Abstract
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 prsented, respectively. The corresponding solution 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Winzer S R, Shankar N, Ritter A P. Designing cofired multilayer electrostrictive actuators for reliability[J].J Am Ceram Soc, 1989,72(11):2246–2257.
Yang W, Suo Z. Cracking in ceramic actuators caused by electrostriction[J].J Mech Phys Solids, 1994,42(4):649–663.
Hao 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.
Dos 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.
Deng 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.
Ru C Q. Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes[J].J Mech Phys Solids, 2000,48(4):693–708.
Wang X, Shen Y P. Exact solution for mixed boundary value problems at anisotropic piezoelectric bimaterial interface and unification of various interface defects[J].Internat J Solids and Structrues, 2002,39(6):1591–1619.
Suo Z. Singularities, interfaces and Cracks in dissimilar anisotropic media[J].Proc R Soc A, 1990,427(1873):331–358.
Suo Z, Kuo C M, Barnett D M,et al. Fracture mechanics for piezoelectric ceramics[J].J Mech Phys Solids, 1992,40(4):739–765.
Gao 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.
Muskhelishvili N ISome Basic Problems of Mathematical Theory of Elasticity [M]. Noordhoff, Leyden, 1975.
Wang J W, Kuang Z B. The interaction between crack and electric dipole of piezoelectricity[J].Acta Mechanica Solida Sinica, 2000,13(3):283–289.
Author information
Authors and Affiliations
Additional information
Communcated by FAN Wei-xun, Original Member of Editorial Committee, AMM
Foundation item: the Alexander von Humboldt Foundation of Germany
Biography: GAO Cun-fa, Associate Professor, Doctor, E-mail: cfgao@yahoo.com
Rights and permissions
About this article
Cite this article
Cun-fa, G., Balke, H. Green’s functions of internal electrodes between two dissimilar piezoelectric media. Appl Math Mech 26, 234–241 (2005). https://doi.org/10.1007/BF02438246
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02438246