https://doi.org/10.1007/s100510170210
Crack and indentation problems for one-dimensional hexagonal quasicrystals
Department of Physics, School of Science and Technology, Beijing Institute of Technology,
PO Box 327, Beijing 100081, PR China
Corresponding author: a sdwxl@263.net
Received:
6
October
2000
Published online: 15 May 2001
In this paper we develop a general method to solve elastic three-dimensional problems for one-dimensional hexagonal quasicrystals with point groups 6mm,
, 
and 6/mmm, including crack and indentation problems. Exact solutions are obtained by using Fourier series and Hankel transform methods. These results automatically reduce to those in the classical elasticity theory when the phason field is absent.
PACS: 61.44. Br – Quasicrystals
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
