J. Alibert, P. Seppecher, and F. , dell'Isola, Truss modular beams with deformation energy depending on higher displacement gradients, Math. Mech. Solids, vol.8, pp.1-51, 2003.

U. Andreaus and P. Baragatti, Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response, Journal of Sound and Vibration, vol.330, issue.4, pp.721-742, 2011.
DOI : 10.1016/j.jsv.2010.08.032

U. Andreaus, L. Placidi, and G. Rega, Numerical simulation of the soft contact dynamics of an impacting bilinear oscillator, Communications in Nonlinear Science and Numerical Simulation, vol.15, issue.9, pp.9-2603, 2010.
DOI : 10.1016/j.cnsns.2009.10.015
URL : https://hal.archives-ouvertes.fr/hal-01403832

U. Andreaus and P. Baragatti, Fatigue crack growth, free vibrations, and breathing crack detection of aluminium alloy and steel beams, The Journal of Strain Analysis for Engineering Design, vol.42, issue.7, pp.7-595, 2009.
DOI : 10.1243/03093247JSA527

U. Andreaus, L. Placidi, and G. Rega, Soft impact dynamics of a cantilever beam: equivalent SDOF model versus infinite-dimensional system, Proc. IMechE, pp.10-2444, 2011.
DOI : 10.1177/0954406211414484

V. I. Arnold, Mathematical Methods of Classical Mechanics, 1979.

C. Banfi, A. Marzocchi, and A. Musesti, On the principle of virtual powers in continuum mechanics, Ricerche di Matematica, vol.55, issue.2, pp.55-299, 2006.
DOI : 10.1007/s11587-006-0017-7

S. Bardenhagen and N. Triantafyllidis, Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models, J. Mech. Phys. Solids, vol.42, pp.1-111, 1994.

E. Benvenuto, La scienza delle costruzioni e il suo sviluppo storico, 1981.

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

F. Bouyge, I. Jasiuk, and M. Ostoja-starzewski, A micromechanically based couple-stress model of an elastic two-phase composite, Int. Journal Solids Structures, vol.38, pp.10-13, 2001.

F. Bouyge, I. Jasiuk, S. Boccara, and M. Ostoja-starzewski, A micromechanically based couplestress model of an elastic orthotropic two-phase composite, Eur. J. Mech./A: Solids, vol.21, pp.3-465, 2002.

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

A. Carcaterra and A. Akay, Dissipation in a finite-size bath, Physical Review E, vol.84, issue.1, p.11121, 2011.
DOI : 10.1103/PhysRevE.84.011121

A. Carcaterra, Ensemble energy average and energy flow relationships for nonstationary vibrating systems, Journal of Sound and Vibration, vol.288, issue.3, pp.751-790, 2005.
DOI : 10.1016/j.jsv.2005.07.015

A. Carcaterra and A. Sestieri, ENERGY DENSITY EQUATIONS AND POWER FLOW IN STRUCTURES, Journal of Sound and Vibration, vol.188, issue.2, pp.269-282, 1995.
DOI : 10.1006/jsvi.1995.0591

A. Carcaterra, A. Akay, and I. M. Ko, Near-irreversibility in a conservative linear structure with singularity points in its modal density, The Journal of the Acoustical Society of America, vol.119, issue.4, pp.4-2141, 2006.
DOI : 10.1121/1.2179747

A. Carcaterra, E. Ciappi, A. Iafrati, and E. F. Campana, SHOCK SPECTRAL ANALYSIS OF ELASTIC SYSTEMS IMPACTING ON THE WATER SURFACE, Journal of Sound and Vibration, vol.229, issue.3, pp.3-579, 2000.
DOI : 10.1006/jsvi.1999.2517

A. Carcaterra and A. Akay, Theoretical foundations of apparent-damping phenomena and nearly irreversible energy exchange in linear conservative systems, The Journal of the Acoustical Society of America, vol.121, issue.4, pp.4-1971, 2007.
DOI : 10.1121/1.2697030

P. Casal and E. H. Gouin, Relation entre l'´ equation de l'´ energie et l'´ equation 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.

