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

Proceedings of the Annual IEEE International Frequency Control Symposium

Volumn , Issue , 2003, Pages 723-729

  Bourquin, R ^a   Dulmet, B ^a  

^a Ecl Natl Sup Mecan/Microtech   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CRYSTALLOGRAPHY; DERIVATIVES; ELASTIC MODULI; ELECTRIC FIELDS; LAGRANGE MULTIPLIERS; PERMITTIVITY; RESONATORS; STRAIN; TENSORS; THERMODYNAMICS; VIBRATIONS (MECHANICAL);

DYNAMIC STRAIN; ELECTRIC DISPLACEMENT; PIEZOELECTRIC COEFFICIENTS;

PIEZOELECTRIC DEVICES;

EID: 1542275539     PISSN: 01616404     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. B.Dulmet and R.Bourquin, "Lagrangian effective material constants for the modelling of thermal behavior of acoustic waves in piezoelectric crystals. I Theory" Journ.Acous.Soc.Am, Vol 110(4), pp. 1792-1799, Oct.2001
2. B.Dulmet and R.Bourquin, "Lagrangian effective material constants for the modelling of thermal behavior of acoustic waves in piezoelectric crystals. II Applications and numerical values for quartz" Journ.Acous.Soc.Am, Vol 110(4), pp.1800-1807, Oct.2001
3. B.K.Sinha and H.F.Tiersten, "First temperature derivatives of the fundamental elastic constants of quartz", Journ. Appl. Phys. Vol 50, pp. 2732-2739
4. Y.K.Yong and W.Wei, "Lagrangian temperature coefficients of the piezoelectric stress constants and dielectric permittivity of quartz" 2000 Int. Freq. Cont. Symp., Proc. pp.364-372
5. Y.K.Yong and W.Wei, "Lagrangian versus classical formulation of frequency temperature problem in quartz resonators" 2001 Int. Freq. Cont. Symp., Proc. pp.828-837
6. J.Yang, "Equations for small fields superposed on finite biasing fields in thermoelectroelastic body", IEEE Trans. Ultrason., Ferroelect., Freq. Contr., Vol.50, pp. 187-192.
7. C. Truesdell and R.A.Toupin, "The classical filed theories" in Hanbuch der Physik, Vol.III/I, Berlin, Springer Verlag, 1960, pp. 226-793
8. R.N.Thurston, "Waves in solids" Mechanics of solids IV, Vol. Via/4, Berlin, Springer, 1974, pp. 109-132
9. B.James "A new measurement of the basic elastic and dielectric constants of quartz" 1988 Ann. Symp. Freq. Cont., Proc. pp.146-154
10. J.A.Kosinski, J.G.Gualtieri and A.Ballato, "Thermal expansion of alpha quartz" 1991 Ann. Freq. Cont.Symp., Proc. pp. 22-28
11. R.Bechmann, A.Ballato, T.Lukaszek, "High order temperature coefficient of the elastic stiffnesses and compliances of quartz" Proc. IRE 50, pp. 1812-1822, (1962)