含椭圆孔或裂纹压电介质平面问题的基本解

高存法; 樊蔚勋

含椭圆孔或裂纹压电介质平面问题的基本解

南京航空航天大学飞行器系, 南京 210016

详细信息

中图分类号: O343;O482
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出版历程
- 收稿日期: 1997-11-13
- 刊出日期: 1998-11-15

The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack

Department of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

摘要

摘要: 应用复变函数的方法,并基于精确的电边界条件,导出了含一椭圆孔或裂纹的横观各向同性压电体在任意集中力和集中电荷作用下的复变函数解,即Cren函数解.叠加该解,得到了裂纹表面作用任意集中载荷或分布载荷时的一般解.这些解不但澄清了从前文献中一些不合理的结果,同时也为应用边界元法求解更复杂的压电介质断裂力学问题提供了基本解.
- 压电介质 /
- 椭圆孔 /
- 裂纹 /
- 平面问题 /
- 基本解
Abstract: Based on the complex potential method, the Green's functions of the plane problem in transversely isotropic piezoelectric media with an elliptic hole are obtained in terms of exact electric boundary conditions at therim of the hole. When the elliptic hole degenerates into a crack, the fundamental solutions for the field intensity factors are given. The general solutions for concentrated and distributed loads applied on the surface of the hole or crack are produced through the superposition of the fundamental solustions. With the aid of these soltuions, some erroneous results provided previously in other works are pointed out. More important is that these solutions can be used as the fundamental solutions of boundary method to solve more practical problems in piezoelectric media.
- piezoelectric media /
- elliptic hole /
- crack /
- plane strain /
- fundamental solution

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参考文献(18)

[1]	B.Wang,Three-dimensional analysis of an ellipsoidal inchusion in a piezoelectric material,Int.J.Solids Structures,29(3)(1992),293-308.
[2]	Y.Benveniste,The determination of the elastic and electric fields in piezoelectric inhomogeneity,J.Appl.Physics,72(3)(1992),1086-1095.
[3]	T.Cheng,Green's functions and the non-uniform transformation problem in a piezoelectric medium,Mech.Res.Comm.,20(3)(1993),271-278.
[4]	M.L.Dunn,Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems,Int.J.Eng.Sci.,32(1)(1994),119-131.
[5]	M.L.Dunn and H.A.Wienecke,Green's functions for transversely isotropic piezoelectric solids,Int.J.Solids Structures,33(30)(1996),4571-4581.
[6]	H.J.Ding and B.Chen,On the Green's functions for two-phase transversely isotropic piezoelectric media,Int.J.Solids Structures,34(23)(1997),3041-3057.
[7]	M.Akamatsu and K.Tanuma,Green's function of anisotropic piezoelectricity,Pr oc.R.Soc.L ond.A,453(1958)(1997),473-487.
[8]	丁皓江、陈波、梁剑,横观各向同性压电材料的基本解,中国科学(A),26(1996),735-743.
[9]	J.S.L ee and L.Z.Jiang,A boundary integral formulation and 2D fundamental solution for piezo-electric media,Mech.Res.Comm.,21(2)(1994),47-54.
[10]	丁皓江、王国庆、陈伟球,压电材料平面问题的基本解,中国科学(E),27(3)(1997),224) 228.
[11]	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,应用数学和力学,18(10)(1997),885-891.
[12]	H.A.Sosa and M.A.Castro,On concentrated load at boundary of a piexoelectric half-plane,J.Mech.Phys.Solids,42(7)(1994),1105-1122.
[13]	Z.Wang and B.Zheng,The general solution of three-dimensional problems in piezoelectric media,Int.J.Solids Structures,32(1)(1995),105-115.
[14]	H.J.Ding,B.Cheng and J.Liang,General solutions for coupled equations for piezoelectric media,Int.J.Solids Structures,33(2)(1996),2283-2298.
[15]	H.A.Sosa and N.Khutoryansky,New developrments concerning piezoelectric materials with defects,Int.J.Solids Structures,33(23)(1996),3399-3414.
[16]	A.S.Kosmodamianskii and V.I.Chemie,Stress state of a plate weakened by two elliptical holes with parallelaxes,Soviet Appl.Mech.,17(6)(1981),570-581.
[17]	高存法、岳伯谦,集中载荷作用下各向异性平面内的椭圆孔或裂纹问题,应用力学学报,10(3)(1993),49-57.
[18]	H.A.Sosa,On the fracture mechanics of piezoelectric solids,Int.J.Solids Structures,29(21)(1992),2613-2622.