A. Chambolle, G. A. Francfort, and J. Marigo, Revisiting Energy Release Rates in Brittle Fracture, Journal of Nonlinear Science, vol.187, issue.11, pp.395-424, 2010.
DOI : 10.1007/s00332-010-9061-2
URL : https://hal.archives-ouvertes.fr/hal-00490537

A. Chambolle, G. A. Francfort, and J. Marigo, When and how do cracks propagate?, Journal of the Mechanics and Physics of Solids, vol.57, issue.9, pp.56-16141622, 2009.
DOI : 10.1016/j.jmps.2009.05.009
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.3058

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

A. Culla, A. Sestieri, and A. Carcaterra, ENERGY FLOW UNCERTAINTIES IN VIBRATING SYSTEMS: DEFINITION OF A STATISTICAL CONFIDENCE FACTOR, Mechanical Systems and Signal Processing, vol.17, issue.3, pp.3-635, 2003.
DOI : 10.1006/mssp.2002.1487

N. Daher and G. A. Maugin, Virtual power and thermodynamics for electromagnetic continua with interfaces, Journal of Mathematical Physics, vol.27, issue.12, pp.12-3022, 1986.
DOI : 10.1063/1.527231

N. Daher and G. A. Maugin, The method of virtual power in continuum mechanics application to media presenting singular surfaces and interfaces, Acta Mechanica, vol.16, issue.3-4, pp.3-4, 1986.
DOI : 10.1007/BF01176354

F. Isola and W. Kosinski, Deduction of thermodynamic balance laws for bidimensional nonmaterial directed continua modelling interphase layers, Archives of Mechanics, pp.45-333, 1993.
URL : https://hal.archives-ouvertes.fr/hal-00502045

F. Isola and P. Seppecher, The relationship between edge contact forces, double force and interstitial working allowed by the principle of virtual power, C. R. Acad. Sci. -Serie IIb, vol.321, 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, P. Seppecher, and A. Madeo, Beyond Euler-Cauchy Continua: The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. CISM Lecture Notes C-1006, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00601624

F. Dell-'isola, P. Seppecher, and A. Madeo, Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media, CISM Lecture Notes C-1006, 2011.

M. Degiovanni, A. Marzocchi, and A. Musesti, 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
URL : https://publicatt.unicatt.it/retrieve/handle/10807/19588/26336/degiovanni_marzocchi_musesti2006.pdf

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

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

J. E. Dunn, Interstitial working and a non classical continuum thermodynamics New Perspectives in Thermodynamics, pp.187-222, 1986.

G. E. Exadaktylos and I. Vardoulakis, Microstructure in linear elasticity and scale effects: a reconsideration of basic rock mechanics and rock fracture mechanics, Tectonophysics, vol.335, issue.1-2, pp.1-2, 2001.
DOI : 10.1016/S0040-1951(01)00047-6

A. C. Fannjiang, Y. S. Chan, and G. H. Paulino, Strain Gradient Elasticity for Antiplane Shear Cracks: A Hypersingular Integrodifferential Equation Approach, SIAM Journal on Applied Mathematics, vol.62, issue.3, pp.3-1066, 2001.
DOI : 10.1137/S0036139900380487

S. Forest, Mechanics of generalized continua: construction by homogenizaton, Le Journal de Physique IV, vol.08, issue.PR4, pp.4-39, 1998.
DOI : 10.1051/jp4:1998405

S. Forest, Homogenization methods and mechanics of generalized continua - part 2, Theoretical and Applied Mechanics, issue.28-29, pp.28-29, 2002.
DOI : 10.2298/TAM0229113F

S. Forest, Milieux continus généralisés et matériaux hétérogènes, pp.2-911762, 2006.

S. Forest and M. Amestoy, Mécanique des milieux continus, 2004.

S. Forest, Milieux continus généralisés et matériaux hétérogènes, 2004.

A. Forestier and S. Gavrilyuk, Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law, Mathematical Methods in the Applied Sciences, vol.14, issue.3, pp.1-21482158, 2011.
DOI : 10.1002/mma.1512
URL : https://hal.archives-ouvertes.fr/hal-01459988

