HU Yuan-tai, LI Guo-qing, JIANG Shu-nong, HU Hong-ping, YANG Jia-shi. Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks[J]. Applied Mathematics and Mechanics, 2005, 26(8): 911-920.
Citation: HU Yuan-tai, LI Guo-qing, JIANG Shu-nong, HU Hong-ping, YANG Jia-shi. Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks[J]. Applied Mathematics and Mechanics, 2005, 26(8): 911-920.

Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks

  • Received Date: 2004-08-05
  • Rev Recd Date: 2005-04-11
  • Publish Date: 2005-08-15
  • Using Stroh's formalism simple explicit expressions of Green's functions for a 2D piezoelectric body with two semi-infinite fixed conductor cracks subjected to a generalized line force were given. The Coulomb force acting on the free line charge due to the piezoelectricity and the distributed bo undary polarization charges was discussed at first. Interactions between two singularities with free charge (s) located in aregion with external cracks were studied, too. The numerical results show that the Coulomb force for two or more singularities with one free charge at least will have much influence on the electr omechanical fields in piezoelectric media when these singularities move closely with each other and therefore cannot be over looked again. The solutions obtained are valid not only for plane and anti-plane problems but also for coupled problems between in-plane and out-of-plane deformations.
  • loading
  • [1]
    Barnett D M,Lothe J.Dislocations and line charges in anisotropic piezoelectric insulators[J].Phys Status Solidi,Ser B,1975,67(1):105—111. doi: 10.1002/pssb.2220670108
    [2]
    Chadwick P,Smith G D.Foundations of the theory of surface waves in anisotropic medium[J].Adv Appl Mech,1977,17:303—377. doi: 10.1016/S0065-2156(08)70223-0
    [3]
    HU Yuan-tai, HUANG Yu-ying, CHEN Chuan-yao, et al. Green's functions for a piezoelectric semi-infinite body with a fixed conductor surface[J].Mechanics Research Communications,2000,27(3):333—338. doi: 10.1016/S0093-6413(00)00100-2
    [4]
    胡元太,赵兴华.具有抛物线边界的二维弹性介质的Green函数[J].应用数学和力学,1996,17(5):337—385.
    [5]
    Hwu C,Yen W J.Green's functions of two-dimensional anisotropic plates containing an elliptic hole[J].International Journal of Solids and Structures,1991,27(13):1785—1791.
    [6]
    Ting T C T.Image singularities of Green's functions for anisotropic elastic half-spaces and bimaterials[J].Journal of Elasticity,1991,27(2):119—139.
    [7]
    Ting T C T,HU Yuan-tai,Kirchner H O K.Anisotropic elastic materials with a parabolic or hyperbolic boundary: a classical problem revisited[J].J Appl Mech,2001,68(4):537—542. doi: 10.1115/1.1381393
    [8]
    Chung M Y,Ting T C T.Piezoelectric solid with an elliptic inclusion or hole[J].International Journal of Solids and Structures,1996,33(23):3343—3361. doi: 10.1016/0020-7683(95)00189-1
    [9]
    Kuo C M,Barnett D M.Stress singularities of interfacial cracks in bonded piezoelectric half-spaces[A].In:Wu J J,Ting T C T,Barnett D M Eds.Modern Theory of Anisotropic Elasticity and Applications,Philadelphia:SIAM,1990,33—50.
    [10]
    Park Y E.Linear electro-elastic fracture mechanics of piezoelectric materials[J].International Journal of Fracture,1992,54:79—100. doi: 10.1007/BF00040857
    [11]
    Park S B,Sun C T.Effect of electric field on fracture of piezoelectric ceramics[J].International Journal of Fracture,1995,70(3):203—216.
    [12]
    Sosa H,Khutoryansky N.New developments concerning piezoelectric materials with defects[J].International Journal of Solids and Structures,1996,33:3399—3414. doi: 10.1016/0020-7683(95)00187-5
    [13]
    Suo Z,Kuo C M,Barnett D M,et al.Fracture Mechanics for piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1992,40(4):739—765. doi: 10.1016/0022-5096(92)90002-J
    [14]
    Stroh A N.Dislocations and cracks in anisotropic elasticity[J].Phil Mag,1958,3(30):625—646. doi: 10.1080/14786435808565804
    [15]
    Stroh A N.Steady state problem in anisotropic elasticity[J].J Math Phys,1962,41(1):77—103.
  • 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 (2790) PDF downloads(516) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return