A. Al-rub and R. K. , Modeling the interfacial effect on the yield strength and flow stress of thin metal films on substrates, Mechanics Research Communications, vol.35, issue.1-2, pp.65-72, 2008.
DOI : 10.1016/j.mechrescom.2007.08.011

J. Alibert, 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

C. Ban? and A. , Marzocchi and A. Musesti On the principle of virtual powers in continuum mechanics Ricerche di, Matematica, vol.55, pp.299-310, 2006.

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

V. Berdichevsky, Variational Principles of Continuum Mechanics, 2009.

B. Bourdin, G. A. Francfort, and &. Marigo, The variational approach to fracture, J. Elasticity, vol.91, pp.1-3, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00551079

P. Casal and H. Et-gouin, Relation entre l'équation de l'énergie et l'équation du mouvement en théorie de Korteweg de la capillaritè, C. R. Acad. Sci. Paris, t. Série II, vol.300, issue.7, pp.231-233, 1985.

P. Casal, La théorie du second gradient et la capillarité, C. R. Acad. Sci. Paris, t, vol.274, pp.1571-1574, 1972.

F. Collin, R. Chambon, and R. Charlier, A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models, International Journal for Numerical Methods in Engineering, vol.51, issue.11, pp.1749-1772, 2006.
DOI : 10.1002/nme.1515

E. Cosserat, C. , and F. , Note sur la théorie de l'action euclidienne, 1908.

F. 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'Academie de Sciences -Serie IIb: Mecanique, Physique, Chimie, Astronomie, pp.303-308, 1995.

F. Isola and P. Seppecher, Edge Contact Forces and Quasi-Balanced Power, Meccanica, vol.32, issue.1, pp.33-52, 1997.
DOI : 10.1023/A:1004214032721

URL : https://hal.archives-ouvertes.fr/hal-00494641

F. Dell-'isola and P. Seppecher, Lecture notes of CISM Course C1006 " Variational Models and Methods in Solid and Fluid Mechanics, pp.12-16, 2010.

F. Dell-'isola, G. Sciarra, and S. Vidoli, Generalized Hooke's law for isotropic second gradient materials, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.34, issue.2107, pp.2177-2196, 2009.
DOI : 10.1098/rspa.2008.0530

F. Dell-'isola, G. Sciarra, and R. C. Batra, Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid, Journal of Elasticity, vol.72, issue.1-3, pp.99-120, 2003.
DOI : 10.1023/B:ELAS.0000018765.68432.bb

URL : https://hal.archives-ouvertes.fr/hal-01362142

F. Dell-'isola, M. Guarascio, and K. Hutter, A variational approach for the deformation of a saturated porous solid. A second-gradient theory extending Terzaghi's effective stress principle, Archive of Applied Mechanics (Ingenieur Archiv), vol.70, issue.5, pp.323-337, 2000.
DOI : 10.1007/s004199900020

URL : https://hal.archives-ouvertes.fr/hal-00502003

A. , D. Carlo-e, and A. , Tatone (Iper-)Tensioni & Equi-Potenza AIMETA'01 XV Congresso AIMETA di Meccanica Teorica e Applicata, 2001.

M. Degiovanni, A. Marzocchi, and A. , Edge-force densities and second-order powers, Annali di Matematica Pura ed Applicata, vol.84, issue.1, pp.81-103, 2006.
DOI : 10.1007/s10231-004-0129-1

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

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.204.7519

J. E. Dunn and J. Serrin, On the thermomechanics of interstitial working, Arch. Rational Mech. Anal, vol.88, issue.2, pp.95-133, 1985.

E. Fried, M. E. Gurtin, and . Arch, Rational Mech, Tractions, Balances, and Boundary Conditions for Nonsimple Materials with Applications to Liquid Flow at Small-Length Scales, pp.513-554, 2006.

P. Germain, La méthode des puissances virtuelles en mécanique des milieux continus. Première partie. Théorie du second gradient, J. Mécanique, vol.12, pp.235-274, 1973.

P. Germain, The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure, SIAM Journal on Applied Mathematics, vol.25, issue.3, pp.556-575, 1973.
DOI : 10.1137/0125053

P. Germain, Sur l'application de la méthode des puissances virtuelles en mécanique des milieux continus, C. R. Acad. Sci. Paris Série A-B, vol.274, pp.1051-1055, 1972.

M. Gurtin, Con?gurational Force as a Basic Concept of Continuum Physics, 2000.

N. Kirchner and P. Steinmann, On the material setting of gradient hyperelasticity. (English summary) Math, Mech. Solids, vol.12, 2007.

