GUO Jun-hong, LIU Guan-ting. Analytic Solutions of Problem About an Elliptic Hole With Two Straight Cracks in One-Dimensional Hexagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2008, 29(4): 439-446.
Citation: GUO Jun-hong, LIU Guan-ting. Analytic Solutions of Problem About an Elliptic Hole With Two Straight Cracks in One-Dimensional Hexagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2008, 29(4): 439-446.

Analytic Solutions of Problem About an Elliptic Hole With Two Straight Cracks in One-Dimensional Hexagonal Quasicrystals

  • Received Date: 2007-01-24
  • Rev Recd Date: 2008-03-06
  • Publish Date: 2008-04-15
  • By means of the complex variable function method and using the technique of conformal mapping,the anti-plane shear problem about an elliptic hole with two straight cracks in one-dimen-sional hexagonal quasicrystals was investigated and the solution of the stress intensity factor(SIFs) of mode ó was found out.Under the condition of limitation,not only the known result can be obtained but also the solutions of the SIFs at the crack tip to a circular hole with two straight cracks and a cross crack in one-dimensional hexagonal quasicrystals are found out.
  • loading
  • [1]
    王仁卉,胡承正,桂嘉年.准晶物理学[M].北京: 科学出版社,2004.
    [2]
    范天佑.断裂理论基础[M].北京:科学出版社,2003.
    [3]
    刘官厅.准晶弹性的复变方法与非线性发展方程的显式解[M].呼和浩特:内蒙古人民出版社,2005.
    [4]
    董闯.准晶材料[M].北京:国防工业出版社,1998,58-175.
    [5]
    DING Di-hua,YANG Wen-ge,HU Cheng-zheng,et al.Linear elasticity theory of quasicrystals and defects in quasicrystals[J].Mater Sci Fourum,1994,150/151:345-354. doi: 10.4028/www.scientific.net/MSF.150-151.345
    [6]
    DING Di-hua,YANG Wen-ge,HU Cheng-zheng,et al.Generalized elasticity theory of quasicrystals[J].Phys Rev B,1993,48(10):7003-7010. doi: 10.1103/PhysRevB.48.7003
    [7]
    丁棣华,王仁卉,杨文革,等.准晶的弹性、塑性与位错[J].物理学进展,1998,18(3):223-260.
    [8]
    LIU Guan-ting,FAN Tian-you,GUO Rui-ping.Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals[J].Internat J Solids and Structures,2004,41(14):3949-3959. doi: 10.1016/j.ijsolstr.2004.02.028
    [9]
    PENG Yan-ze,FAN Tian-you.Perturbation theory of 2D decagonal quasicrystals[J].Physica B,2002,311(3/4):326-330. doi: 10.1016/S0921-4526(01)00611-1
    [10]
    FAN Tian-you.A study on the specific heat of a one-dimendional quasicrystal[J].J Phys Condensed Matter,1991,11(45):L513-L517.
    [11]
    FAN Tian-you,LI Xian-fang,SUN Ying-fei.A moving screw dislocation in a one-dimensional hexagonal quasicrystals[J].Acta Phys Sinica(Overseas Edition),1999,8(4):288-295. doi: 10.1088/1004-423X/8/4/007
    [12]
    范天佑.准晶数学弹性理论及应用[M.]. 北京:北京理工大学出版社,1999.
    [13]
    皮建东,刘官厅,郭怀民.一维六方准晶狭长体中共线裂纹问题的精确解[J].内蒙古师范大学学报(自然科学汉文版),2006,35(4):391-396.
    [14]
    LI Xian-fang,FAN Tian-you.A straight dislocation in one dimensional hexagonal quasicrystals[J].Phys Stat B,1999,212(1):19-26. doi: 10.1002/(SICI)1521-3951(199903)212:1<19::AID-PSSB19>3.0.CO;2-O
    [15]
    LIU Guan-ting,GUO Rui-ping,FAN Tian-you.On the interaction between dislocations and cracks in one-dimensional hexagonal quasicrystals[J].Chinese Physics,2003,2(10):1149-1155.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2659) PDF downloads(796) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return