The Eshelby Theorem and its Variants for Piezoelectric Media

We prove the Eshelby theorem for an ellipsoidal piezoelectric inclusion in an infinite piezoelectric material. Explicit formulas for the link and polarization matrices are derived. Passing to the limits with respect to parameters in the corresponding equations, the result is extended to cases when e...

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Bibliographic Details
Published in:Archive for rational mechanics and analysis 2015-03, Vol.215 (3), p.707-739
Main Authors: Leugering, G., Nazarov, S. A.
Format: Article
Language:English
Subjects:
Archives
Classical Mechanics
Complex Systems
Elastic limit
Fluid- and Aerodynamics
Inclusions
Links
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Piezoelectricity
Polarization
Theorems
Theoretical
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Summary:We prove the Eshelby theorem for an ellipsoidal piezoelectric inclusion in an infinite piezoelectric material. Explicit formulas for the link and polarization matrices are derived. Passing to the limits with respect to parameters in the corresponding equations, the result is extended to cases when either the inclusion or the surrounding material is purely elastic.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-014-0803-4