M. D. Dekkers, R. Nguyen, P. M. Steenwelle, D. H. Te-riele, G. Blank et al., Ferroelectric properties of epitaxial Pb(Zr,Ti)O3 thin films on silicon by control of crystal orientation, Applied Physics Letters, vol.95, issue.1, p.12902, 2009.
DOI : 10.1063/1.3163057

S. Pulskamp, A. Wickenden, R. Polcawich, B. Piekarski, M. Dubey et al., Mitigation of residual film stress deformation in multilayer microelectromechanical systems cantilever devices, Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, vol.21, issue.6, p.2482, 2003.
DOI : 10.1116/1.1615982

H. Baek, J. Park, D. M. Kim, V. A. Aksyuk, R. R. Das et al., Giant Piezoelectricity on Si for Hyperactive MEMS, Science, vol.334, issue.6058, p.958, 2011.
DOI : 10.1126/science.1207186

D. Berlincourt and H. Jaffe, Elastic and Piezoelectric Coefficients of Single-Crystal Barium Titanate, Physical Review, vol.111, issue.1, p.143, 1958.
DOI : 10.1103/PhysRev.111.143

M. Safari and . Abazari, Lead-free piezoelectric ceramics and thin films, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.57, issue.10, p.2165, 2010.
DOI : 10.1109/TUFFC.2010.1674

H. Yokota, F. Morigou, and . Miyashita, Preferential c-axis orientation and dielectric constants of thin BaTiO3 films deposited on Si wafers by a low energy ion beam assisted deposition technique, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.257, issue.1-2, p.468, 2007.
DOI : 10.1016/j.nimb.2007.01.100

H. Chen, J. Yang, L. Miao, L. X. Zhao, B. Cao et al., Leakage current of Pt???(Ba0.7Sr0.3)TiO3 interface with dead layer, Journal of Applied Physics, vol.97, issue.2, p.24106, 2005.
DOI : 10.1063/1.1828219

X. Qiao and . Bi, Effect of different buffer layers on the microstructure and dielectric properties of BaTiO3 thin films grown on Si substrates, Journal of Alloys and Compounds, vol.477, issue.1-2, p.560, 2009.
DOI : 10.1016/j.jallcom.2008.10.139

B. Niu, S. Gautier, G. Yin, P. Saint-girons, V. Lecoeur et al., Molecular beam epitaxy growth of BaTiO3 thin films and crucial impact of oxygen content conditions on the electrical characteristics, Thin Solid Films, vol.520, issue.14, p.4595, 2012.
DOI : 10.1016/j.tsf.2011.10.182

A. P. De-araujo, J. D. Cuchiaro, L. D. Mcmillan, M. C. Scott, and J. F. Scott, Fatigue-free ferroelectric capacitors with platinum electrodes, Nature, vol.374, issue.6523, p.627, 1995.
DOI : 10.1038/374627a0

H. Asano, H. Morioka, and . Funakubo, Fatigue-free RuO2/Pb(Zr,Ti)O3/RuO2 capacitor prepared by metalorganic chemical vapor deposition at 395?????C, Applied Physics Letters, vol.83, issue.26, p.5506, 2003.
DOI : 10.1063/1.1635964

K. H. Wu, C. L. Wong, Y. H. Choy, and . Zhang, Top-interface-controlled fatigue of epitaxial Pb(Zr0.52Ti0.48)O3 ferroelectric thin films on La0.7Sr0.3MnO3 electrodes, Applied Physics Letters, vol.77, issue.21, p.3441, 2000.
DOI : 10.1063/1.1327279

A. Boikov and T. Claeson, Microstructure and dielectric parameters of epitaxial SrRuO3/BaTiO3/SrRuO3 heterostructures, Journal of Applied Physics, vol.89, issue.9, p.5053, 2001.
DOI : 10.1063/1.1362409

