Numerical Study of Dynamic Crack of 1D Hexagonal and 3D Icosahedral Quasicrystals

Article Preview

Abstract:

According to a new version of equations of elasodynamics of quasicrystals suggested by Ref, a finite difference method of the anti-plane elastic dynamic equations of 1D hexagonal and 3D icosahedral quasicrystals is developed. Further the dynamic behaviour of the material with a model III crack under impact loading is given.The results show dynamic stress intensity factor of the crack tip, in which the similar and different features with conventional materials are discussed, especially the phonon,phason and phonon-phason coupling effects are explored.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 734-737)

Pages:

2306-2309

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M.V. Jaric, Phys. Rev. Lett., 55, 607 (1985).

Google Scholar

[2] J.E.S. Socolar, T.C. Lubensky and P.J. Steinhardts, Phys. Rev. B, 34, 3345 (1986).

Google Scholar

[3] Hu C Z, Wang R and Ding D-H, Rep. Prog. Phys. 63 1(2000).

Google Scholar

[4] T. Y. Fan and Y.W. Mai, Eur. Phys. J. B., 31, 25 (2003).

Google Scholar

[5] T.Y. Fan and W.Y. Mai, Appl. Mech. Rev., 57, 325 (2004).

Google Scholar

[6] T.Y. Fan, Mathematical Theory of Elasticity of Quasicrystals and Its Applications (in Chinese), Beijing Institute of Technology Press, Beijing (1999).

Google Scholar

[7] Ai-Yu Zhu, Tian-You Fan, Jing Jing, Dynamic crack propagation in decagonal Al-Ni-Co quasicrystal, submitted to J. phys.: Condens. Matt., (2007)

DOI: 10.1088/0953-8984/20/29/295217

Google Scholar

[8] M. de Boisseu et al. Experimental study of the dynamics of icosahedral phases,Journal of Non-Crystalline Solids 334&335(2004) 303~307

DOI: 10.1016/j.jnoncrysol.2003.11.062

Google Scholar

[9] T.Y. Fan and A.Y. Zhu, Elastodynamics and defect dynamics of quasicrystals, Phil. Mag. Lett, 2006,submitted

Google Scholar

[10] T.Y. Fan and X.F. Li, Acta Phys. Sinica, 8, 288 (1999).

Google Scholar