General Solution of Plane Problem of Piezoelectric Media Expressed by“Harmonic Functions”

Ding Haojiang; Wang Guoqing; Chen Weiqiu

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Ding Haojiang, Wang Guoqing, Chen Weiqiu. General Solution of Plane Problem of Piezoelectric Media Expressed by“Harmonic Functions”[J]. Applied Mathematics and Mechanics, 1997, 18(8): 703-710.

Citation:

Ding Haojiang, Wang Guoqing, Chen Weiqiu. General Solution of Plane Problem of Piezoelectric Media Expressed by“Harmonic Functions”[J]. Applied Mathematics and Mechanics, 1997, 18(8): 703-710.

Citation:

Ding Haojiang, Wang Guoqing, Chen Weiqiu. General Solution of Plane Problem of Piezoelectric Media Expressed by“Harmonic Functions”[J]. Applied Mathematics and Mechanics, 1997, 18(8): 703-710.

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General Solution of Plane Problem of Piezoelectric Media Expressed by“Harmonic Functions”

Zhejiang University, Hangzhou 310027, P. R. China

Received Date: 1996-01-08
Publish Date: 1997-08-15

Abstract

Abstract

First based on the basic equations of two-dimensional piezoelec troelasticity,adisplacement function is introduced and the general solution is then derived Utilizing the generalized Almansi's theorem. the general solution is so simplified that allphysical quantities can be expressed by three "harmonic functions".Second,solutions of 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 of point forces and point charge acting on the line boundary of a piezoelectric half-plane.
- piezoelectric media,
- plane problem,
- general solution,
- wedge

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References(13)

References

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