Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers

doi:10.1007/s10483-016-2028-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (2): 237-252.doi: https://doi.org/10.1007/s10483-016-2028-8

Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers

H. TEIMOORI¹, R. T. FAAL², R. DAS³

1. Department of Mathematics and Computer Science, Allameh Tabatabai University, Tehran 15136-15411, Iran;
2. Faculty of Engineering, University of Zanjan, Zanjan 45371-38791, Iran;
3. Department of Mechanical Engineering and Centre for Advanced Composite Materials, University of Auckland, Auckland 1010, New Zealand

收稿日期:2015-03-18 修回日期:2015-08-01 出版日期:2016-02-01 发布日期:2016-02-01
通讯作者: R. DAS E-mail:r.das@auckland.ac.nz

Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers

H. TEIMOORI¹, R. T. FAAL², R. DAS³

1. Department of Mathematics and Computer Science, Allameh Tabatabai University, Tehran 15136-15411, Iran;
2. Faculty of Engineering, University of Zanjan, Zanjan 45371-38791, Iran;
3. Department of Mechanical Engineering and Centre for Advanced Composite Materials, University of Auckland, Auckland 1010, New Zealand

Received:2015-03-18 Revised:2015-08-01 Online:2016-02-01 Published:2016-02-01
Contact: R. DAS E-mail:r.das@auckland.ac.nz

摘要/Abstract

摘要：

This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropic layers with different materials of the original substrate that are perfectly bonded to the bar. With the Saint-Venant torsion theory, the governing equation of the problem in terms of the warping function is established and solved using the finite Fourier cosine transform. The state of stress on the cross-section, warping of the cross-section, and torsional rigidity of the bar are evaluated. Effects of thickness of the coating layers and material properties on these quantities are investigated. A set of graphs are provided that can be used to determine the coating thicknesses and material properties so as to keep the maximum von Mises stress on the cross-section below an allowable value for effective use of the coating layer.

关键词: rectangular cross-section, coating layer, torsional rigidity, Saint-Venant torsion

Abstract:

Key words: coating layer, torsional rigidity, Saint-Venant torsion, rectangular cross-section

中图分类号:

H. TEIMOORI, R. T. FAAL, R. DAS. Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(2): 237-252.

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Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers

Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers

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