The Interaction between a Dislocation and Circular Inhomogeneity in 1D Hexagonal Quasicrystals

Article Preview

Abstract:

The interaction between a dislocation and circular inhomogeneity in 1D hexagonal quasicrystals is investigated. By using the complex potential method, explicit solutions of complex potentials are obtained. The image force acting on the dislocation are also derived. The results show that the interface attracts the dislocation inside both the matrix and the inhomogeneity under most condition. The attraction increase with the increase of the elastic constant of phason field and the phonon-phason coupling elastic constant.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

429-434

Citation:

Online since:

October 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M. Ronchetti, Quasicrystals - an introduction overview, Philos. Mag. 56(1987), pp.237-249.

Google Scholar

[2] T.Y. Fan, The Mathematical Theory of Elaiticity of Quasicrystals and its Applications, Beijing Institute of Technology Press. (1999).

Google Scholar

[3] R. H. Wang, W. G. Yang, C. Z. Hu, et al, Point and space groups and elastic behavious of one dimensional quasicrystals J. Phys: Condensed Matter. 9(1997), pp.2411-2422.

Google Scholar

[4] H. L. Lian and T.Y. Fan, Exact solutions of two semi-infinite collinear cracks in a strip of one dimensional hexagonal quasicrystal, Applied Mathematics and Comutation (2007).

DOI: 10.1016/j.amc.2007.05.028

Google Scholar

[5] G.T. Liu, R.P. Gou, T.Y. Fan, Plane elasticity and dislocation of one-dimensional hexagonal quasicrystal with point group 6, Journal of Beijing Institute of Technology. 14(2005) 87-91.

Google Scholar

[6] N.I. Muskhelishvili, Some basic Problems of Mathematical Theory of Elasticity, Noordhoff, Groningen, (1963).

Google Scholar