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saint-venant torsion analysis of bars with rectangular cross-section and effective coating layers

Applied Mathematics and Mechanics(English Edition) 2016年第2期37卷 237-252页

作者： H.TEIMOORI R.T.FAAL R.DAS Department of Mathematics and Computer Science Allameh Tabatabai University Faculty of Engineering University of Zanjan Department of Mechanical Engineering and Centre for Advanced Composite Materials University of Auckland

This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropie 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： saint-venant torsion rectangular cross-section coating layer torsional rigidity

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NEW BOUNDARY ELEMENT METHOD FOR torsion PROBLEMS OF CYLINDER WITH CURVILINEAR CRACKS

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Applied Mathematics and Mechanics(English Edition) 2005年第12期26卷 1531-1538页

作者：王银邦陆孜子 College of Engineering Ocean University of China

The saint-venant torsion problems of a cylinder with curvilinear cracks were considered and reduced to solving the boundary integral equations only on cracks. Using the interpolation models for both singular crack tip elements and other crack linear elements, the boundary element formulas of the torsion rigidity and stress intensity factors were given. Some typical torsion problems of a cylinder involving a straight, kinked or curvilinear crack were calculated. The obtained results for the case of straight crack agree well with those given by using the Gauss-Chebyshev integration formulas, which demonstrates the validity and applicability of the present boundary element method.

关键词： saint-venant torsion curvilinear crack boundary integral equation boundary element stress intensity factor

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