1 Shechtman D, Blech I, Gratias D, et al. Metallic phase with long-range orientational order and no translational symmetry. Phys. Rev. Lett., 1984, 53(20): 1951-1953
|
2 Ye H Q, Wang D, Kuo K H. Five-fold symmetry in real and reciprocal space. Ultramicrossopy, 1985, 16(2): 273-277
|
3 Zhang Z, Ye H Q, Kuo K H. A new icosahedral phase with m35 symmetry. Phil. Mag. A, 1985, 52(6): L49-L52
|
4 Landau L D, Lifshitz M E. Theoretical Physics V: Statistical Physics, 3rd Edition, Pergamon Press, Oxford. 1980
|
5 Anderson P W. Basic Notations of Condensed Matter Physics, Menlo Park: Benjamin-Cummings, 1984
|
6 Einstein A. Die plackschen theorie der strahlung und die theorie der spezifischen waerme. Ann. d. Phys., 1907,22(4): 180-190
|
7 Debye P. Die Eigentuemlichkeit der spezifischen waermen bei tiefen temperaturen. Arch de Gen eve, 1912, 33(4):256-258
|
8 Born M, von Kármán Th. Zur theorie der spezifischen waermen. Physikalische Zeitschrift, 1913, 14(1): 15-19 Born M, Huang K. Dynamic Theory of Crystal Lattices, Clarendon Press, Oxford. 1954
|
9 Blinc B, Lavanyuk A P. Incommensurate Phases in Dielectrics I, II,. Amsterdam: North Holand, 1986
|
10 Penrose R. The role of aesthetics in pure and applied mathematical research. Bull. Inst. Math. Appl., 1974,10: 266-271
|
11 Bak P. Phenomenological theory of icosahedral incommensurate (“quaisiperiodic”) order in Mn-Al alloys. Phys. Rev. Lett., 1985, 54(8): 1517-1519
|
12 Bak P. Symmetry, stability and elastic properties of icosahedral incommensurate crystals. Phys. Rev. B, 1985,32(9): 5764-5772
|
13 Levine D, Lubensky T C, Ostlund S, et al. Elasticity and dislocations in pentagonal and icosahedral quasicrystals. Phys. Rev. Lett., 1985, 54(8): 1520-1523
|
14 Lubensky T C, Ramaswamy S, Toner J. Hydrodynamics of icosahedral quasicrystals. Phys. Rev. B, 1985, 32(11):7444-7452
|
15 Lubensky T C, Ramaswamy S, Toner J. Dislocation motion in quasicrystals and implications for macroscopic properties. Phys. Rev. B, 1986, 33(11): 7715-7719
|
16 Lubensky T C, Socolar J E S, Steinhardt P J, et al. Distortion and peak broadening in quasicrystal diffraction patterns. Phys. Rev. Lett., 1986, 57(12): 1440-1443
|
17 Lubensky T C. Introduction to Quasicrystals, Boston: Academic Press, 1988
|
18 Kalugin P A, Kitaev A, Levitov L S. 6-dimensional properties of Al0:86Mn0:14 alloy. J. Phys. Lett., 1985, 46(13):601-607
|
19 Torian S M, Mermin D. Mean-field theory of quasicrystalline order. Phys. Rev. Lett., 1985, 54(14): 1524-1527
|
20 Jaric M V. Long-range icosahedral orientational order and quasicrystals. Phys. Rev. Lett., 1985, 55(6): 607-610
|
21 Duneau M, Katz A. Quasiperiodic patterns. Phys. Rev. Lett., 1985, 54(25): 2688-2691
|
22 Socolar J E S, Lubensky T C, Steinhardt P J. Phonons, phasons, and dislocations in quasicrystals. Phys. Rev. B,1986, 34(5): 3345-3360
|
23 Gahler F, Rhyner J. Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings. J. Phys. A: Math. Gen., 1986, 19(2): 267-277
|
24 Ding D H, Yang W G, Wang R H, et al. Generalized elasticity theory of quasicrystals. Phys. Rev. B, 1993, 48(10):7003-7010
|
25 Janssen T. The symmetry operations for n-dimensional periodic and quasi-periodic structures. Zeitschrift fuer Kristall, 1992, 198(1): 17-32
|
26 Yang W G, Ding D H, Wang R H, et al. Phys. Rev. B,1994, 49: 12616-12621
|
27 Hu C Z, Wang R H, Ding D H. Rezoelectric effects in quasicrystals. Phys. Rev. B, 1997, 56: 2463-2468
|
28 Hu C Z, Wang R H, Ding D H. Symmetry groups physical property tensors, elastricity and disolcations in quasicrystals. Rep Prog Phys, 2000, 63(1): 1-39
|
29 Reynolds G A M, Golding B, Kortan A R, et al. Isotropic elasticity of the Al-Cu-Li quasicrystal. Phys. Rev. B,1990, 41(2): 1194-1195
|
30 Spoor P S, Maynard J D, Kortan A R. Elastic isotropy and anisotropy in quasicrystalline and cubic AlCuLi. Phys. Rev. Lett., 1995, 75(19): 3462-3465
|
31 Tanaka K, Mitarai, Koiwa M. Elastic constants of Albased icosahedral quasicrystals. Phil. Mag. A, 1996,73(6): 1715-1723
|
32 Duquesne J Y, Perrin B. Elastic wave interaction in icosahedral AlPdMn. Physics B, 2002. 316: 317-320
|
33 Foster K, Leisure R G, Shaklee A, et al. Elastic moduli of a Ti-Zr-Ni icosahedral quasicrystal and a 1/1 bcc crystal approximant. Phys. Rev. B, 1999, 59(17): 11132-11135
