Thermal derivatives of compliances, piezoelectric coefficients and permittivities in Lagrangian description

Author

Bourquin, R. ; Dulmet, B.

Author_Institution

Ecole Nat. Superieure de Mecanique et des Microtech., Besancon, France

fYear

2003

fDate

4-8 May 2003

Firstpage

723

Lastpage

729

Abstract

The aim of this paper is to present constitutive relations expressing the strain and electric displacement as functions of Piola-Kirchoff stress tensors of the first or second kind and of material electric field. These relations are necessary to allow the use of Lagrangian (or material) description of vibrating piezoelectric devices submitted to a change of temperature. Connections between these new coefficients and the classical ones are given and numerical values for them are proposed.

Keywords

crystal resonators; elastic constants; permittivity; tensors; Lagrangian description; Piola-Kirchoff stress tensor; electric displacement; permittivity; piezoelectric coefficient; strain displacement; thermal derivative; vibrating piezoelectric device; Acoustic propagation; Boundary conditions; Capacitive sensors; Lagrangian functions; Permittivity; Surface acoustic waves; Temperature; Tensile stress; Thermal stresses; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium and PDA Exhibition Jointly with the 17th European Frequency and Time Forum, 2003. Proceedings of the 2003 IEEE International

ISSN

1075-6787

Print_ISBN

0-7803-7688-9

Type

conf

DOI

10.1109/FREQ.2003.1275182

Filename

1275182