Contact zone models for an interface crack in a piezoelectric material

A plane strain problem for an interface crack along the fixed edge of a piezoelectric semi-infinite space is examined. Electrically conducting and electrically insulated crack surfaces are considered. By using Fourier transforms the systems of singular integral equations are formulated for both case...

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Bibliographic Details
Published in:Acta mechanica 2000-01, Vol.140 (3-4), p.233-246
Main Authors: GOVORUKHA, V. B, LOBODA, V. V
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Dielectric, piezoelectric, ferroelectric and antiferroelectric materials
Dielectrics, piezoelectrics, and ferroelectrics and their properties
Electric conductivity of solids
Electric insulation
Exact sciences and technology
Fourier transforms
Integral equations
Mathematical models
Physics
Piezoelectric materials
Strain
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Summary:A plane strain problem for an interface crack along the fixed edge of a piezoelectric semi-infinite space is examined. Electrically conducting and electrically insulated crack surfaces are considered. By using Fourier transforms the systems of singular integral equations are formulated for both cases. It was found that in the second case for the most commonly used piezoelectric materials instead of oscillating singularity the real singularity of general power type occurs. The dependence of this singularity on the piezoelectric parameters has been investigated. The contact zone model is considered as an alternative one for the case of the oscillating singularity, and the way this model can be used for the investigation of interface cracks in finite size piezoelectrics is suggested.
ISSN:0001-5970
1619-6937
DOI:10.1007/BF01182513