R. A. Minary-jolandan, I. Bernal, V. Kuljanishvili, H. D. Parpoil, and . Espinosa, Individual GaN Nanowires Exhibit Strong Piezoelectricity in 3D, Nano Letters, vol.12, issue.2, pp.970-976, 2011.
DOI : 10.1021/nl204043y

M. C. Qi and . Mcalpine, Nanotechnology-enabled flexible and biocompatible energy harvesting, Energy & Environmental Science, vol.11, issue.9, pp.1275-1285, 2010.
DOI : 10.1039/c0ee00137f

C. Sun, J. Shi, and X. Wang, Fundamental study of mechanical energy harvesting using piezoelectric nanostructures, Journal of Applied Physics, vol.108, issue.3, p.34309, 2010.
DOI : 10.1063/1.3462468

Y. Hu, C. Zhang, L. Xu, R. L. Lin, Z. L. Snyder et al., Self-Powered System with Wireless Data Transmission, Nano Letters, vol.11, issue.6, pp.2572-2577, 2011.
DOI : 10.1021/nl201505c

J. Lee, J. Bae, C. Lee, S. Lee, Z. L. Hong et al., Self-powered environmental sensor system driven by nanogenerators, Energy & Environmental Science, vol.124, issue.9, pp.3359-3363, 2011.
DOI : 10.1039/c1ee01558c

Y. Li, J. Xiang, F. Qian, S. Gradecak, Y. Wu et al., Dopant-Free GaN/AlN/AlGaN Radial Nanowire Heterostructures as High Electron Mobility Transistors, Nano Letters, vol.6, issue.7, pp.1468-1473, 2006.
DOI : 10.1021/nl060849z

M. Zhao, Y. Xia, X. Liu, Z. Tan, B. Huang et al., First-Principles Calculations of AlN Nanowires and Nanotubes:?? Atomic Structures, Energetics, and Surface States, The Journal of Physical Chemistry B, vol.110, issue.17, pp.8764-8768, 2006.
DOI : 10.1021/jp056755f

Y. Catti, R. Noel, and . Dovesi, Full piezoelectric tensors of wurtzite and zinc blende ZnO and ZnS by first-principles calculations, Journal of Physics and Chemistry of Solids, vol.64, issue.11, p.2183, 2003.
DOI : 10.1016/S0022-3697(03)00219-1

A. Hill and U. Waghmare, First-principles study of strain-electronic interplay in ZnO: Stress and temperature dependence of the piezoelectric constants, Physical Review B, vol.62, issue.13, pp.8802-8810, 2000.
DOI : 10.1103/PhysRevB.62.8802

M. Noel, R. Llunell, P. Orlando, R. Darco, and . Dovesi, Performance of various Hamiltonians in the study of the piezoelectric properties of crystalline compounds:???The case of BeO and ZnO, Physical Review B, vol.66, issue.21, p.214107, 2002.
DOI : 10.1103/PhysRevB.66.214107

K. Shimada, T. Sota, and K. Suzuki, First-principles study on electronic and elastic properties of BN, AlN, and GaN, Journal of Applied Physics, vol.84, issue.9, p.4951, 1998.
DOI : 10.1063/1.368739

V. Bernardini, D. Fiorentini, and . Vanderbilt, Spontaneous polarization and piezoelectric constants of III-V nitrides, Physical Review B, vol.56, issue.16, pp.10024-10027, 1997.
DOI : 10.1103/PhysRevB.56.R10024

X. Li, H. Guo, and . Gao, Size-dependent piezoelectricity in zinc oxide nanofilms from first-principles calculations, Applied Physics Letters, vol.90, issue.3, p.33108, 2007.
DOI : 10.1063/1.2430686

M. Dai, P. Gharbi, H. S. Sharma, and . Park, Surface piezoelectricity: Size effects in nanostructures and the emergence of piezoelectricity in non-piezoelectric materials, Journal of Applied Physics, vol.110, issue.10, p.104305, 2011.
DOI : 10.1063/1.3660431

J. Yvonnet, A. Mitrushchenkov, G. Chambaud, and Q. He, Finite element model of ionic nanowires with size-dependent mechanical properties determined by ab initio calculations, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.5-8, pp.614-645, 2011.
DOI : 10.1016/j.cma.2010.09.007
URL : https://hal.archives-ouvertes.fr/hal-00725390

A. Yvonnet, G. Mitrushchenkov, Q. Chambaud, S. He, and . Gu, Characterization of surface and nonlinear elasticity in wurtzite ZnO nanowires, Journal of Applied Physics, vol.111, issue.12, p.124305, 2012.
DOI : 10.1063/1.4729545
URL : https://hal.archives-ouvertes.fr/hal-00711329