M. Watanabe, M. Ami, and . Tanaka, Properties of polycrystalline SrRuO3 thin films on Si substrates, Materials Research Bulletin, vol.32, issue.1, p.83, 1997.
DOI : 10.1016/S0025-5408(96)00165-1

S. Niu, G. Yin, B. Saint-girons, P. Gautier, V. Lecoeur et al., Epitaxy of BaTiO3 thin film on Si(001) using a SrTiO3 buffer layer for non-volatile memory application, Microelectronic Engineering, vol.88, issue.7, p.1232, 2011.
DOI : 10.1016/j.mee.2011.03.028

J. Dubourdieu, T. M. Bruley, A. Arruda, J. Posadas, M. M. Jordan-sweet et al., Switching of ferroelectric polarization in epitaxial BaTiO3 films on silicon without a conducting bottom electrode, Nature Nanotechnology, vol.77, issue.10, p.748, 2013.
DOI : 10.1038/nnano.2013.192

M. Scigaj, N. Dix, I. Fina, R. Bachelet, B. Warot-fonrose et al., epitaxial films on Si(001) with large out-of-plane polarization, Applied Physics Letters, vol.102, issue.11, p.112905, 2013.
DOI : 10.1063/1.4798246

S. Y. Hou, J. Kwo, R. K. Watts, J. Cheng, and D. K. Fork, heterostructure on Si grown by off???axis sputtering, Applied Physics Letters, vol.67, issue.10, p.1387, 1995.
DOI : 10.1063/1.115542

P. Perna, L. Echin, M. P. Chauvat, P. Ruterana, . Ch et al., /YSZ-based buffered silicon substrates, Journal of Physics: Condensed Matter, vol.21, issue.30, p.306005, 2009.
DOI : 10.1088/0953-8984/21/30/306005

URL : https://hal.archives-ouvertes.fr/hal-00438161

D. W. Carr and H. G. Craighead, Fabrication of nanoelectromechanical systems in single crystal silicon using silicon on insulator substrates and electron beam lithography, Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, vol.15, issue.6, p.2760, 1997.
DOI : 10.1116/1.589722

A. R. Forouhi and I. Bloomer, Optical dispersion relations for amorphous semiconductors and amorphous dielectrics, Physical Review B, vol.34, issue.10, p.7018, 1986.
DOI : 10.1103/PhysRevB.34.7018

G. E. Jelisson and F. A. Modine, Parameterization of the optical functions of amorphous materials in the interband region, Applied Physics Letters, vol.69, issue.3, p.371, 1996.
DOI : 10.1063/1.118064

F. Ott, www-llb.cea.fr/prism/programs/simulreflec/simulreflec .html for Simulreflec

G. Koster, L. Klein, W. Siemons, G. Rijnders, J. S. Dodge et al., thin films, Reviews of Modern Physics, vol.84, issue.1, p.253, 2012.
DOI : 10.1103/RevModPhys.84.253

URL : https://hal.archives-ouvertes.fr/hal-00616911

A. Galdi, P. Orgiani, L. Maritato, and L. M. Echin, thin films, Journal of Physics: Condensed Matter, vol.24, issue.43, p.435603, 2012.
DOI : 10.1088/0953-8984/24/43/435603

URL : https://hal.archives-ouvertes.fr/hal-00979511

P. W. Forsbergh, Effect of a Two-Dimensional Pressure on the Curie Point of Barium Titanate, Physical Review, vol.93, issue.4, p.686, 1954.
DOI : 10.1103/PhysRev.93.686

B. W. Lee and K. H. Auh, Effect of grain size and mechanical processing on the dielectric properties of BaTiO3, Journal of Materials Research, vol.25, issue.06, p.1418, 1995.
DOI : 10.1111/j.1151-2916.1966.tb13145.x

M. Ring and K. L. Kavanagh, Substrate effects on the ferroelectric properties of fine-grained BaTiO3 films, Journal of Applied Physics, vol.94, issue.9, p.5982, 2003.
DOI : 10.1063/1.1615304

