The Saint-Venant problem is formulated in the framework of the linear theory of piezoelectricity for homogeneous, monoclinic. piezoelectric cylinders. A relaxed version of this problem is stated and is proved to be well-posed under Clebsch- type assumptions. The general solution of the related problem is explicitly given. up to the solution of a two-dimensional Dirichlet-type problem involving two scalar fields, and is decomposed into five "fundamental" solutions. Finally, a Saint-Venant principle, related to the present relaxed formulation of the piezoelectric Saint-Venant problem, is established. In particular, the exponential decay along the cylinder asis of the free energy stored into a piezoelectric cylinder, subject to self-equilibrated loads on one base only, is proved.

Bisegna, P. (1998). The Saint-Venant problem for monoclinic piezoelectric cylinders. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 78(3), 147-165 [10.1002/(SICI)1521-4001(199803)78:3<147::AID-ZAMM147>3.0.CO;2-Z].

The Saint-Venant problem for monoclinic piezoelectric cylinders

BISEGNA, PAOLO
1998

Abstract

The Saint-Venant problem is formulated in the framework of the linear theory of piezoelectricity for homogeneous, monoclinic. piezoelectric cylinders. A relaxed version of this problem is stated and is proved to be well-posed under Clebsch- type assumptions. The general solution of the related problem is explicitly given. up to the solution of a two-dimensional Dirichlet-type problem involving two scalar fields, and is decomposed into five "fundamental" solutions. Finally, a Saint-Venant principle, related to the present relaxed formulation of the piezoelectric Saint-Venant problem, is established. In particular, the exponential decay along the cylinder asis of the free energy stored into a piezoelectric cylinder, subject to self-equilibrated loads on one base only, is proved.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - Scienza delle Costruzioni
English
Con Impact Factor ISI
Saint-Venant problem; Saint-Venant principle; linear piezoelectricity
Bisegna, P. (1998). The Saint-Venant problem for monoclinic piezoelectric cylinders. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 78(3), 147-165 [10.1002/(SICI)1521-4001(199803)78:3<147::AID-ZAMM147>3.0.CO;2-Z].
Bisegna, P
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/23578
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