|
34 Schreuer J, Steurer W, Lograsso T A, et al. Elastic properties of icosahedral i-Cd84Yb16 and hexagonal h-Cd51Yb14. Phil. Mag. Lett., 2004, 84(10): 643-653
|
35 Sterzel R, Hinkel C, Haas A, et al. Ultrasonic measurements on FCI Zn-Mg-Y single crystals. Europhys. Lett.,2000, 49(6): 742-747
|
36 Letoublon A, de Boissieu M, Boudard M, et al. Phason elastic constants of the icosahedral Al-Pd-Mn phase derived from diffuse scattering measurements. Phil. Mag. Lett., 2001, 81(4): 273-283
|
37 de Boissieu M, Francoual S, Kaneko Y, et al. Diffuse scattering and phason fluctuations in the Zn-Mg-Sc icosahedral quasicrystal and its Zn-Sc periodic approximant. Phys. Rev. Lett., 2005, 95(10): 105503/1-4
|
38 Edagawa K, So GI Y. Experimental evaluation of phononphason coupling in icosahedral quasicrystals. Phil. Mag.,2007, 87(1): 77-95
|
39 Chernikov M A, Ott H R, Bianchi A, et al. Elastic moduli of a single quasicrystal of decagonal Al-Ni-Co: evidence for transverse elastic isotropy. Phys. Rev. Lett., 1998,80(2): 321-324
|
40 Jeong H C, Steinhardt P J. Finite-temperature elasticity phase transition in decagonal quasicrystals. Phys. Rev. B, 1993, 48(13): 9394-9403
|
41 Love A E H. A Treatise on the Mathematical Theory of Elasticity, 4th Edition, New York: Dover. 1944
|
42 Courant R, Hilbert D. Mathematical Physics Method, New York: Interscience, 1954
|
43 范天佑. 准晶数学弹性理论及应用. 北京: 北京理工大学出版社, 1999
|
44 Fan T Y. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Beijing: Science Press/Heidelberg: Springer-Verlag, 2010
|
45 Peng Y Z, Fan T Y. Elastic theory of 1D quasiperiodic stacking of 2D crystals. J. Phys.: Condens. Matter, 2000,12(45): 9381-9387
|
46 Liu G T, Fan T Y, Guo R P. Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals. Int. J. Solid and Structures, 2004, 41(14):3949-3959
|
47 Chen W Q, Ma Y L, Ding H J. On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies. Mech. Res. Commun., 2004, 31(5): 633-641
|
48 Wang X. The general solution of one-dimensional hexagonal quasicrystal. Appl. Math. Mech., 2006, 33(4): 576-580
|
49 Gao Y, Zhao Y T, Zhao B S. Boundary value problems of holomorphic vector functions in one-dimensional hexagonal quasicrystals. Physica B, 2007, 394(1): 56-61
|
50 Li X F, Fan T Y. New method for solving elasticity problems of some planar quasicrystals and solutions. Chin. Phys. Letter., 1998, 15(4): 278-280
|
51 Li X F, Fan T Y, Sun Y F. A decagonal quasicrystal with a Griffith crack. Phil Mag A, 1999, 79(8): 1943-1952
|
52 Li X F, Fan T Y, Sun Y F. Elastic field for a straight dislocation in a decagonal quasicrystal. J Phys.: Condens Matter, 1999, 11(3): 703-711
|
53 Guo Y C, Fan T Y. Mode II Griffith crack in decagonal quasicrystals. Appl. Math. Mech., English Edition. 2001,22(10): 1311-1317
|
54 Zhou W M, Fan T Y. Axisymmetric elasticity problem of cubic quasicrystal. Chinese Physics B, 2000, 9(4): 294-303
|
55 Zhou W M, Fan T Y. Plane elasticity and crack problem of octagonal quasicrystals. Chin. Phys., 2001, 10(6):277-284
|
56 Fan T Y, Guo L H. Final governing equation of plane elasticity of icosahedral quasicrystals. Phys. Lett. A, 2005,341(5): 235-239
|
57 Li L H, Fan T Y. Final governing equation of plane elasticity of icosahedral quasicrystals-stress potential method. Chin. Phys. Lett., 2006, 24(9): 2519-2521
|
58 De P, Pelcovits R A. Linear elasticity theory of pentagonal quasicrystals. Phys. Rev. B, 1987, 35(16): 8609-8620
|
59 Ding D H, Wang R H, Yang W G, et al. General for the elastic displacement fields induced by dislocations in quasicrystals. J. Phys: Condens Matter, 1995, 7(28): 5423-5436
|
60 Ding D H, Wang R H, Yang W G, et al. Elasticity theory of straight dislocations in quasicrystals. Phil. Mag. Lett.,1995, 72(2): 352-359
|
61 杨顺华, 丁棣华. 晶体位错理论, 第2卷. 北京: 科学出版社,1998
|
62 Yang W G, Ding D H, Feuerbacher U, et al. Atomtic model of dislocation in Al-Pd-Mn icosahedral quasicrystals. Phil. Mag. A, 1998, 77(6): 1481-1497
|
63 Zhu A Y, Fan T Y, Guo L H. A straight dislocation in an icosahedral quasicrystal. J. Phys.: Condens. Matter,2007, 19(23): 236216
|
64 Zhu A Y, Fan T Y. Elastic analysis of a Griffith crack in icosahedral Al-Pd-Mn quasicrystal. Int. J. Mod. Phys. B, 2009, 23(10): 1-16
|
65 Sneddon I N. Fourier Transforms. New York: McGrow-Hill, 1952
|