The principle of correspondence between elastic and piezoelectric problems

A correspondence principle is established between elastic and piezoelectric problems for transversely isotropic materials, in such a way that the knowledge of an elastic solution yields fully coupled electro-elastic fields for the corresponding piezoelectric problem, provided the elastic solution is...

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Bibliographic Details
Published in:Archive of applied mechanics (1991) 2002-12, Vol.72 (8), p.564-587
Main Authors: KARAPETIAN, E, KACHANOV, M, SEVOSTIANOV, I
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:A correspondence principle is established between elastic and piezoelectric problems for transversely isotropic materials, in such a way that the knowledge of an elastic solution yields fully coupled electro-elastic fields for the corresponding piezoelectric problem, provided the elastic solution is written in a certain form. The implementation of this principle is illustrated by constructing, in a routine way, several piezoelectric solutions involving crack and punch problems (one of them has not been solved previously).
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-002-0223-z