechanics | Issue 6/2017

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Abstract

While the structural analysis of straight beams is straightforward, the behavior of curved beams is more complex to predict. In the present work, a displacement approach of toroidal elasticity is used to analyze thick isotropic curved tubes subjected to axial load, torque, and bending moment. The governing equations are developed in a toroidal coordinate. The method of successive approximation is used to obtain the general solution. The accuracy of the present methodology is tested comparing the numerical results with those obtained by finite element method (FEM) and stress-based toroidal elasticity (SBTE). The proposed methodology is computationally cost-effective, and its results reveal good agreements with FEM and SBTE results. Finally, several numerical examples of stress distributions in thick isotropic curved tubes under axial load, torque, and bending moment are presented. By using the present methodology, displacements as well as stresses are obtained which are important information for fracture analysis.
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Appendix
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Metadata
Title
Thick isotropic curved tubes: three-dimensional stress analysis
Authors
H. Yazdani Sarvestani
A. H. Akbarzadeh
Publication date
04-01-2017
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 6/2017
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-016-1223-8

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