Journal of Science and Technology of Composites

Journal of Science and Technology of Composites

Stress analysis of single-lap bonded joints in composite tubes under torsion and hygrothermal effects using DQM

Document Type : Research Paper

Authors
Mohammad Mansour Mohieddin Ghomshei
Reza Shahi
Department of Mechanical Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
10.22068/jstc.2018.23927
Abstract
In this research, adhesively tubular single lap joints subjected to torsional and hygrothermal loadings are studied using the Differential Quadrature Method (DQM), in which the lateral deflections are taken into account. The analysis is based on the linear cylindrical shell theory. At first, governing differential equations of the tubes and the interfacing adhesive layer are expressed in terms of the displacement field components. The total structure is divided into the overlapping and non-overlapping areas. The differential equations of the overlapping area which do not have closed form solution, are discretized by implementing the DQM. Then, the equations of the total areas are solved simultaneously regarding their boundary and continuity equations, to find the circumferential and radial (lateral) displacements. Next, having known the displacement field components, the distribution of the peel and shear stresses in the interfacing adhesive are calculated. Results obtained from the presented DQM solutions are compared well with those of a published reference as well as those of an ABAQUS finite element model. Finally, using the DQM model, the influence of the adhesive layer thickness, the overlap length, and the changes in the temperature and relative humidity on the interfacing stress distributions are investigated.
Keywords
Composite tube
adhesively bonded joint
hygrothermal effects
Differential Quadrature Method (DQM)

Subjects

1-         
[1]  Volkersen O., “Recherchessur le theoric des assemblages colles. Construction Metallique”, Vol. 4, pp. 3–13, 1965.
[2]  Adams, R. D., Peppiatt, N. A., “Stress Analysis of Adhesive Bonded Tubular Lap Joints”, The Journal of Adhesion, Vol. 9, pp. 1–18, 1977.
[3]  Graves, S. R., Adams, D. F., “Analysis of a bonded joint in a composite tube subjected to torsion”, Journal of Composite Materials, Vol. 15, pp. 211–224, 1981.
[4]  Hipol P. J., “Analysis and Optimization of a Tubular Lap Joint Subjected to Torsion”, Journal of Composite Materials, Vol. 18, pp. 298–311, 1984.
[5]  Pugno N., Surace G., “Tubular bonded joint under torsion: theoretical analysis and optimization for uniform torsional strength”, Journal of Strain Analysis for Engineering Design, Vol. 36, No. 1, pp. 17-24, 2001.
[6]   Pugno N., Carpinteri A., Johnson H., “Tubular adhesive joints under axial load”, Journal of Applied Mechanics, Vol. 70, No. 6, pp. 34-41, 2004.
 [7]  Zou G. P., Taheri F., “Stress analysis of adhesively bonded sandwich pipe joints subjected to torsional loading”, International Journal of Solids and Structures,  Vol. 43, pp. 5953–5968, 2006.
[8]  Xu W., Li G., “Finite difference three-dimensional solution of stresses in adhesively bonded composite tubular joint subjected to torsion”, International Journal of Adhesion and Adhesive, Vol. 30, pp. 191–199, 2010.
[9] Varshoui Jajargh P., Tahani M., “Optimization of composite cylindrical bonded joints under extentional loading by numerical and experimental methods”, In Persian, 21st International Conference on Mechanical Engineering (ISME2013), Tehran, Iran, May 7-9, 2013.
[10]  Mohieddin Ghomshei M., Shahi R., “Stress Analysis of Tubular Bonded Joints under Torsion and Hygrothermal Effects Using DQM ”, SAMPE Europe conference 15, Amiens, France, 15th-17th Sept. 2015.
[11] Altenbach H., Altenbach J., Kissing W., “Mechanics of Composite   Structural  Elements ”, Springer, Berlin, 2004.
[12]   Gibson R. F., “principles of composite material mechanics 2nd Ed”, Taylor & Francis, 2007.
[13]  Wolff E. G., “Polymer Matrix Composites: Moisture Effects and Dimensional Stability”, International Encyclopedia of Composites, Vol. 4, pp. 279–323, 1991.
[14] Loos A. C., Springer G. S., “Effects of Thermal Spiking on Graphite-Epoxy Composites”, Journal of Composite Materials, Vol. 13 ,pp. 131–147, 1979.

[15] Bert C. W., Malik M., “Differential quadrature: a powerful new    technique for analysis of composite structures”, Composite Structures, Vol. 39, Issues 3–4, pp. 179-189, 1997.

 
Journal of Science and Technology of Composites
Volume 4, Issue 4
Winter 2018
Pages 375-385