R. Fosdick and E. G. Virga, A variational proof of the stress theorem of Cauchy, Archive for Rational Mechanics and Analysis, vol.105, issue.2, pp.95-103, 1989.
DOI : 10.1007/BF00250832

R. Fosdick, Observations concerning virtual power, Mathematics and Mechanics of Solids, vol.16, issue.6, pp.573-585, 2011.
DOI : 10.1177/1081286510387708

R. Fosdick, On the ???principle of virtual power??? for arbitrary parts of a body, Continuum Mechanics and Thermodynamics, vol.184, issue.6, pp.483-489, 2011.
DOI : 10.1007/s00161-011-0191-z

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, pp.8-1319, 1998.
DOI : 10.1016/S0022-5096(98)00034-9

S. Gavrilyuk and H. Gouin, A new form of governing equations of fluids arising from Hamilton's principle, International Journal of Engineering Science, vol.37, issue.12, pp.1495-1520, 1999.
DOI : 10.1016/S0020-7225(98)00131-1

S. Gavrilyuk and H. Gouin, GEOMETRIC EVOLUTION OF THE REYNOLDS STRESS TENSOR IN THREE-DIMENSIONAL TURBULENCE, Waves and Stability in Continuous Media, pp.182-190, 2010.
DOI : 10.1142/9789814317429_0027

E. Fried and M. E. Gurtin, Tractions, Balances, and Boundary Conditions for Nonsimple Materials with Application to Liquid Flow at Small-Length Scales, Archive for Rational Mechanics and Analysis, vol.34, issue.3, pp.513-554, 2006.
DOI : 10.1007/s00205-006-0015-7

E. Fried and M. E. Gurtin, A continuum mechanical theory for turbulence: a generalized Navier -Stokes-equation with boundary conditions. Theoretical and Computational Fluid Dynamics, pp.182-513, 2008.

P. Germain, Cours de M` ecanique des Milieux Continus, 1973.

P. Germain, La méthode des puissances virtuelles en mécanique des milieux continus.Premì ere 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.25-556, 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, pp.274-1051, 1972.

A. E. Green and R. S. Rivlin, Multipolar continuum mechanics, Arch. Rational Mech. Anal, vol.17, pp.113-147, 1964.

A. E. Green and R. S. Rivlin, Simple force and stress multipoles, Arch. Rational Mech. Anal, vol.16, pp.325-353, 1964.

A. E. Green and R. S. 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

A. E. Green and R. S. Rivlin, Multipolar Continuum Mechanics: Functional Theory I, Proc. Roy. Soc. Ser. A, pp.284-303, 1965.
DOI : 10.1098/rspa.1965.0065

M. E. Gurtin, A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations, Journal of the Mechanics and Physics of Solids, vol.50, issue.1, pp.809-819, 2002.
DOI : 10.1016/S0022-5096(01)00104-1

M. E. Gurtin and L. Anand, Thermodynamics applied to gradient theories involving the accumulated plastic strain: The theories of Aifantis and Fleck and Hutchinson and their generalization, Journal of the Mechanics and Physics of Solids, vol.57, issue.3, pp.405-421, 2009.
DOI : 10.1016/j.jmps.2008.12.002

M. E. Gurtin, E. Fried, and L. Anand, The Mechanics and Thermodynamics of Continua, 2009.
DOI : 10.1017/CBO9780511762956

E. Hamed, Y. Lee, and I. Jasiuk, Multiscale modeling of elastic properties of cortical bone, Acta Mechanica, vol.37, issue.193902, pp.131-154, 2010.
DOI : 10.1007/s00707-010-0326-5

J. H. Hubbard and B. B. Hubbard, Vector Calculus, Linear algebra and differential forms, a unified approach, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01297648

A. Iafrati, A. Carcaterra, E. Ciappi, and E. F. Campana, Hydroelastic Analysis of a Simple Oscillator Impacting the Free Surface, Journal of Ship Research, vol.44, pp.3-4, 2000.

