Fundamental solutions for transversely isotropic piezoelectric media

被引：0
|
作者：
丁皓江
梁剑
陈波
机构：
[1] Department of Mechanics
[2] Zhejiang University
[3] China
[4] Hangzhou 310027
来源：
Science China Mathematics | 1996年 / 07期
基金：
中国国家自然科学基金;
关键词：
transverse isotropy; piezoelectric material; fundamental solution;
D O I：
暂无
中图分类号：
TM22 [强性介质和压电介质];
学科分类号：
0805 ; 080502 ; 080801 ;
摘要：
A general solution for the.equilibrium equations of pieajelectric media under body forces is obtained. With regard to the transversely isotropic piezoelectric material, closed forms for the displacements and electric potential function for an infinite solid loaded with point forces and point charge are then obtained by using the general solution together with potential theory and constructing a kind of harmonic functions. Thus, the fundamental solutions which are utilizable in boundary element method are obtained.
引用
收藏
页码：766 / 775
页数：10
相关论文
共 50 条
  • [21] Antiplane Problem of Interfacial Cracks Bonded with Transversely Isotropic Piezoelectric Media
    Choi, Sung Ryul
    TRANSACTIONS OF THE KOREAN SOCIETY OF MECHANICAL ENGINEERS A, 2012, 36 (06) : 665 - 672
  • [22] Fundamental Solutions for a Piecewise-Homogeneous Transversely Isotropic Elastic Space
    Kryvyi О.F.
    Morozov Y.О.
    Journal of Mathematical Sciences, 2023, 270 (1) : 143 - 156
  • [23] Exact solutions for free vibration of transversely isotropic piezoelectric circular plates
    Ding, HJ
    Xu, RQ
    Chen, WQ
    ACTA MECHANICA SINICA, 2000, 16 (02) : 141 - 147
  • [24] Precise solutions of dynamic problems in stratified transversely isotropic piezoelectric materials
    Shuai Qi
    Pengchong Zhang
    Jie Ren
    Wei Ma
    Jing Wang
    Archive of Applied Mechanics, 2023, 93 : 2351 - 2388
  • [25] Fundamental solutions for a fluid-saturated, transversely isotropic, poroelastic solid
    Taguchi, I
    Kurashige, M
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2002, 26 (03) : 299 - 321
  • [26] Exact solutions for free vibration of transversely isotropic piezoelectric circular plates
    Ding, Haojiang
    Xu, Rongqiao
    Chen, Weiqiu
    Acta Mechanica Sinica/Lixue Xuebao, 2000, 16 (02): : 141 - 147
  • [27] Axisymmetric solutions for the multi-layered transversely isotropic piezoelectric medium
    Zhang, Pengchong
    Liu, Jun
    Lin, Gao
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 355 - 375
  • [28] Exact solutions for free vibration of transversely isotropic piezoelectric circular plates
    Ding Haojiang
    Xu Rongqiao
    Chen Weiqui
    Acta Mechanica Sinica, 2000, 16 (2) : 141 - 147
  • [29] Precise solutions of dynamic problems in stratified transversely isotropic piezoelectric materials
    Qi, Shuai
    Zhang, Pengchong
    Ren, Jie
    Ma, Wei
    Wang, Jing
    ARCHIVE OF APPLIED MECHANICS, 2023, 93 (06) : 2351 - 2388
  • [30] EXACT SOLUTIONS FOR FREE VIBRATION OF TRANSVERSELY ISOTROPIC PIEZOELECTRIC CIRCULAR PLATES
    丁皓江
    徐荣桥
    陈伟球
    Acta Mechanica Sinica, 2000, 16 (02) : 141 - 147
12345