Circular inclusion problem in antiplane piezoelectricity

A circular piezoelectric inclusion embedded in an infinite piezoelectric matrix is analysed in the framework of linear piezoelectricity. A closed-form solution is obtained for the case of a far-field antiplane mechanical load and a far-field inplane electrical load. It is shown that in modeling cavi...

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Bibliographic Details
Published in:International journal of solids and structures 1992, Vol.29 (19), p.2403-2419
Main Author: Pak, Y.Eugene
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:A circular piezoelectric inclusion embedded in an infinite piezoelectric matrix is analysed in the framework of linear piezoelectricity. A closed-form solution is obtained for the case of a far-field antiplane mechanical load and a far-field inplane electrical load. It is shown that in modeling cavities, imposing an impermeable boundary condition is a good approximation provided that the piezoelectric material has high dielectric constant and strong electro-elastic coupling. Stress and electric field concentrations are also studied. It is shown that a high electric field can be induced in the inclusion under a mechanical load when the matrix and the inclusion are poled in the opposite directions. The path-independent M-integral of elastostatics, generalized to take piezoelectric effect into account, is used to study the energetics of a self-similarly expanding piezoelectric inclusion.
ISSN:0020-7683
1879-2146
DOI:10.1016/0020-7683(92)90223-G