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含界面电极压电介质的Green函数 被引量:2

Green's Functions of Internal Electrodes Between Two Dissimilar Piezoelectric Media
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摘要  研究了由两个不同压电材料和一半无限长电极组成的复合材料系统的广义二维问题· 基于Stroh公式,提供了当一个线力、线电荷和一个线电偶极子施加在电极端附近时,精确的Green函数解· 进一步地,获得了相应的场强度系数· 这些结果可作为边界元的基本解。 The generalized 2-D problem of a half-infinite interfacial electrode layer between two arbitrary piezoelectric half-spaces is studied. Based on the Stroh formalism, exact expressions for the (Green's) functions of a line force, a line charge and a line electric dipole applied at an arbitrary point near the electrode edge,were presented, respectively. The corresponding solutions for the intensity factors of fields were also obtained in an explicit form. These results can be used as the foundational solutions in boundary element method (BEM) to solve more complicated fracture problems of piezoelectric composites.
出处 《应用数学和力学》 CSCD 北大核心 2005年第2期215-221,共7页 Applied Mathematics and Mechanics
基金 德国洪堡基金资助项目
关键词 压电复合材料 内电极 GREEN函数 耦合场 piezoelectric material internal electrode Green's function coupled field
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参考文献12

  • 1Winzer S R, Shankar N, Ritter A P. Designing cofired multilayer electrostrictive actuators for reliability[J]. J Am Ceram Soc, 1989,72( 11 ) :2246-2257.
  • 2Yang W, Suo Z. Cracking in ceramic actuators caused by electrostriction [ J ] . J Mech Phys Solids ,1994,42(4) :649-663.
  • 3Hao T H, Gong X, Suo Z. Fracture mechanics for the design of ceramic multiplayer actuators [ J ]. J Mech Phys Solids, 1996,44( 1 ) :23-48.
  • 4Dos Santos e Lucato S L, Lupascu D C, Kamlah M, et al. Constraint-induced crack initiation at electrode edges in piezoelectric ceramics[ J]. Acta Mater ,2001,49(14): 2751-2759.
  • 5Deng D, Meguid S A. Analysis of conducting rigid inclusion at the interface of two dissimilar piezoelectric materials[J]. J Appl Mech, 1998,65( 1 ): 76-84.
  • 6Ru C Q. Exact solution for finite electrode layers embedded at the interface of two piezoelectric halfplanes[ J]. J Mech Phys Solids,2000,48(4):693-708.
  • 7Wang X, Shen Y P. Exact solution for mixed boundary value problems at anisotropic piezoelectric bimaterial interface and unification of various interface defects[ J]. Internal J Solids and Structures,2000,39(6): 1591-1619.
  • 8Suo Z. Singularities,interfaces and Cracks in dissimilar anisotropic media[ J]. Proc R Soc A,1990, 427(1873) :331 -358.
  • 9Suo Z, Kuo C -M, Barnett D M, et al. Fracture mechanics for piezoelectric ceramics[ J]. J Mech PhysSolids, 1992,40(4) :739-765.
  • 10Gao C F, Wang M Z. Green' s functions of an interfacial crack between two dissimilar piezoelectric media[ J]. Internat J Solids and Structures, 2001,38: 5323-5334.

二级参考文献8

  • 1Jona,F.,Shirane,G.Ferroelectric Crystals. . 1962
  • 2Fulton,C.C.,Gao,H.Nonlinear fracture mechanics of piezoelectric ceramics. Smart Material Structure,SPIE . 1998
  • 3Kuang,Z.B.,Ma,F.S.Crack Tip Fields. . 2000
  • 4Park S B,Sun C T.Fracture criteria for piezoelectric ceramics. Journal of American Ceramics Society . 1995
  • 5Yang W,Zhu T.Fracture and fatigue of ferroelectrics under electric and mechanical loading. Fracture and Fatigue of Engineering Materials and Structures . 1998
  • 6Gao,H,Zhang,T Y,Tong,P.Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. Journal of the Mechanics and Physics of Solids . 1997
  • 7Suo,Z,Kuo,CM,Barnett,DM,Willis,JR.Fracture mechanics for piezoelectric ceramics. Journal of the Mechanics and Physics of Solids . 1992
  • 8Barnett DM,Lothe J.Dislocations and line charges in anisotropic piezoelectric insulators. Physica Status Solidi B Basic Research . 1975

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