R. Larsson and S. Diebels, A second-order homogenization procedure for multi-scale analysis based on micropolar kinematics, International Journal for Numerical Methods in Engineering, vol.2, issue.12, pp.2485-2512, 2007.
DOI : 10.1002/nme.1854

M. Lucchesi, M. Silhavý, and N. , 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, Balanced virtual powers in Continuum Mechanics, Meccanica, vol.38, issue.3, pp.369-389, 2003.
DOI : 10.1023/A:1023301303945

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. M. Mathreview and M. , 99e:73005) on the paper G. Capriz and G. Mazzini Invariance and balance in continuum mechanics.Nonlinear analysis and continuum mechanics, pp.27-35, 1992.

R. Mindlin, Micro-structure in linear elasticity, Archive for Rational Mechanics and Analysis, vol.16, issue.1, pp.51-78, 1964.
DOI : 10.1007/BF00248490

I. Mueller and T. Ruggeri, Extended Thermodynamics, 1993.
DOI : 10.1007/978-1-4684-0447-0

W. Noll and E. G. Virga, On edge interactions and surface tension, Archive for Rational Mechanics and Analysis, vol.17, issue.1, pp.1-31, 1990.
DOI : 10.1007/BF00375698

C. Pideri and P. Seppecher, A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium, Continuum Mechanics and Thermodynamics, vol.9, issue.5, pp.241-257, 1997.
DOI : 10.1007/s001610050069

URL : https://hal.archives-ouvertes.fr/hal-00527291

P. Podio-guidugli, Contact interactions, stress, and material symmetry, for nonsimple elastic materials. (English, Serbo-Croatian summary) Issue dedicated to the memory of Professor Rastko Stojanovic, Theoret . Appl. Mech, vol.28, pp.29-261, 2002.

P. Podio-guidugli and M. Vianello, Hypertractions and hyperstresses convey the same mechanical information ContinuumMech, Thermodyn, vol.22, pp.163-176, 2010.

. Polizzotto, Strain-gradient elastic-plastic material models and assessment of the higher order boundary conditions, European Journal of Mechanics - A/Solids, vol.26, issue.2, pp.189-211, 2007.
DOI : 10.1016/j.euromechsol.2006.07.005

L. Russo, The Forgotten Revolution, 2003.
DOI : 10.1007/978-3-642-18904-3

G. Sciarra, Second gradient poromechanics, International Journal of Solids and Structures, vol.44, issue.20, pp.6607-6629, 2007.
DOI : 10.1016/j.ijsolstr.2007.03.003

URL : https://hal.archives-ouvertes.fr/hal-00503231

G. Sciarra, . Isola, . Francesco, and . Hutter, A solid-fluid mixture model allowing for solid dilatation under external pressure, Continuum Mechanics and Thermodynamics, vol.13, issue.5, pp.287-306, 2001.
DOI : 10.1007/s001610100053

URL : https://hal.archives-ouvertes.fr/hal-00499418

G. Sciarra, F. Dell-'isola, N. Ianiro, and A. Madeo, A variational deduction of second gradient poroelasticity I: general theory, Journal of Mechanics of Materials and Structures, vol.3, issue.3, pp.507-526, 2008.
DOI : 10.2140/jomms.2008.3.507

URL : https://hal.archives-ouvertes.fr/hal-01362159

P. Seppecher, Etude des conditions aux limites en th´eorie du second gradient: cas de la capillarit´e, C. R. Acad. Sci. Paris, t. S´erie II, vol.309, pp.497-502, 1989.

P. Seppecher, Etude d'une Mod´elisation des Zones Capillaires Fluides: Interfaces et Lignes de Contact, Thèse de l, 1987.

M. ?ilhavý, 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. ?ilhavý, 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

M. Sokolowski, Theory of couple-stresses in bodies with constrained rotations, CISM courses and lectures, 1970.
DOI : 10.1007/978-3-7091-2943-2

A. S. Suiker and C. S. Chang, Application of higher-order tensor theory for formulating enhanced continuum models, Acta Mechanica, vol.33, issue.1-4, pp.223-234, 2000.
DOI : 10.1007/BF01190020

R. 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, On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models, Journal of Elasticity, vol.29, issue.3, 1993.
DOI : 10.1007/BF00043251

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

G. Vailati, Il principio dei lavori virtuali da Aristotele a Erone d'Alessandria, Scritti (Bologna, Forni, pp.113-128, 1987.