G. A. Francfort and J. Marigo, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, p.1319, 1998.
DOI : 10.1016/S0022-5096(98)00034-9

M. Kulkarni, S. Pal, and D. Kubair, Mode-3 spontaneous crack propagation in unsymmetric functionally graded materials, International Journal of Solids and Structures, vol.44, issue.1, p.229, 2007.
DOI : 10.1016/j.ijsolstr.2006.04.024

URL : http://doi.org/10.1016/j.ijsolstr.2006.04.024

A. Battista, L. Rosa, R. Erba, and L. Greco, Mathematics and Mechanics of Solids doi: 10, p.1081286516657889, 1177.

R. D. Mindlin, Second gradient of strain and surface-tension in linear elasticity, International Journal of Solids and Structures, vol.1, issue.4, p.417, 1965.
DOI : 10.1016/0020-7683(65)90006-5

A. C. Eringen, Microcontinuum field theories: I. Foundations and Solids, 2012.
DOI : 10.1007/978-1-4612-0555-5

P. Germain, The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure, SIAM Journal on Applied Mathematics, vol.25, issue.3, p.556, 1973.
DOI : 10.1137/0125053

R. D. Mindlin, Archive for Rational Mechanics and Analysis, 1964.

P. Steinmann, A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity, International Journal of Solids and Structures, vol.31, issue.8, p.1063, 1994.
DOI : 10.1016/0020-7683(94)90164-3

J. Altenbach, H. Altenbach, and V. A. Eremeyev, On generalized Cosserat-type theories of plates and shells: a short review and bibliography, Archive of Applied Mechanics, vol.31, issue.3, p.73, 2010.
DOI : 10.1007/s00419-009-0365-3

URL : https://hal.archives-ouvertes.fr/hal-00827365

L. Placidi, S. H. Faria, and K. Hutter, On the role of grain growth, recrystallization and polygonization in a continuum theory for anisotropic ice sheets, Annals of Glaciology, vol.39, issue.1, p.49, 2004.
DOI : 10.3189/172756404781814410

V. Eremeyev, E. Ivanova, N. Morozov, and S. Strochkov, The spectrum of natural oscillations of an array of micro- or nanospheres on an elastic substrate, Doklady Physics, vol.52, issue.12, pp.699-702, 2007.
DOI : 10.1134/S1028335807120142

URL : https://hal.archives-ouvertes.fr/hal-00826529

A. Madeo, L. Placidi, and G. Rosi, Towards the Design of Metamaterials with Enhanced Damage Sensitivity: Second Gradient Porous Materials, Research in Nondestructive Evaluation, vol.138, issue.4, p.99, 2014.
DOI : 10.1007/s00161-012-0266-5

URL : https://hal.archives-ouvertes.fr/hal-01167198

V. Eremeyev, Acceleration waves in micropolar elastic media, Doklady Physics, vol.50, issue.4, pp.204-206, 2005.
DOI : 10.1134/1.1922562

URL : https://hal.archives-ouvertes.fr/hal-00827543

C. S. Chang and A. Misra, Application of Uniform Strain Theory to Heterogeneous Granular Solids, Journal of Engineering Mechanics, vol.116, issue.10, p.2310, 1990.
DOI : 10.1061/(ASCE)0733-9399(1990)116:10(2310)

URL : https://hal.archives-ouvertes.fr/hal-00556103

G. Thiagarajan and A. Misra, Fracture simulation for anisotropic materials using a virtual internal bond model, International Journal of Solids and Structures, vol.41, issue.11-12, p.2919, 2004.
DOI : 10.1016/j.ijsolstr.2004.01.013

S. J. Koh, H. P. Lee, C. Lu, and Q. H. Cheng, Molecular dynamics simulation of a solid platinum nanowire under uniaxial tensile strain: Temperature and strain-rate effects, Physical Review B, vol.72, issue.8, p.85414, 2005.
DOI : 10.1103/PhysRevB.72.085414

