-. Royer and E. Dieulesaint, Ondes élastiques dans les solides, Tome I : Propagation libre et guidée, 1996.

-. J. Besson, J. J. Boy, B. Glotin, Y. Jinzaki, and B. Sinha, A dual-mode thickness-shear quartz pressure sensor, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.40, issue.5, pp.584-591, 1993.
DOI : 10.1109/58.238112

-. F. Engel and P. W. , Stability of alpha-phase of quartz isomorphs, Ferroelectrics, vol.54, pp.349-352, 1984.

-. Reiter, H. Thanner, W. Wallnöfer, P. M. Worsch, and P. W. , Elastic constants and temperature-compensated orientation of GaPO 4, Proc. 15 th EFTF, pp.50-54, 2001.

-. Détain, B. Capelle, O. Cambon, and E. Philippot, Properties of AT-cut gallium phosphate resonators, chemical sciences materials, pp.151-160, 2001.

-. Auld, Acoustic fields and waves in solids, 1990.

-. N. Thurston, Waves in solids, Handbuch der Physik VI a, 1974.

-. P. Buchmann, Handbook of piezoelectricity crystal for radio and equipment designers, pp.34-65, 1954.

-. G. Lekhnilskii, Theory of elasticity of an anisotripic elastic body, 1963.

?. Ansi and /. Ieee, Determination of the elastic piezoelectric and dielectric constants, the electromechanical coupling factor, 1987.

-. Dulmet and R. Bourquin, Influence du choix de l'état de reférence sur les coefficients de température des modules élastiques du quartz, C.R. Acad. Sci, 1982.

-. Bechman, A. Ballato, and T. J. Lukaszek, High order temperature-coefficients of the elastic stiffness compliances of quartz, P.I.R.E, pp.1812-1822, 1962.

-. Delmas, F. Sthal, E. Bigler, B. Dulmet, and R. Bourquin, Temperature-compensated cuts f for vibrating beam resonators of gallium orthophosphate GaPO4, joint meeting 17 th EFTF and, IEEE FCS, pp.663-667, 2003.

-. A. Lewis, The effect of driving electrode shape on the electrical properties of piezoelectric crystal, The Bell System Technical Journal, pp.1259-1280, 1961.

-. Durant, Electrostatique Tome II : Problèmes généraux ? Conducteurs, 1966.

-. Hermann, Determination of electromechanical coupling factor of quartz bars vibrating in flexure or length-extension, Centre Electronique Horloger SA, Proc. 29 th Annual Symposium on Frequency Control, pp.26-34, 1975.

-. C. Peach, A General Approach to the Electrostatic Problem of the SAW Interdigital Transducer, IEEE Transactions on Sonics and Ultrasonics, vol.28, issue.2, pp.96-105, 1981.
DOI : 10.1109/T-SU.1981.31227

. Abramowitz, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1970.
DOI : 10.1119/1.1972842

?. D. Nassour, Etude théorique et expérimentale d'un double diapason de quartz utilisé comme capteur, Thèse de l'Université de Franche-Comté, N° ordre 321, 1979.

-. Bourquin and B. Dulmet, Méthode rapide de calcul des courbes fréquence température des résonateurs à quartz ? Application au barreau vibrant en flexion, C.I.C. 1984, Session II

-. Delmas, F. Sthal, E. Bigler, B. Dulmet, and R. Bourquin, Piezoelectric vibrating beam resonators revisited: flexural and torsional modes in gallium orthophosphate GaPO 4, pp.283-286, 2003.

-. E. Love, The mathematical theory of elasticity, 1944.
URL : https://hal.archives-ouvertes.fr/hal-01307751

-. Truchot, Définitions et modélisations analytiques et numériques des structures vibrantes en quartz en vue de la réalisation de microcapteurs à sortie fréquencielle, Thèse de l'Université de Franche-Comté, 1995.

