Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (8): 757-764.

• 论文 • 上一篇    下一篇

GENERAL SOLUTION OF PLANE PROBLEM OF PIEZOELECTRIC MEDIA EXPRESSED BY “HARMONIC FUNCTIONS”

丁皓江, 王国庆, 陈伟球   

  1. Zhejiang University, Hangzhoq. 310027. P. R. China
  • 收稿日期:1996-01-08 出版日期:1997-08-18 发布日期:1997-08-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

GENERAL SOLUTION OF PLANE PROBLEM OF PIEZOELECTRIC MEDIA EXPRESSED BY “HARMONIC FUNCTIONS”

Ding Haojiang, Wang Guoqing, Chen Weiqiu   

  1. Zhejiang University, Hangzhoq. 310027. P. R. China
  • Received:1996-01-08 Online:1997-08-18 Published:1997-08-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

摘要: First based on the basic equations of two-dimensional piezoelectroelasticity,adisplacement function is introduced and the general solution is then derived Utilizing the generalized Almansis theorem. the general solution is so simplified that allphysical quantities can be expressed by three harmonic functions.Second,solutionsof problems of a wedge loaded by point forces and point charge at the apex are alsoobtained in the paper. These solutions can be degenerated to those of problems ofpoint forces and point charge acting on the line boundary of a piezoelectric half-plane.

Abstract: First based on the basic equations of two-dimensional piezoelectroelasticity,adisplacement function is introduced and the general solution is then derived Utilizing the generalized Almansis theorem. the general solution is so simplified that allphysical quantities can be expressed by three harmonic functions.Second,solutionsof problems of a wedge loaded by point forces and point charge at the apex are alsoobtained in the paper. These solutions can be degenerated to those of problems ofpoint forces and point charge acting on the line boundary of a piezoelectric half-plane.

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals