S. Alessandroni, U. Andreaus, F. Dell-'isola, and M. Porfiri, A passive electric controller for multimodal vibrations of thin plates, Computers & Structures, vol.83, issue.15-16, pp.1236-1250, 2005.
DOI : 10.1016/j.compstruc.2004.08.028
URL : https://hal.archives-ouvertes.fr/hal-00498461

J. J. Alibert, P. Seppecher, and F. Dell-'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

H. Altenbach and V. A. Eremeyev, Analysis of the viscoelastic behavior of plates made of functionally graded materials, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, pp.332-341, 2008.
DOI : 10.1002/zamm.200800001
URL : https://hal.archives-ouvertes.fr/hal-00824947

H. Altenbach, V. A. Eremeyev, and N. F. Morozov, Linear theory of shells taking into account surface stresses, Doklady Physics, vol.54, issue.12, pp.531-535, 2009.
DOI : 10.1134/S1028335809120039
URL : https://hal.archives-ouvertes.fr/hal-00824864

H. Altenbach and V. A. Eremeyev, Eigen-vibrations of plates made of functionally graded material, Computers, Materials and Continua, vol.9, issue.2, pp.153-177, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00823996

H. Altenbach and V. A. Eremeyev, On the bending of viscoelastic plates made of polymer foams, Acta Mechanica, vol.12, issue.41, pp.3-4, 2009.
DOI : 10.1007/s00707-008-0053-3
URL : https://hal.archives-ouvertes.fr/hal-00821487

H. Altenbach and V. A. Eremeyev, On the linear theory of micropolar plates, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, pp.242-256, 2009.
DOI : 10.1002/zamm.200800207
URL : https://hal.archives-ouvertes.fr/hal-00824928

H. Altenbach and V. A. Eremeyev, On the effective stiffness of plates made of hyperelastic materials with initial stresses, International Journal of Non-Linear Mechanics, vol.45, issue.10, pp.45-976, 2010.
DOI : 10.1016/j.ijnonlinmec.2010.04.007
URL : https://hal.archives-ouvertes.fr/hal-00698849

H. Altenbach, V. A. Eremeyev, L. P. Lebedev, and L. A. Rendón, Acceleration waves and ellipticity in thermoelastic micropolar media, Archive of Applied Mechanics, vol.12, issue.3???4, pp.217-227, 2010.
DOI : 10.1007/s00419-009-0314-1
URL : https://hal.archives-ouvertes.fr/hal-00821472

H. Altenbach, V. A. Eremeyev, and N. F. Morozov, On equations of the linear theory of shells with surface stresses taken into account, Mechanics of Solids, vol.45, issue.3, pp.331-342, 2010.
DOI : 10.3103/S0025654410030040
URL : https://hal.archives-ouvertes.fr/hal-00824841

H. Altenbach, V. A. Eremeyev, and L. P. Lebedev, On the existence of solution in the linear elasticity with surface stresses, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, pp.90-231, 2010.
DOI : 10.1002/zamm.200900311
URL : https://hal.archives-ouvertes.fr/hal-00824093

H. Altenbach, V. A. Eremeyev, and L. P. Lebedev, On the spectrum and stiffness of an elastic body with surface stresses, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, pp.91-699, 2011.
DOI : 10.1002/zamm.201000214
URL : https://hal.archives-ouvertes.fr/hal-00824109

H. Altenbach and V. A. Eremeyev, On the shell theory on the nanoscale with surface stresses, International Journal of Engineering Science, vol.49, issue.12, pp.1294-1301, 2011.
DOI : 10.1016/j.ijengsci.2011.03.011
URL : https://hal.archives-ouvertes.fr/hal-00824104

H. Altenbach, V. A. Eremeyev, and N. F. Morozov, Surface viscoelasticity and effective properties of thin-walled structures at the nanoscale, International Journal of Engineering Science, vol.59, pp.83-89, 2012.
DOI : 10.1016/j.ijengsci.2012.03.004
URL : https://hal.archives-ouvertes.fr/hal-00824872

U. Andreaus, I. Giorgio, and T. Lekszycki, A 2-D continuum model of a mixture of bone tissue and bio-resorbable material for simulating mass density redistribution under load slowly variable in time, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, 2013.
DOI : 10.1002/zamm.201200182
URL : https://hal.archives-ouvertes.fr/hal-00842604

U. Andreaus, F. Dell-'isola, and M. Porfiri, Piezoelectric Passive Distributed Controllers for Beam Flexural Vibrations, Journal of Vibration and Control, vol.10, issue.5, pp.625-659, 2004.
DOI : 10.1177/1077546304038224
URL : https://hal.archives-ouvertes.fr/hal-00498237

U. Andreaus and M. Colloca, Prediction of micromotion initiation of an implanted femur under physiological loads and constraints using the finite element method, Proceedings of the Institution of Mechanical Engineers Part H, pp.589-605, 2009.
DOI : 10.1243/09544119JEIM559

U. Andreaus and G. C. Ruta, A review of the problem of the shear centre(s). Continuum Mechanics and Thermodynamics, pp.369-380, 1998.

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.44-595, 2009.
DOI : 10.1243/03093247JSA527

U. Andreaus, M. Colloca, D. Iacoviello, and M. Pignataro, Optimal-tuning PID control of adaptive materials for structural efficiency. Structural and Multidisciplinary Optimization, pp.43-59, 2011.