A. Misra, L. A. Roberts, and S. M. Levorson, Reliability analysis of drilled shaft behavior using finite difference method and Monte Carlo simulation, Geotechnical and Geological Engineering, vol.131, issue.8, p.65, 2007.
DOI : 10.1007/s10706-006-0007-2

S. Kim, A. C. Van-duin, and V. B. Shenoy, Effect of electrolytes on the structure and evolution of the solid electrolyte interphase (SEI) in Li-ion batteries: A molecular dynamics study, Journal of Power Sources, vol.196, issue.20, p.8590, 2011.
DOI : 10.1016/j.jpowsour.2011.05.061

M. E. Tuckerman, molecular dynamics: basic concepts, current trends and novel applications, Journal of Physics: Condensed Matter, vol.14, issue.50, p.1297, 2002.
DOI : 10.1088/0953-8984/14/50/202

M. C. Payne, M. P. Teter, D. C. Allan, T. Arias, and J. Joannopoulos, total-energy calculations: molecular dynamics and conjugate gradients, Reviews of Modern Physics, vol.64, issue.4, p.1045, 1992.
DOI : 10.1103/RevModPhys.64.1045

M. P. Allen, Computational Soft Matter: From Synthetic Polymers to, Proteins, vol.23, issue.1, 2004.

M. Kot, H. Nagahashi, and P. Szymczak, The Visual Computer 31, p.1339, 2015.

R. E. Bishop and D. C. Johnson, The mechanics of vibration, 2011.

T. J. Hughes, J. A. Cottrell, and Y. Bazilevs, Computer methods in applied mechanics and engineering 194, p.4135, 2005.

W. A. Wall, M. A. Frenzel, and C. Cyron, Computer methods in applied mechanics and engineering 197, p.2976, 2008.

Y. Toklu, Nonlinear analysis of trusses through energy minimization, Computers & Structures, vol.82, issue.20-21, p.1581, 2004.
DOI : 10.1016/j.compstruc.2004.05.008

A. Kaveh and S. Talatahari, in Harmony search algorithms for structural design optimization, pp.159-198, 2009.

M. Clerc, Particle swarm optimization, 2010.
DOI : 10.1002/9780470612163

URL : https://hal.archives-ouvertes.fr/hal-01155162

M. Vaz-jr, E. Cardoso, and J. Stahlschmidt, Particle swarm optimization and identification of inelastic material parameters, Engineering Computations, vol.30, issue.7, p.936, 2013.
DOI : 10.1108/02644401011029916

N. Bellomo and J. Soler, ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS, Mathematical Models and Methods in Applied Sciences, vol.219, issue.supp01, p.1140006, 2012.
DOI : 10.1016/j.jtbi.2004.12.025

N. Bellomo and C. Dogbe, ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS, Mathematical Models and Methods in Applied Sciences, vol.199, issue.supp01, p.1317, 2008.
DOI : 10.1016/S0191-2615(98)00014-9

N. Bellomo, D. Knopoff, and J. Soler, ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES, Mathematical Models and Methods in Applied Sciences, vol.113, issue.10, p.1861, 2013.
DOI : 10.1016/j.jtbi.2004.12.025

S. Berrimi and S. A. Messaoudi, Nonlinear Analysis: Theory, Methods & Applications, vol.64, p.2314, 2006.

S. A. Messaoudi and N. Tatar, Nonlinear Analysis: Theory, Methods & Applications, vol.68, p.785, 2008.

F. Liang and H. Gao, Boundary Value Problems, 2011.

G. C. Sih, Mechanics of fracture initiation and propagation: surface and volume energy density applied as failure criterion, 2012.
DOI : 10.1007/978-94-011-3734-8

A. Luongo, Mathematics and Mechanics of Solids, p.1081286515616053, 2015.

G. Piccardo, L. C. Pagnini, and F. Tubino, Some research perspectives in galloping phenomena: critical conditions and post-critical behavior, Continuum Mechanics and Thermodynamics, vol.61, issue.11, p.261, 2015.
DOI : 10.1007/s00161-014-0374-5