G. Mitrushchenkov, J. Chambaud, Q. Yvonnet, and . He, Towards an elastic model of wurtzite AlN nanowires, Nanotechnology, vol.21, issue.25, p.255702, 2010.
DOI : 10.1088/0957-4484/21/25/255702

D. King-smith and D. Vanderbilt, Theory of polarization of crystalline solids, Physical Review B, vol.47, issue.3, p.1651, 1993.
DOI : 10.1103/PhysRevB.47.1651

D. Vanderbilt and R. D. King-smith, Electric polarization as a bulk quantity and its relation to surface charge, Physical Review B, vol.48, issue.7, p.4442, 1993.
DOI : 10.1103/PhysRevB.48.4442

J. Vanderbilt, Berry-phase theory of proper piezoelectric response, Journal of Physics and Chemistry of Solids, vol.61, issue.2, pp.147-151, 2000.
DOI : 10.1016/S0022-3697(99)00273-5

E. Jaffe, N. M. Harrison, and A. C. Hess, Ab initio study of ZnO (101??0) surface relaxation, Physical Review B, vol.49, issue.16, p.11153, 1994.
DOI : 10.1103/PhysRevB.49.11153

B. Montanari, C. M. Civalleri, R. Zicovich-wilson, and . Dovesi, Influence of the exchange-correlation functional in all-electron calculations of the vibrational frequencies of corundum (??-Al2O3), International Journal of Quantum Chemistry, vol.80, issue.7, p.1703, 2006.
DOI : 10.1002/qua.20938

J. E. Pandey, N. M. Jaffe, and . Harrison, Ab initio study of high pressure phase transition in GaN, Journal of Physics and Chemistry of Solids, vol.55, issue.11, p.1357, 1994.
DOI : 10.1016/0022-3697(94)90221-6

M. Pandey, N. M. Causa, M. Harrison, and . Seel, The high-pressure phase transitions of silicon and gallium nitride: a comparative study of Hartree - Fock and density functional calculations, Journal of Physics: Condensed Matter, vol.8, issue.22, p.3993, 1996.
DOI : 10.1088/0953-8984/8/22/004

M. Lichanot, C. Chaillet, R. Larrieu, C. Dovesi, and . Pisani, Ab initio Hartree-Fock study of solid beryllium oxide: structure and electronic properties, Chemical Physics, vol.164, issue.3, p.383, 1992.
DOI : 10.1016/0301-0104(92)87076-L

H. Nakamura, M. Ogi, and . Hirao, Elastic, anelastic, and piezoelectric coefficients of GaN, Journal of Applied Physics, vol.111, issue.1, p.13509, 2012.
DOI : 10.1063/1.3674271

A. Yoshio, H. Onodera, N. Satoh, H. Sakagami, and . Yamashita, Crystal structure of ZnO:Li at 293 K and 19 K by x-ray diffraction, Ferroelectrics, vol.35, issue.1, p.133, 2001.
DOI : 10.1143/JJAP.37.5315

D. Carlotti, G. Fioretto, E. Socino, and . Verona, Brillouin scattering determination of the whole set of elastic constants of a single transparent film of hexagonal symmetry, Journal of Physics: Condensed Matter, vol.7, issue.48, p.9147, 1995.
DOI : 10.1088/0953-8984/7/48/006

F. Perger, J. Criswell, B. Civalleri, R. Dovesi, and . Comp, Ab-initio calculation of elastic constants of crystalline systems with the CRYSTAL code, Computer Physics Communications, vol.180, issue.10, p.1753, 2009.
DOI : 10.1016/j.cpc.2009.04.022

E. Mcneil, M. Grimsditch, and R. H. French, Vibrational Spectroscopy of Aluminum Nitride, Journal of the American Ceramic Society, vol.5, issue.8, p.1132, 1993.
DOI : 10.1111/j.1151-2916.1993.tb03730.x

S. Ruiz, P. Alvarez, and . Alemany, Electronic structure and properties of AlN, Physical Review B, vol.49, issue.11, p.7115, 1994.
DOI : 10.1103/PhysRevB.49.7115

D. Bykhovski, B. L. Gelmont, and M. S. Shur, Elastic strain relaxation and piezoeffect in GaN-AlN, GaN-AlGaN and GaN-InGaN superlattices, Journal of Applied Physics, vol.81, issue.9, p.6332, 1997.
DOI : 10.1063/1.364368