-. Truchot and R. Bourquin, Torsional quartz resonators: analytical and numerical models, pp.862-871, 1994.

-. Truchot and R. Bourquin, Torsional double-ended tuning fork quartz crystal force sensor, pp.127-131, 1995.

-. Delmas, F. Sthal, E. Bigler, B. Dulmet, and R. Bourquin, Analytical model of cylindrical cross-section in GaPO 4 vibrating in torsional modes, Journal de Physique IV, pp.119-122, 2004.

-. C. Zienkiewicz, The finite element method in engineering science, 1963.

-. C. Zienkiewicz, Introduction aux élements finis, (Traduit de l'anglais par, J.L.Claudon), 1976.

-. C. Martin and G. F. Carey, Introduction to finite element analysis, 1973.

-. Touzot and G. Dhatt, une présentation de la méthode des éléments finis, 1984.

-. J. Bathe and E. L. Wilson, Numerical methods in finite element analysis, 1976.

?. E. Andrey, J. J. Boy, V. Petrini, C. Khan, and . Malek, Developments in micro-ultrasonic machining, Proc. 4 th euspen international conference, pp.191-192, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00108341

?. E. Andrey, J. J. Boy, C. Khan, and . Malek, Tool wear for micro-ultrasonic machining, Proc. 5 th euspen international conference, pp.345-348, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00108344

-. Delmas, F. Sthal, E. Bigler, J. J. Boy, S. Galliou et al., Experimental study of temperature effects in vibrating beam and thickness-shear resonators of GaPO/sub 4/ machined by ultrasonic milling, Proceedings of the 2004 IEEE International Frequency Control Symposium and Exposition, 2004., pp.625-629, 2004.
DOI : 10.1109/FREQ.2004.1418534

-. Luzi, M. Minunni, S. Tombelli, and M. Mascini, New trends in affinity sensing, TrAC Trends in Analytical Chemistry, vol.22, issue.11, pp.810-818, 2003.
DOI : 10.1016/S0165-9936(03)01208-1

-. Manelli, M. Minunni, S. Tombelli, and M. Mascini, Quartz crystal microbalance (QCM) affinity biosensor for genetically modified organisms (GMOs) detection, Biosensors and bioelectronics 18, pp.129-140, 2003.

-. Minunni, M. Mascini, R. M. Carter, M. B. Jacobs, G. J. Lubrano et al., A quartz crystal microbalance displacement assay for Listeria monocytogenes, Analytica Chimica Acta, vol.325, issue.3, pp.167-174, 1996.
DOI : 10.1016/0003-2670(96)00033-5

-. Nosek, Some second-order effects participating on frequency-temperature behaviour of rotated Y-cut GaPO4 resonators, Proc. 56 th IEEE FCS, pp.337-341, 2002.

-. Thanner, P. W. Krempl, F. Krispel, C. Reiter, and R. Bourquin, High temperature microbalances based on GaPO4, High temperature microbalance based on GaPO 4, pp.161-164, 2001.
DOI : 10.1016/S0151-9107(01)90030-3

-. Thanner, P. W. Krempl, W. Wallnöfer, and P. M. Worsch, GaPO4 high temperature crystal microbalance with zero temperature coefficient, Vacuum, vol.67, issue.3-4, pp.687-691, 2002.
DOI : 10.1016/S0042-207X(02)00241-5

-. Dulmet and R. Bourquin, M??thodes de d??termination des courbes fr??quence-temp??rature d'un r??sonateur ?? quartz vibrant en mode d'??paisseur, Revue de Physique Appliqu??e, vol.18, issue.10, pp.639-625, 1983.
DOI : 10.1051/rphysap:019830018010061900

-. Tombelli, M. Mascini, and A. P. Tuner, Improved procedure for immobilisation of oligonucleotides on glod-coated piezoelectric quartz crystal, Biosensors and bioelectronics 17, pp.929-936, 2002.