R. Miller and V. Shenevoy, Size-dependent elastic properties of nanosized structural elements, Nanotechnology, vol.11, issue.3, pp.139-147, 2000.
DOI : 10.1088/0957-4484/11/3/301

J. Haile, Molecular Dynamics Simulation, 1992.

W. Hoover, Molecular Dynamics, 1986.

D. Rapaport, The Art of Molecular Dynamics Simulation, 2004.

Y. Povstenko, Theoretical investigation of phenomena caused by heterogeneous surface tension in solids, Journal of the Mechanics and Physics of Solids, vol.41, issue.9, pp.1499-1514, 1993.
DOI : 10.1016/0022-5096(93)90037-G

R. Hadal, Q. Yuan, J. Jog, and R. Misra, On stress whitening during surface deformation in clay-containing polymer nanocomposites: A microstructural approach, Materials Science and Engineering: A, vol.418, issue.1-2, pp.268-281, 2006.
DOI : 10.1016/j.msea.2005.11.032

Y. Benveniste, A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media, Journal of the Mechanics and Physics of Solids, vol.54, issue.4, pp.708-734, 2006.
DOI : 10.1016/j.jmps.2005.10.009

M. Gurtin, J. Weissmuller, and F. Larche, A general theory of curved deformable interfaces in solids at equilibrium, Philosophical Magazine A, vol.57, issue.5, pp.1093-1109, 1998.
DOI : 10.1098/rstl.1805.0005

P. Sharma and S. Ganti, Size-Dependent Eshelby???s Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies, Journal of Applied Mechanics, vol.71, issue.5, pp.663-671, 2006.
DOI : 10.1115/1.1781177

P. Sharma, S. Ganti, and N. Bathe, Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities, Applied Physics Letters, vol.82, issue.4, 2003.
DOI : 10.1063/1.1539929

T. Chen, G. Dvorak, and C. Yu, Solids containing spherical nano-inclusions with interface stresses: Effective properties and thermal???mechanical connections, International Journal of Solids and Structures, vol.44, issue.3-4, pp.3-4941, 2007.
DOI : 10.1016/j.ijsolstr.2006.05.030

H. Duan, J. Wang, Z. Huang, and B. Karihaloo, Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress, Journal of the Mechanics and Physics of Solids, vol.53, issue.7, pp.1574-1596, 2005.
DOI : 10.1016/j.jmps.2005.02.009

P. Sharma, S. Ganti, and N. Bathe, Erratum: " 'Effect of surfaces on the size-dependent elastic state of nanoinhomogeneities, Appl. Phys. Lett, vol.82, issue.894 049901, 2003.

L. Quang, H. He, and Q. , Estimation of the imperfect thermoelastic moduli of fibrous nanocomposites with cylindrically anisotropic phases

L. Quang, H. He, and Q. , Size-dependent effective thermoelastic properties of nanocomposites with spherically anisotropic phases, Journal of the Mechanics and Physics of Solids, vol.55, issue.9, pp.1889-1921, 2007.
DOI : 10.1016/j.jmps.2007.02.005
URL : https://hal.archives-ouvertes.fr/hal-00693606

R. Dingreville, J. Qu, and M. Cherkaoui, Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films, Journal of the Mechanics and Physics of Solids, vol.53, issue.8, pp.1827-1854, 2005.
DOI : 10.1016/j.jmps.2005.02.012

W. Gao, S. Yu, and G. Huang, Finite element characterization of the size-dependent mechanical behaviour in nanosystems, Nanotechnology, vol.17, pp.1118-1122, 2006.

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1998.
DOI : 10.1016/0021-9991(88)90002-2

T. Belytschko and T. Black, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, vol.55, issue.5, pp.601-620, 1999.
DOI : 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S

N. Moës, J. Dolbow, and T. Belytschko, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.131-156, 1999.
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A

N. Sukumar, D. Chopp, N. Moës, and T. Belytschko, Modeling holes and inclusions by level sets in the extended finite-element method, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.46-47, pp.6183-6200, 2001.
DOI : 10.1016/S0045-7825(01)00215-8
URL : https://hal.archives-ouvertes.fr/hal-01007065

N. Sukumar, Z. Huang, J. Prevost, and Z. Suo, Partition of unity enrichment for bimaterial interface cracks, International Journal for Numerical Methods in Engineering, vol.59, issue.8, pp.1075-1102, 2004.
DOI : 10.1002/nme.902

J. Thorpe, Elementary Topics in Differential Geometry, 1979.
DOI : 10.1007/978-1-4612-6153-7

R. Cammarata, Surface and interface stress effects in thin films, Progress in Surface Science, vol.46, issue.1, pp.1-38, 1994.
DOI : 10.1016/0079-6816(94)90005-1

J. Chessa and T. Belytschko, An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension, International Journal for Numerical Methods in Engineering, vol.37, issue.13, pp.2041-2064, 2003.
DOI : 10.1002/nme.946

T. Belytchko, C. Parimi, N. Moës, N. Sukumar, and S. Usui, Structured extended finite element methods for solids defined by implicit surfaces, International Journal for Numerical Methods in Engineering, vol.78, issue.1-2, pp.609-635, 2003.
DOI : 10.1002/nme.686

N. Moës, M. Cloirec, P. Cartraud, and J. Remacle, A computational approach to handle complex microstructure geometries, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.3163-3177, 2003.
DOI : 10.1016/S0045-7825(03)00346-3

V. Shenoy, Atomistic calculations of elastic properties of metallic fcc crystal surfaces, Physical Review B, vol.71, issue.9, p.94104, 2005.
DOI : 10.1103/PhysRevB.71.094104

R. Barrett, T. Berry, and C. , Templates for the solution of linear systems: building blocks for iterative methods, 1994.
DOI : 10.1137/1.9781611971538