An analytical solution of the problem of a cylindrically anisotropic tube which contains a line dislocation is presented in this study. The state space formulation in conjunction with the eigenstrain theory is proved to be a feasible and systematic methodology to analyze a tube with the existence of dislocations. The state space formulation which expediently groups the displacements and the cylindrical surface traction can construct a governing differential matrix equation. By using Fourier series expansion and the well developed theory of matrix algebra, the asymmetrical solutions are not only explicit but also compact in form. The dislocation considered in this study is a kind of mixed dislocation which is the combination of edge dislocations and a screw dislocation and the dislocation line is parallel to the longitudinal axis of the tube. The degeneracy of the eigen relation and the technique to determine the inverse of a singular matrix are thoroughly discussed, so that the general solutions can be applied to the case of isotropic tubes, which is one of the novel features of this research. The results of isotropic problems, which are belong to the general solutions, are compared with the well-established expressions in the literature. The satisfied correspondences of these comparisons indicate the validness of this study. A cylindrically orthotropic tube is also investigated as an example and the numerical results for the displacements and tangential stress on the outer surface are displayed. The effects on surface stresses due to the existence of a dislocation appear to have a characteristic of localized phenomenon.
Skip Nav Destination
ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference
July 23–27, 2006
Vancouver, BC, Canada
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
0-7918-4754-3
PROCEEDINGS PAPER
Cylindrically Anisotropic Tubes Containing a Line Dislocation
Chung-Hao Wang
Chung-Hao Wang
National Formosa University, Taiwan, R.O.C.
Search for other works by this author on:
Chung-Hao Wang
National Formosa University, Taiwan, R.O.C.
Paper No:
PVP2006-ICPVT-11-93188, pp. 57-66; 10 pages
Published Online:
July 23, 2008
Citation
Wang, C. "Cylindrically Anisotropic Tubes Containing a Line Dislocation." Proceedings of the ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. Volume 3: Design and Analysis. Vancouver, BC, Canada. July 23–27, 2006. pp. 57-66. ASME. https://doi.org/10.1115/PVP2006-ICPVT-11-93188
Download citation file:
3
Views
0
Citations
Related Proceedings Papers
Related Articles
Frequency-Domain Identification of Linear Time-Periodic Systems Using LTI Techniques
J. Comput. Nonlinear Dynam (October,2009)
Single-Edge and Double-Edge Cracks in a Fully Anisotropic Strip
J. Eng. Mater. Technol (October,1999)
Three-Dimensional Green’s Functions in Anisotropic Elastic Bimaterials With Imperfect Interfaces
J. Appl. Mech (March,2003)
Related Chapters
Fatigue Analysis in the Connecting Rod of MF285 Tractor by Finite Element Method
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
Comparison between Three Approaches for Solving Biped Robot Walking Problem Based on Truncated Fourier Series
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Structural Performance of Thermo-Active Foundations
Thermoactive Foundations for Sustainable Buildings