Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-10T06:52:04.742Z Has data issue: false hasContentIssue false
  • English
  • Français

Laminated Tubes under Extension, Internal and External Pressure

Published online by Cambridge University Press:  13 March 2014

W.-D. Tseng ,
J.-Q. Tarn  and
J.-H. Chang
W.-D. Tseng*
Affiliation:
Department of Construction Engineering, Nan Jeon University of Science and Technology, Tainan, Taiwan 73746, R.O.C.
J.-Q. Tarn
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
J.-H. Chang
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*wdtseng@mail.nju.edu.tw
Get access

Abstract

An exact analysis of deformation and stress field in a laminated elastic tube under extension and uniform pressuring is presented. The problem of finite laminated tube is considered with emphasis on the end effect. The problem is formulated on the basis of the state space formalism for axisymmetric deformation of transversely isotropic layer. The transfer matrix transmits the state vector in radial direction from inner surface to outer surface and takes into account the interfacial continuity and lateral boundary conditions in a rigorous manner. Upon delineating the symplectic orthogonality relations of the eigenvectors and by using eigenfunction expansion, an exact solution which satisfies the end conditions is determined. The results show that the end effect is significant but confined to a local region near the base where the displacement and stress distributions are remarkably different from those according to the simplified solutions that only satisfy lateral BC.

Keywords

State space approachLaminated tubeTransfer matrixEnd effects
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 5 , October 2014 , pp. 455 - 466
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow (1981).Google Scholar
2.Tarn, J. Q. and Wang, Y. M., “Laminated Composite Tubes Under Extension, Torsion, Bending, Shearing and Pressuring: A State Space Approach,” International Journal of Solids and Structure, 38, pp. 9053–9075 (2001).Google Scholar
3.Tarn, J. Q., “A State Space Formalism for Anisotropic Elasticity, Part II: Cylindrical Anisotropy,” International Journal of Solids and Structures, 39, pp. 5157–5172 (2002).Google Scholar
4.Tarn, J. Q., Tseng, W. D. and Chang, H. H., “A Circular Elastic Cylinder Under its Own Weight,” International Journal of Solids and Structures, 46, pp. 2886–2896 (2009).Google Scholar
5.Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, 3rd Edition, McGraw-Hill, New York (1970).Google Scholar
6.Hildebrand, F. B., Advanced Calculus for Applications, 2nd Edition, Prentice-Hall, Englewood Cliffs, New Jersey (1976).Google Scholar
7.Zhong, W. X., A New Systematic Methodology for Theory of Elasticity (in Chinese), Dalian University of Technology Press, Dalian, China (1995).Google Scholar