Shechtman D, Blech I, Gratias D, Cahn J W. Metallic phase with long-range orientational order and no translational symmetry [J]. Physical Review Letters, 1984, 53(20): 1951―1953.
[2]
Meng X M, Tong B Y, Wu Y K. Mechanical behaviour of Al65Cu20Co15 quasicrystal [J]. Acta Metal Sinica, 1994, 30(1): 61―64.
[3]
De P, Pelcovits A. Linear elasticity theory of pentagonal quasicrystals [J]. Physical Review B, 1987, 35(16): 8609―8620.
[4]
Li X F, Fan T Y, Sun Y F. A decagonal quasicrystal with a Griffith crack [J]. Philosophical Magazine A, 1999, 79(8): 1943―1952.
[5]
Hu C Z, Wang R H, Ding D H. Symmetry groups, physical property tensors, elasticity and dislocation in quasicryatal [J]. Reports on Progress in Physics, 2000, 63(1): 1―39.
[6]
Peng Y Z, Fan T Y. Perturbative method for solving elastic problems of one-dimensional hexagonal quasicrystals [J]. Journal of Physics: Condensed Matter, 2001, 13(18): 4123―4128.
[7]
Fan T Y, Mai Y W. Elasticity theory, fracture mechanics, and some relevant thermal properties of quasi-crystalline materials [J]. Applied Mechanics Review, 2004, 57(5): 325―343.
[8]
Guo J H, Lu Z X. Exact solution of four cracks originating from an elliptical hole in one-dimensional hexagonal quasicrystals [J]. Applied Mathematics and Computation, 2011, 217(22): 9397―9403.
Liu Guanting, Feng Zhonghua. Half-inverse method for the anti-plane problem of one-dimensional orthorhombic quasicrystals with elliptical hole [J]. Engineering Mechanics, 2013, 30(2): 38―43. (in Chinese)
[11]
Li W. Analytic solutions to a finite width strip with a single edge crack of two dimensional quasicrystals [J]. Chinese Physics B, 2011, 20(11): 1―8.
[12]
Li L H, Fan T Y. Stress potential function formulation and complex variable function method for solving the elasticity of quasicrystals of point group 10 and the exact solution for the notch problem [J]. Journal of Physics: Condensed Matter, 2006, 18(47): 10631―10641.
[13]
Gao Y, Ricoeur A, Zhang L. Plane problems of cubic quasicrystal media with an elliptic hole or a crack [J]. Physics Letters A, 2011, 375(28/29): 2775―2781.
[14]
Muskhelishvili N I. Some basic problems of mathematical theory of elasticity [M]. Noordhoff Groningen, 1963: 123―132.
[15]
Chernikov M A, Ott H R, Bianchi A, Migliori A, Darling T W. Elastic moduli of a single quasicrystal of decagonal Al-Ni-Co: evidence for transverse elastic isotropy [J]. Physical Review Letters, 1998, 80(2): 321―324.
[16]
Jeong H C, Steinhardt P J.Finite-temperature elasticity phase transition in decagonal quasicrystals [J]. Physical Review B, 1993,48(13): 9394―9403.
[17]
Mikulla R, Gumbsch P, Trebin H R. Molecular dynamics simulations of crack propagation in quasicrystals [J]. Philosophical Magazine Letters, 1998, 78(8): 369―375.
