HOU Peng-fei, DING Hao-jiang, LEUNG Andraw-yt. Three-Dmensional Interactions of a Circular Crack in a Transversely Isotropic Piezoelectric Space With Resultant Sources[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1261-1270.
Citation: HOU Peng-fei, DING Hao-jiang, LEUNG Andraw-yt. Three-Dmensional Interactions of a Circular Crack in a Transversely Isotropic Piezoelectric Space With Resultant Sources[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1261-1270.

Three-Dmensional Interactions of a Circular Crack in a Transversely Isotropic Piezoelectric Space With Resultant Sources

  • Received Date: 2005-08-16
  • Rev Recd Date: 2006-08-05
  • Publish Date: 2006-11-15
  • Exact solutions in form of elementary functions were derived for the stress and electric displacement intensity factors of a circular crack in a transversely isotropic piezoelectric space interacting with various stress and charge sources:force dipoles,electric dipoles,moments,force dilatation and rotation.The circular crack includes penny-shaped crack and external circular crack and the locations and orientations of these resultant sources with respect to the crack are arbitrary.Such stress and charge sources may model defects like vacancies,foreign particles,and dislocations.Numerical results are presented at last.
  • loading
  • [1]
    Sosa H A,Pak Y E.Three-dimensional eigenfunction analysis of a crack in a piezoelectric material[J].Internat J Solids and Structures,1990,26(1):1—15. doi: 10.1016/0020-7683(90)90090-I
    [2]
    Pak Y E.Linear electro-elastic fracture mechanics of piezoelectric materials[J].Internat J Fracture,1992,54(1):79—100. doi: 10.1007/BF00040857
    [3]
    Wang B.Three-dimensional analysis of a flat elliptical crack in a piezoelectric material[J].Internat J Engng Sci,1992,30(6):781—791. doi: 10.1016/0020-7225(92)90107-R
    [4]
    Kogan L,Hui C- Y,Molkov V.Stress and induction field of a spheroidal inclusion or a penny-shaped crack in a transversely isotropic piezoelectric material[J].Internat J Solids and Structures,1996,33(19):2719—2737. doi: 10.1016/0020-7683(95)00182-4
    [5]
    Huang J H A.Fracture criterion of a penny-shaped crack in transversely isotropic piezoelectric media[J].Internat J Solids and Structures,1997,34(20):2631—2644. doi: 10.1016/S0020-7683(96)00160-6
    [6]
    Chen W Q.Exact solution of a semi-infinite crack in an infinite piezoelectric body[J].Arch Applied Mechanics,1999,69(5):309—316. doi: 10.1007/s004190050222
    [7]
    胡玉林,侯密山.各向异性压电材料平面裂纹的耦合分析[J].固体力学学报,2000,21(4):325—329.
    [8]
    王旭,沈亚鹏.三相压电复合本构模型中的弧形界面裂纹[J].固体力学学报,2001,22(4):329—345.
    [9]
    HOU Peng-fei,DING Hao-jiang,Guan F L.Exact solution to the problem of a half-plane crack in a transversely isotropic piezoelectric body subjected to antisymmetric tangential point forces[J].Acta Mechanica Solida Sinica A,2001,14(2):176—182.
    [10]
    Chen W Q,Shioya T S.Fundamental solution for a penny-shaped crack in a piezoelectric medium[J].J Mechanics and Physics of Solids,1999,47(7):1459—1475. doi: 10.1016/S0022-5096(98)00114-8
    [11]
    Chen W Q,Shioya T S.Complete and exact solutions of a penny-shaped crack in a piezoelectric solid: antisymmetric shear loadings[J].Internat J Solids and Structures,2000,37(18):2603—2619. doi: 10.1016/S0020-7683(99)00113-4
    [12]
    Chen W Q,Shioya T S.Green's functions of an external circular crack in a transversely isotropic piezoelectric medium[J].JSME International Journal,Ser A,1999,42:73—79. doi: 10.1299/jsmea.42.73
    [13]
    Chen W Q,DING Hao-jiang,HOU Peng-fei.Exact solution of an external circular crack in a piezoelectric solid subjected to shear loading[J].Journal of Zhejiang University (Science),2001,2(1):9—14. doi: 10.1631/jzus.2001.0009
    [14]
    DING Hao-jiang,Chen W Q.Three Dimensional Problems of Piezoelectricity[M].New York: Nova Science Publishers, 2001.
    [15]
    Wang J W,Kuang Z B.The interaction between crack and dipole of piezoelectricity[J].Acta Mechanica Solida Sinica A,2000,13(4):1—7.
    [16]
    HOU Peng-fei,Pan X P,DING Hao-jiang.Three-dimensional interactions of a half-plane crack in a transversely isotropic piezoelectric space with resultant sources[J].Acta Mechanica Solida Sinica A,2005,18(3):265—271.
    [17]
    Dunn M L,Taya M.Electroelastic field concentrations in and around inhomogenetties in piezoelectric solids[J].ASME J Appl Mech,1994,61(2):474—475. doi: 10.1115/1.2901471
  • 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 (2649) PDF downloads(526) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return