J. J. Alibert, P. Seppecher, and F. Isola, Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients, Mathematics and Mechanics of Solids, vol.8, issue.1, pp.51-73, 2003.
DOI : 10.1177/1081286503008001658
URL : https://hal.archives-ouvertes.fr/hal-00497327

N. Auffray, F. Dell-'isola, V. Eremeyev, A. Madeo, R. et al., Analytical continuum mechanics a la Hamilton-Piola: least action principle for second gradient continua and capillary fluids. arXiv preprint arXiv:1305, pp.10-1177, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00836085

A. Carcaterra and A. Akay, Dissipation in a finite-size bath, Physical Review E, vol.84, issue.1, 2011.
DOI : 10.1103/PhysRevE.84.011121

A. Carcaterra and A. Akay, Theoretical foundation of apparent damping and irreversible energy exchange in linear conservative dynamical systems, J. Acous. Soc. of Am, vol.121, 1971.

C. Chesnais, C. Boutin, and H. Stèphane, Effects of the local resonance on the wave propagation in periodic frame structures: Generalized Newtonian mechanics, The Journal of the Acoustical Society of America, vol.132, issue.4, p.2873, 2012.
DOI : 10.1121/1.4744975
URL : https://hal.archives-ouvertes.fr/hal-00853842

F. Dell-'isola and P. Seppecher, The relationship between edge contact forces, double force and interstitial working allowed by the principle of virtual power, Comptes rendus de l'Acadmie des Sciences Serie IIb, pp.303-308, 1995.

F. Dell-'isola, P. Seppecher, and A. Madeo, How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approachàapproachà la D'Alembert, Zeitschrift fü r angewandte Mathematik und Physik 63.6, pp.1119-1141, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00662376

F. Dell-'isola, U. Andreaus, and L. Placidi, At the origins and in the vanguard of peri-dynamics, non-local and higher gradient continuum mechanics. An underestimated and still topical contribution of Gabrio Piola. arXiv preprint arXiv:1310, p.10, 1177.

J. E. Dunn and J. Serrin, On the thermomechanics of interstitial working in The Breadth and Depth of Continuum Mechanics, pp.705-743, 1986.

P. Germain, The method of virtual power in continuum mechanics, Journal of Applied Mathematics, vol.25, pp.556-575, 1973.

A. E. Green and R. S. Rivlin, Multipolar continuum mechanics Archive for Rational Mechanics and Analysis, pp.113-127, 1964.

M. E. Gurtin, Thermodynamics and the possibility of spatial interaction in elastic materials Archive for Rational Mechanics and Analysis 19, pp.339-352, 1965.

D. Hilbert, Begründung der kinetischen Gastheorie, Mathematische Annalen, vol.7217, pp.331-407, 1916.
DOI : 10.1007/bf01456676

A. G. Kolpakovs, Determination of the average characteristics of elastic frameworks, Journal of Applied Mathematics and Mechanics, vol.49, issue.6, pp.739-745, 1985.
DOI : 10.1016/0021-8928(85)90011-5

S. H. Lee, C. M. Park, Y. M. Seo, Z. G. Wang, and C. K. Kim, Composite Acoustic Medium with Simultaneously Negative Density and Modulus, Physical Review Letters, vol.104, issue.5, 2010.
DOI : 10.1103/PhysRevLett.104.054301

A. Madeo, L. Placidi, R. , and G. , Towards the design of meta-materials with enhanced damage sensitivity: second Gradient porous materials, Research in Nondestructive Evaluation, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01167198

G. W. Milton and A. V. Cherkaev, Which Elasticity Tensors are Realizable?, Journal of Engineering Materials and Technology, vol.117, issue.4, p.483, 1995.
DOI : 10.1115/1.2804743

G. M. Milton, M. Briane, and J. R. Willis, On cloaking for elasticity and physical equations with a transformation invariant form, New Journal of Physics, vol.8, issue.10, p.248, 2006.
DOI : 10.1088/1367-2630/8/10/248
URL : https://hal.archives-ouvertes.fr/hal-00452194

R. D. Mindlin, Second gradient of strain and surface-tension in linear elasticity, International Journal of Solids and Structures, vol.1, issue.4, pp.417-438, 1965.
DOI : 10.1016/0020-7683(65)90006-5

P. Neff, I. D. Ghiba, A. Madeo, L. Placidi, and G. Rosi, A unifying perspective: the relaxed linear micromorphic continuum, Continuum Mechanics and Thermodynamics, vol.44, issue.1, pp.1-43, 1007.
DOI : 10.1007/s00161-013-0322-9
URL : https://hal.archives-ouvertes.fr/hal-01167202

G. Piccardo, G. Ranzi, and A. Luongo, A complete dynamic approach to the Generalized Beam Theory cross-section analysis including extension and shear modes, Mathematics and Mechanics of Solids, vol.19, issue.8, p.1081286513493107, 2013.
DOI : 10.1177/1081286513493107

P. Seppecher, J. Jean-jacques-alibert, and F. Dell-isola, Linear elastic trusses leading to continua with exotic mechanical interactions, Journal of Physics: Conference Series, vol.319, issue.1, 2011.
DOI : 10.1088/1742-6596/319/1/012018
URL : https://hal.archives-ouvertes.fr/hal-00630098

R. A. Toupin, Elastic Materials with couple-stresses. Archive for Rational Mechanics and Analysis, pp.385-414, 1962.
DOI : 10.1007/bf00253945
URL : https://hal.archives-ouvertes.fr/hal-00852443

B. Xu, F. Arias, S. T. Brittain, X. Zhao, B. Grzybowski et al., Making Negative Poisson???s Ratio Microstructures by Soft Lithography, Advanced Materials, vol.11, issue.14, pp.1186-1189, 1999.
DOI : 10.1002/(SICI)1521-4095(199910)11:14<1186::AID-ADMA1186>3.0.CO;2-K

S. Zouhdi, S. Ari, and A. P. Vinogradov, Metamaterials and Plasmonics: Fundamentals, Modelling, Applications, 2008.
DOI : 10.1007/978-1-4020-9407-1