Saint Venant problem in linear piezoelectricity

Francesco dell'Isola; Luigi Rosa

doi:10.1117/12.240816

31 May 1996 Saint Venant problem in linear piezoelectricity

Francesco dell'Isola, Luigi Rosa

Proceedings Volume 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures; (1996) https://doi.org/10.1117/12.240816
Event: 1996 Symposium on Smart Structures and Materials, 1996, San Diego, CA, United States

Abstract

In studying the behavior of piezoelectric material one has to handle with the two aspect related to their mechanical and electric properties. In this paper we give a complete and thorough analysis of the Saint Venant problem for linear elastic piezoelectric cylinders. It is well known that, from a mechanical point of view, the problem of determining the deformation of a cylinder once fixed the resultant forces acting on its bases can be solved in analytical form only under restrictive assumptions. In particular general solutions are available within the so called `Clebsh-Saint-Venant' hypothesis (T equals 0). This hypothesis we will use in our paper. In this way we are able to give the general solution for the problem of linear piezoelectricity in the case of a cylinder in contact with a medium with low permittivity, and the case in which the cylinder is in contact with conductors at an assigned potential. We find that it is possible to control in the first case Poisson effect, and in the second flexural deformation.

Citation Download Citation

Francesco dell'Isola and Luigi Rosa "Saint Venant problem in linear piezoelectricity", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); https://doi.org/10.1117/12.240816

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