A crack in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium

被引:6
|
作者
Wu, LZ [1 ]
机构
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
piezoelectric medium; crack; inhomogeneity; crack extension force; conformal mapping;
D O I
10.1023/A:1007679627016
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An effective method is developed and used to investigate the elastic field and the electric field of a crack in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium. The matrix is subjected to the remote antiplane shear and inplane electric field. The analytical solution is obtained using the conformal mapping and the theorem of analytic continuation. Specific solutions which are compared with existing ones are provided. The characteristics of the elastic field and electric field singularities at the crack tip are analyzed and the corresponding crack extension forces are derived.
引用
收藏
页码:1 / 14
页数:14
相关论文
共 50 条
  • [21] Analysis of a partially debonded elliptic inhomogeneity in piezoelectric materials
    Zhong Zheng
    Applied Mathematics and Mechanics, 2004, 25 (4) : 445 - 457
  • [22] Modified Eshelby tensor for an ellipsoidal inclusion imperfectly embedded in an infinite piezoelectric medium
    Wang, Z.
    Zhu, J.
    Chen, W. Q.
    Jin, X. Y.
    Zhang, C. Z.
    MECHANICS OF MATERIALS, 2014, 74 : 56 - 66
  • [24] Analysis of a piezoelectric screw dislocation inside an elliptical inhomogeneity with confocal rigid line in piezoelectric material
    Jiang, Chunzhi
    Xie, Chao
    Liu, Youwen
    Zeng, Xin
    THEORETICAL AND APPLIED MECHANICS LETTERS, 2011, 1 (06)
  • [25] A Piezoelectric Screw Dislocation Interacting with an Elliptical Piezoelectric Inhomogeneity Containing a Confocal Elliptical Rigid Core
    蒋纯志
    谢超
    刘又文
    Communications in Theoretical Physics, 2011, 56 (10) : 774 - 778
  • [26] A Piezoelectric Screw Dislocation Interacting with an Elliptical Piezoelectric Inhomogeneity Containing a Confocal Elliptical Rigid Core
    Jiang Chun-Zhi
    Xie Chao
    Liu You-Wen
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (04) : 774 - 778
  • [27] On scattering in a piezoelectric medium by a conducting crack
    Li, Shaofan
    To, Albert C.
    Glaser, Steven D.
    Journal of Applied Mechanics, Transactions ASME, 2005, 72 (06): : 943 - 954
  • [28] On scattering in a piezoelectric medium by a conducting crack
    Li, SF
    To, AC
    Glaser, SD
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2005, 72 (06): : 943 - 954
  • [29] AN ARBITRARILY SHAPED ESHELBY INCLUSION INTERACTING WITH A CIRCULAR PIEZOELECTRIC INHOMOGENEITY PENETRATED BY A SEMI-INFINITE CRACK
    Wang, Xu
    Schiavone, Peter
    MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS, 2018, 6 (02) : 125 - 136
  • [30] Micro-crack initiation at the tip of a semi-infinite rigid line inhomogeneity in piezoelectric solids
    Xiao, ZM
    Zhang, HX
    Chen, BJ
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (15-16) : 1223 - 1233