I. Jasiuk, Modeling of trabecular bone as a hierarchical material, Computational Fluid and Solid Mechanics, vol.1, issue.2, pp.1727-1728, 2003.
DOI : 10.1016/B978-008044046-0.50421-8

I. Jasiuk and M. Ostoja-starzewski, ON THE REDUCTION OF CONSTANTS IN PLANAR COSSERAT ELASTICITY WITH EIGENSTRAINS AND EIGENCURVATURES, Journal of Thermal Stresses, vol.26, issue.11-12, pp.1221-1228, 2003.
DOI : 10.1080/714050882

H. Joumaa and M. Ostoja-starzewski, Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity, online,Proceedings of, 2011.

N. Kirchner and P. Steinmann, On the material setting of gradient hyperelasticity (English summary), Math. Mech. Solids, vol.12, pp.5-559, 2006.

W. Kosinski, Field Singularities and Wave Analysis in Continuum Mechanics Ellis Horwood Series: Mathematics and Its Applications, 1986.

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.12-2485, 2007.
DOI : 10.1002/nme.1854

T. Lekszycki and F. Dellisola, A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.14, issue.12
DOI : 10.1002/zamm.201100082
URL : https://hal.archives-ouvertes.fr/hal-00634733

J. Li and M. Ostoja-starzewski, Micropolar continuum mechanics of fractal media, International Journal of Engineering Science, vol.49, issue.12, pp.1302-1310, 2011.
DOI : 10.1016/j.ijengsci.2011.03.010

A. Madeo, T. Lekszycki, and F. Dellisola, A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery, Comptes Rendus M??canique, vol.339, issue.10, pp.10-625, 2011.
DOI : 10.1016/j.crme.2011.07.004
URL : https://hal.archives-ouvertes.fr/hal-00609793

J. Marigo and C. Pideri, The Effective Behavior of Elastic Bodies Containing Microcracks or Microholes Localized on a Surface, International Journal of Damage Mechanics, vol.4, issue.8, pp.1151-1177, 2011.
DOI : 10.1016/0013-7944(85)90093-1
URL : https://hal.archives-ouvertes.fr/hal-00549546

M. Lazar and G. A. Maugin, A note on line forces in gradient elasticity, Mechanics Research Communications, vol.33, issue.5, pp.674-680, 2006.
DOI : 10.1016/j.mechrescom.2005.08.004

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

G. A. Maugin, The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool In memory of Paul Germain, pp.161-172, 1920.

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

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

R. D. Mindlin, Complex representation of displacements and stresses in plane strain with couplestresses . 1965 Appl. Theory of Functions in Continuum Mechanics, Proc. Internat. Sympos ., Tbilisi ) Mechanics of Solids (Russian) pp. 256?259 Izdat. Nauka, 1963.

R. D. Mindlin and H. F. 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

R. D. Mindlin, Influence of couple-stresses on stress concentrations, Experimental Mechanics, vol.3, issue.1, pp.1-1, 1962.
DOI : 10.1007/BF02327219

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

R. D. Mindlin, Stress functions for a Cosserat continuum, International Journal of Solids and Structures, vol.1, issue.3, pp.265-271, 1965.
DOI : 10.1016/0020-7683(65)90033-8

R. D. Mindlin, On the equations of elastic materials with micro-structure, International Journal of Solids and Structures, vol.1, issue.1, pp.73-78, 1965.
DOI : 10.1016/0020-7683(65)90016-8

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

W. Noll, The foundations of classical mechanics in the light of recent advances in continuum mechanics, Proceeding of the Berkeley Symposium on the Axiomatic Method, pp.226-281, 1959.

W. Noll, Lectures on the foundations of continuum mechanics and thermodynamics, Arch. Rational Mech. Anal, pp.52-62, 1973.

W. Noll, The geometry of contact, separation, and reformation of continuous bodies, Archive for Rational Mechanics and Analysis, vol.102, issue.3, pp.3-197, 1993.
DOI : 10.1007/BF00380254

M. Ostoja-starzewski, S. Boccara, and I. Jasiuk, Couple-stress moduli and characteristic length of composite materials, Mechanics Research Communications, vol.26, pp.4-387, 1999.

