Electro-Elastic Green’s Functions for a Piezoelectric Half-Space and Their Application

Liu Jinxi; Wang Biao; Du Shanyi

Volume 18 Issue 11

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(11): 967-973

Liu Jinxi, Wang Biao, Du Shanyi. Electro-Elastic Green’s Functions for a Piezoelectric Half-Space and Their Application[J]. Applied Mathematics and Mechanics, 1997, 18(11): 967-973.

Citation:

Liu Jinxi, Wang Biao, Du Shanyi. Electro-Elastic Green’s Functions for a Piezoelectric Half-Space and Their Application[J]. Applied Mathematics and Mechanics, 1997, 18(11): 967-973.

Citation:

Liu Jinxi, Wang Biao, Du Shanyi. Electro-Elastic Green’s Functions for a Piezoelectric Half-Space and Their Application[J]. Applied Mathematics and Mechanics, 1997, 18(11): 967-973.

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Electro-Elastic Green’s Functions for a Piezoelectric Half-Space and Their Application

Composite Material Reseach Lab., Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 1996-07-29
Publish Date: 1997-11-15

Abstract

Abstract

In this paper, as is studied are the electro-elastic solutions for a piezoelectric halfspace subjected Io a line force, a line charge and a line dislocation, i. e.. Green sfunclions on the basis of Stroh formalism and the concept of analytical continuation,explicit expressions for Green's functions are derived. As a direct application of theresults obtained, an infinite piezoelectric solid containing a semi-infinite crack isexammed. Attention iffocused on the stress and electric displacement fields of a cracktip. The stress and electric displacement intensity.factors are given explicitly.
- piezoelectric half-space,
- Green’s function,
- semi-infinite crack,
- stress intensity factor,
- electric displacement intensity factor

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References(8)

References

[1]	J.S,Lee end L,Z.Jing,A boundary integral formulation and 2-D fundamental solutions for piezoelectric media,Mech,Res.Commun,21(1)(1994),47-54.
[2]	孟庆元、杜善义,压电介质二维边界积分方程中的基本解,固体力学学报,16(1)(1995),90-94.
[3]	刘金喜、王彪、杜善义,二维各向异性压电介质机电藕合场的基本解,应用数学和力学,16(10)(1997),885-891.
[4]	H.A,Sosa and M,A,Castro,On concentrated loads at the boundary of a piezoelectric half-plane,J.Mech,Phys,Solids,42(7)(1994),1105-1122
[5]	H,Fan,K,Y.Sze and W,Yang,Two-dimensigyl contact on a piezoelectric half-space,Int,J.Solids Struct.,33(9)(1996),1305-1315.
[6]	D.M,Barnett and J.Lothe,Dislocation and line charges in anisotropic piezoelectric in sulators,Phys.Stat.Scl.(b),67(1975),105-111.
[7]	J.Liang,J.C.Han,B,Wangiad S,Y.Du,Electro-elastic modelling of anisotropic piezoelectric materials with an elliptic inclusion,Int.T.Solids Struct,32(20)(1995),2989-3000.
[8]	Y,E.Pak,Force on a piezoelectric screw dislocation,T.Appl.Mech.,57(3)(1990).863-869.

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