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二维各向异性压电介质机电耦合场的基本解*

刘金喜 王彪 杜善义

刘金喜, 王彪, 杜善义. 二维各向异性压电介质机电耦合场的基本解*[J]. 应用数学和力学, 1997, 18(10): 885-891.
引用本文: 刘金喜, 王彪, 杜善义. 二维各向异性压电介质机电耦合场的基本解*[J]. 应用数学和力学, 1997, 18(10): 885-891.
Liu Jinxi, Wang Biao, Du Shanyi. Two-Dimensional Electroelastic Fundamental Solutions for General Anisotropic Piezoelectric Media[J]. Applied Mathematics and Mechanics, 1997, 18(10): 885-891.
Citation: Liu Jinxi, Wang Biao, Du Shanyi. Two-Dimensional Electroelastic Fundamental Solutions for General Anisotropic Piezoelectric Media[J]. Applied Mathematics and Mechanics, 1997, 18(10): 885-891.

二维各向异性压电介质机电耦合场的基本解*

基金项目: *国家自然科学基金;国家教委优秀年轻教师基金

Two-Dimensional Electroelastic Fundamental Solutions for General Anisotropic Piezoelectric Media

  • 摘要: 本文研究各向异性压电介质的机电耦台问题.应用平面波分解法和留数定理,首次得到了线力和线电荷作用下一般二维各向异性压电介质机电耦合场的基本解.本文的解适用于平面问题、反平面问题以及平面和反平面相互耦合问题.作为特例,文中给出了横观各向同性压电介质的基本解.
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    [2] B.Wang.Three-dimensional analysis of a flat elliptical crack in a piezoelectric material,Int.J.Engng.Sci.,30,6(1992).781-701.
    [3] S.Y.Du,et al.,The general solution of anisotropic piezoelectric materials with an elliptic inclusion.Acta Mech.Sin.,10.3(1994),273-291.
    [4] Y.E.Pak.Linear electroelastic fracture mechanics of piezoelectric matenals.Int.J.Fracture.54(1992).79-100.
    [5] Z.Suo.et al.,Fracture mechanies for piezoelectric ceramics.J.Mech,Phys.Solids.40,4(1992),739-769.
    [6] H.Sosa.Plane problems in piezoelectric media with defects,int.J.Solids Struct.,28,4(1991).491-505.
    [7] J.S.Lee and L.Z.Jiang.A boundary integral fomulation and 2-D fundamental solutions for piezoclectrie media.Mech.Res.Commun.,21.1(1994),47-54.
    [8] Q.Y.Meng and S.Y.Du.The fundamental solutions of boundary integral equation fora two-dimensional piezoelectric media.Acta.Mech Sol.Sin.,16,1(1995).90-94.(in Chinese)
    [9] D.M.Barnett and J.Lothe.Dislocation and line charges in anisotropic piezoelectric insulators,Phys.Status.Solidi(b).67(1975),105-111.
    [10] I.M.Gel fand,M.I.Graev and N.Ya.Vilenkin,Generalized Functions.Vol.5 Academic Press,New York(1996).
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出版历程
  • 收稿日期:  1996-04-08
  • 修回日期:  1997-06-09
  • 刊出日期:  1997-10-15

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