M. Ostoja-starzewski and I. Jasiuk, Stress Invariance in Planar Cosserat Elasticity, Proceedings of the Royal Society, pp.453-470, 1995.
DOI : 10.1098/rspa.1995.0136

M. Ostoja-starzewski, Macrohomogeneity condition in dynamics of micropolar media, Archive of Applied Mechanics, vol.58, issue.7, pp.7-899, 2011.
DOI : 10.1007/s00419-010-0456-1

M. Ostoja-starzewski, Microstructural Randomness and Scaling in Mechanics of Materials, Chapman & Hall, 2009.

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.5-241, 1997.
DOI : 10.1007/s001610050069
URL : https://hal.archives-ouvertes.fr/hal-00527291

P. Podio-guidugli, A virtual power format for thermomechanics, Continuum Mechanics and Thermodynamics, vol.458, issue.2, pp.479-487, 2009.
DOI : 10.1007/s00161-009-0093-5

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, Continuum Mechanics and Thermodynamics, vol.17, issue.29, pp.163-176, 2010.
DOI : 10.1007/s00161-010-0135-z

C. 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

J. Salençon, Mécanique des milieux continus Handbook of Continuum Mechanics) Mécanique des milieux continus, Ellipses, 1988.

F. Schuricht, A New Mathematical Foundation for Contact Interactions in Continuum Physics, Archive for Rational Mechanics and Analysis, vol.84, issue.3, pp.495-551, 2007.
DOI : 10.1007/s00205-006-0032-6

P. Seppecher, Etude des conditions aux limites en théorie du second gradient: cas de la capillarité, C. R. Acad. Sci. Paris, t. Série II, vol.309, p.497502, 1989.

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

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

M. Spivak, A comprehensive introduction to differential geometry, Vol. I and II, 1979.

P. Steinmann, On boundary potential energies in deformational and configurational mechanics, Journal of the Mechanics and Physics of Solids, vol.56, issue.3, pp.772-800, 2008.
DOI : 10.1016/j.jmps.2007.07.001

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. Sunyk and P. Steinmann, On higher gradients in continuum-atomistic modelling, International Journal of Solids and Structures, vol.40, issue.24, pp.24-6877, 2003.
DOI : 10.1016/j.ijsolstr.2003.07.001

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

R. A. Toupin, Theories of elasticity with couple-stress, Archive for Rational Mechanics and Analysis, vol.17, issue.2, pp.85-112, 1964.
DOI : 10.1007/BF00253050
URL : https://hal.archives-ouvertes.fr/hal-00853382

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, pp.3-259, 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.11-1891, 1996.
DOI : 10.1016/0022-5096(96)00047-6

C. Truesdell and R. A. Toupin, The Classical Field Theories, Handbuch der Physik III/1, 1960.

N. Triantafyllidis and E. C. , Aifantis, A gradient approach to localization of deformation. I. Hyperelastic materials, J. Elasticity, vol.16, pp.3-225, 1986.

Y. Yang and A. Misra, Higher-order stress-strain theory for damage modeling implemented in an element-free Galerkin formulation, Computer Modeling in Engineering and Sciences, vol.64, pp.1-1, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00556175

Y. Yang, W. Y. Ching, and A. Misra, Higher-Order Continuum Theory Applied to Fracture Simulation of Nanoscale Intergranular Glassy Film, Journal of Nanomechanics and Micromechanics, vol.1, issue.2, pp.60-71, 2011.
DOI : 10.1061/(ASCE)NM.2153-5477.0000030
URL : https://hal.archives-ouvertes.fr/hal-00556184

G. Vailati, Il principio dei lavori virtuali da Aristotele a Erone d'Alessandria. Scritti (Bologna, Forni, pp.113-128, 1897.

C. Y. Wang, L. Feng, and I. Jasiuk, Scale and Boundary Conditions Effects on the Apparent Elastic Moduli of Trabecular Bone Modeled as a Periodic Cellular Solid, Journal of Biomechanical Engineering, vol.131, issue.12, 2009.
DOI : 10.1115/1.4000192