M. Marssi, F. L. Marrec, I. A. Lukyanchuk, and M. G. Karkut, Ferroelectric transition in an epitaxial barium titanate thin film: Raman spectroscopy and x-ray diffraction study, Journal of Applied Physics, vol.94, issue.5, p.3307, 2003.
DOI : 10.1063/1.1596720

M. H. Frey and D. A. Payne, Grain-size effect on structure and phase transformations for barium titanate, Physical Review B, vol.54, issue.5, p.3158, 1996.
DOI : 10.1103/PhysRevB.54.3158

L. H. Robins, D. L. Kaiser, L. D. Rotter, P. K. Schenck, G. T. Stauf et al., Investigation of the structure of barium titanate thin films by Raman spectroscopy, Journal of Applied Physics, vol.76, issue.11, p.7487, 1994.
DOI : 10.1063/1.357978

P. Wickboldt, E. Anastassakis, R. Sauer, and M. Cardona, Raman phonon piezospectroscopy in GaAs: Infrared measurements, Physical Review B, vol.35, issue.3, p.1362, 1987.
DOI : 10.1103/PhysRevB.35.1362

Y. Kim, S. G. Lee, Y. K. Park, and S. J. Park, Tailoring of the preferred orientation and microstructure in the deposition of BaTiO3 thin films using pulsed laser deposition, Materials Letters, vol.40, issue.3, p.146, 1999.
DOI : 10.1016/S0167-577X(99)00065-8

C. Young and R. G. Budynas, Roark's Formulas for Stress and Strain, 1989.

A. Hopcroft, W. D. Nix, and T. W. Kenny, What is the Young's Modulus of Silicon?, Journal of Microelectromechanical Systems, vol.19, issue.2, p.229, 2010.
DOI : 10.1109/JMEMS.2009.2039697

G. Gadag, W. Subbarayan, and . Barker, Thermo-elastic properties of dense YSZ and porous Ni-ZrO2 monolithic and isotropic materials, Journal of Materials Science, vol.25, issue.4, p.1221, 2006.
DOI : 10.1007/s10853-005-3660-6

T. Yamanaka, H. Maekawa, T. Muta, S. Matsuda, K. Kobayashi et al., Thermophysical properties of SrHfO3 and SrRuO3, Journal of Solid State Chemistry, vol.177, issue.10, p.3484, 2004.
DOI : 10.1016/j.jssc.2004.05.039

L. Cheng, M. Gabay, W. Duffy, and G. Fantozzi, Mechanical loss and Young's modulus associated with phase transitions in barium titanate based ceramics, Journal of Materials Science, vol.8, issue.C10, p.4951, 1996.
DOI : 10.1007/BF00355886

J. Wang, F. Y. Meng, X. G. Ma, M. X. Xu, and L. Q. Chen, Lattice, elastic, polarization, and electrostrictive properties of BaTiO3 from first-principles, Journal of Applied Physics, vol.108, issue.3, p.34107, 2010.
DOI : 10.1063/1.3462441

T. Uludogan, W. A. Cagin, and . Goddard, Ab initio studies on phase behavior of barium titanate, MRS Proc. 718, 2002.

G. Duan, L. Tang, L. Qin, and . Shi, First principles study of the responses to equibiaxial in-plane tensile stresses in tetragonal BaTiO3, Journal of Alloys and Compounds, vol.507, issue.2, p.513, 2010.
DOI : 10.1016/j.jallcom.2010.08.005

-. B. Park, M. J. Dicken, Z. Xu, and X. Li, Nanoindentation of the a and c domains in a tetragonal BaTiO3 single crystal, Journal of Applied Physics, vol.102, issue.8, p.83507, 2007.
DOI : 10.1063/1.2795664

D. Arlt, G. Hennings, and . De-with, Dielectric properties of fine???grained barium titanate ceramics, Journal of Applied Physics, vol.58, issue.4, p.1619, 1985.
DOI : 10.1063/1.336051