R. Abeyaratne and N. Triantafyllidis, An Investigation of Localization in a Porous Elastic Material Using Homogenization Theory, Journal of Applied Mechanics, vol.51, issue.3, pp.481-486, 1984.
DOI : 10.1115/1.3167661

J. Alibert, F. Isola, and P. Seppecher, 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

M. Camar-eddine and P. Seppecher, Determination of the Closure of the Set of Elasticity Functionals, Archive for Rational Mechanics and Analysis, vol.170, issue.3, pp.211-245, 2003.
DOI : 10.1007/s00205-003-0272-7

D. Cioranescu and D. A. Rebnord, Asymptotic Anal, pp.107-130, 1995.

S. Bardenhagen and N. Triantafyllidis, Derivation of higher order gradient continuum theories in 2,3-d non-linear elasticity from periodic lattice models, Journal of the Mechanics and Physics of Solids, vol.42, issue.1, pp.111-139, 1994.
DOI : 10.1016/0022-5096(94)90051-5

A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotics Analysis for periodic Structures, 1978.

J. Bleustein, A note on the boundary conditions of toupin's strain-gradient theory, International Journal of Solids and Structures, vol.3, issue.6, pp.1053-1057, 1967.
DOI : 10.1016/0020-7683(67)90029-7

E. Cosserat and F. Cosserat, Note sur la thorie de l'action euclidienne Paris, 1908.

F. Dell-'isola and P. Seppecher, Comptes Rendus de l'Academie de Sciences -Serie IIb, pp.303-308, 1995.

D. Carlo, A. Rizzi, N. Tatone, and A. , Continuum modelling of a beam-like latticed truss: Identification of the constitutive functions for the contact and inertial actions, Meccanica, vol.7, issue.3, pp.168-174, 1990.
DOI : 10.1007/BF01556436

M. Degiovanni, A. Marzocchi, and A. Musesti, Cauchy Fluxes Associated with Tensor Fields Having Divergence Measure, Archive for Rational Mechanics and Analysis, vol.147, issue.3, pp.197-223, 1999.
DOI : 10.1007/s002050050149

A. Green and R. Rivlin, On cauchy's equations of motion, Zeitschrift f??r angewandte Mathematik und Physik ZAMP, vol.15, issue.3, pp.290-292, 1964.
DOI : 10.1007/BF01607019

M. Lucchesi, M. Silhav, and N. Zani, On the Balance Equation for Stresses Concentrated on Curves, Journal of Elasticity, vol.75, issue.2, pp.209-223, 2008.
DOI : 10.1007/s10659-007-9139-8

A. Marzocchi and A. Musesti, Decomposition and integral representation of Cauchy interactions associated with measures, Continuum Mechanics and Thermodynamics, vol.13, issue.3, pp.149-169, 2001.
DOI : 10.1007/s001610100046

G. Maugin and A. Metrikine, Mechanics of Generalized Continua, One Hundred Years After the Cosserats, 2010.

R. 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

R. D. Mindlin and N. Eshel, On first strain-gradient theories in linear elasticity, International Journal of Solids and Structures, vol.4, issue.1, pp.109-124, 1968.
DOI : 10.1016/0020-7683(68)90036-X

R. D. Mindlin and H. Tiersten, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, vol.190, issue.1, pp.415-448, 1962.
DOI : 10.1007/BF00253946

M. Silhavy, The existence of the flux vector and the divergence theorem for general Cauchy fluxes, Archive for Rational Mechanics and Analysis, vol.3, issue.3, pp.195-211, 1985.
DOI : 10.1007/BF00251730

M. Silhavy, Cauchy's stress theorem and tensor fields with divergences in Lp, Archive for Rational Mechanics and Analysis, vol.84, issue.3, pp.223-255, 1991.
DOI : 10.1007/BF00375122

R. A. Toupin, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, vol.38, issue.1, pp.385-414, 1962.
DOI : 10.1007/BF00253945

URL : https://hal.archives-ouvertes.fr/hal-00852443

N. Triantafyllidis and S. Bardenhagen, The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models, Journal of the Mechanics and Physics of Solids, vol.44, issue.11, pp.1891-1928, 1996.
DOI : 10.1016/0022-5096(96)00047-6

C. A. Truesdell, A First Course in Rational Continuum Mechanics, I General Concepts, 1977.