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

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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

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.

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