ZHOU Wang-min, FAN Tian-you, YIN Shu-yuan. Crack Problem Under Shear Loading in Cubic Quasicrystal[J]. Applied Mathematics and Mechanics, 2003, 24(6): 637-643.
Citation: ZHOU Wang-min, FAN Tian-you, YIN Shu-yuan. Crack Problem Under Shear Loading in Cubic Quasicrystal[J]. Applied Mathematics and Mechanics, 2003, 24(6): 637-643.

Crack Problem Under Shear Loading in Cubic Quasicrystal

  • Received Date: 2001-05-08
  • Rev Recd Date: 2003-02-19
  • Publish Date: 2003-06-15
  • The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. Based on the work, the analytic solutions of elastic field of cubic quasicrystal with a penny-shaped crack under the shear loading are found, and the stress intensity factor and strain energy release rate are determined.
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  • [1]
    Shechtman D,Blech I,Gratias D,et al.Metallic phase with long-range orientational order and no translational symmetry[J].Phys Rev Lett,1984,53(20):1951-1953.
    [2]
    郭可信.五次对称与准晶态[J].物理,1986,14(8):449-451.
    [3]
    ZHOU Wang-min,FAN Tian-you.Axisymmetric elasticity problem of cubic quasicrystal[J].Chin Phys,2000,9(4):294-303.
    [4]
    Ding D H,Yang W G,Hu C Z,et al.Generalized elasticity theory of quasicrystals[J].Phys Rev B,1993,48(10):7003-7010.
    [5]
    Yang W G,Wang R H,Ding D H,et al.Linear elasticity theory of cubic quasicrystals[J].Phys Rev B,1993,48(10):6999-7002.
    [6]
    De P,Pelcovits R A.Linear elasticity theory of pentagonal quasicrystals[J].Phys Rev B,1987,35(13):8609-8619.
    [7]
    De P,Pelcovits R A.Disclinations in pentagonal quasicrystals[J].Phys Rev B,1987,36(17):9304-9307.
    [8]
    LI Xian-fang,FAN Tian-you.New method for solving elasticiy problems of some planar quasicrystals and solutions[J].Chinese Phys Lett,1998,15(4):278-280.
    [9]
    LI X F,Dun X Y,Fan T Y,et al.Elastic field for a straight dislocation in a decagonal quasicrystal[J].J Phys Condens Matter,1999,11(3):703-711.
    [10]
    FAN Tian-you,LI Xian-fang,SUN Ying-fei.A moving screw dislocation in one-dimensional hexagonal quasicrystals[J].Acta Physica Sinica(Overseas Edition),1999,8(4):288-295.
    [11]
    ZHOU Wang-min,FAN Tian-you.Plane elasticity problem of two-dimensional octagonal quasicrystals and crack problem[J].Chin Phys,2001,10(8):294-303.
    [12]
    范天佑.断裂力学基础[M].南京:江苏科技出版社,1978.
    [13]
    孟祥敏,佟百运,吴玉琨.Al65Cu20Co15准晶体的力学性能[J].金属学报,1994,30(1):61-64.
    [14]
    Grriffith A A.The phenomenon of rupture and flow in solids[J].Philos Trans Roy Soc, Ser A,1920,221:163-197.
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