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.2603-2616, 2010.
DOI : 10.1016/j.cnsns.2009.10.015
URL : https://hal.archives-ouvertes.fr/hal-01403832

N. Auffray, R. Bouchet, and Y. Brechet, Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior, International Journal of Solids and Structures, vol.46, issue.2, pp.440-454, 2009.
DOI : 10.1016/j.ijsolstr.2008.09.009
URL : https://hal.archives-ouvertes.fr/hal-00445238

N. Auffray, R. Bouchet, and Y. Brechet, Strain gradient elastic homogenization of bidimensional cellular media, International Journal of Solids and Structures, vol.47, issue.13, pp.47-1698, 2010.
DOI : 10.1016/j.ijsolstr.2010.03.011
URL : https://hal.archives-ouvertes.fr/hal-00674877

N. Auffray, F. Dell-'isola, V. A. Eremeyev, A. Madeo, and G. Rosi, Analytical continuum mechanicsàmechanicsà la Hamilton-Piola: least action principle for second gradient continua and capillary fluids, Mathematics and Mechanics of Solids, pp.10-1177, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00836085

H. A. Barnes, Thixotropy???a review, Journal of Non-Newtonian Fluid Mechanics, vol.70, issue.1-2, pp.1-33, 1997.
DOI : 10.1016/S0377-0257(97)00004-9

A. Bedford, Hamilton's principle in continuum mechanics. Research notes in mathematics 139, 1985.

A. O. Belyakov, A. P. Seyranian, and A. Luongo, Dynamics of the pendulum with periodically varying length, Physica D: Nonlinear Phenomena, vol.238, issue.16, pp.1589-1597, 2009.
DOI : 10.1016/j.physd.2009.04.015
URL : https://hal.archives-ouvertes.fr/hal-00788480

C. Bellini, D. Martino, E. S. Federico, and S. , Mechanical Behaviour of the Human Atria, Annals of Biomedical Engineering, vol.158, issue.3, pp.1478-1490, 2013.
DOI : 10.1007/s10439-012-0699-9

A. Berezovski and G. A. Maugin, Stress-induced phase-transition front propagation in thermoelastic solids, European Journal of Mechanics - A/Solids, vol.24, issue.1, pp.1-21, 2005.
DOI : 10.1016/j.euromechsol.2004.09.004

A. Berezovski and G. A. Maugin, On the velocity of a moving phase boundary in solids, Acta Mechanica, vol.24, issue.3-4, pp.187-196, 2005.
DOI : 10.1007/s00707-005-0251-1

A. Berezovski, J. Engelbrecht, and T. Peets, Multiscale modeling of microstructured solids, Mechanics Research Communications, vol.37, issue.6, pp.531-534, 2010.
DOI : 10.1016/j.mechrescom.2010.07.020

A. Berezovski, J. Engelbrecht, and M. Berezovski, Waves in microstructured solids: a unified viewpoint of modeling, Acta Mechanica, vol.7, issue.28, pp.349-363, 2011.
DOI : 10.1007/s00707-011-0468-0

A. Berezovski, J. Engelbrecht, and G. A. Maugin, Thermoelasticity with Dual Internal Variables, Journal of Thermal Stresses, vol.46, issue.5-6, pp.5-6, 2011.
DOI : 10.1016/0167-2789(95)00173-5

M. B??rsanb??rsan, H. Altenbach, T. Sadowski, V. A. Eremeyev, and D. Pietras, Deformation analysis of functionally graded beams by the direct approach, Composites Part B: Engineering, issue.3, pp.43-1315, 2012.

M. B??rsanb??rsan and P. Neff, On the characterization of drilling rotation in the 6-parameter resultant shell theory, Shell- Structures, 2013.

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.1053-1057, 1967.
DOI : 10.1016/0020-7683(67)90029-7

P. M. Buechner and R. S. Lakes, Size effects in the elasticity and viscoelasticity of bone, Biomechanics and Modeling in Mechanobiology, vol.1, issue.4, pp.295-301, 2003.
DOI : 10.1007/s10237-002-0026-8

M. Camar-eddine and P. Seppecher, CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE, Mathematical Models and Methods in Applied Sciences, vol.12, issue.08, pp.1153-1176, 2002.
DOI : 10.1142/S0218202502002069
URL : https://hal.archives-ouvertes.fr/tel-00006576

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

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, 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.579-605, 2000.
DOI : 10.1006/jsvi.1999.2517

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, 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.2141-2149, 2006.
DOI : 10.1121/1.2179747

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.1971-1982, 2007.
DOI : 10.1121/1.2697030

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

L. Contrafatto and M. Cuomo, A new thermodynamically consistent continuum model for hardening plasticity coupled with damage, International Journal of Solids and Structures, vol.39, issue.25, pp.6241-6271, 2002.
DOI : 10.1016/S0020-7683(02)00470-5
URL : https://hal.archives-ouvertes.fr/hal-00878757

D. Ciancio, I. Carol, and M. Cuomo, Crack opening conditions at ???corner nodes??? in FE analysis with cracking along mesh lines, Engineering Fracture Mechanics, vol.74, issue.13, pp.74-1963, 2007.
DOI : 10.1016/j.engfracmech.2006.10.005
URL : https://hal.archives-ouvertes.fr/hal-00878038

D. Ciancio, I. Carol, and M. Cuomo, On inter-element forces in the FEM-displacement formulation, and implications for stress recovery, International Journal for Numerical Methods in Engineering, vol.40, issue.3, pp.502-528, 2006.
DOI : 10.1002/nme.1564
URL : https://hal.archives-ouvertes.fr/hal-00878256

L. Contrafatto and M. Cuomo, A framework of elastic???plastic damaging model for concrete under multiaxial stress states, International Journal of Plasticity, vol.22, issue.12, pp.2272-2300, 2006.
DOI : 10.1016/j.ijplas.2006.03.011
URL : https://hal.archives-ouvertes.fr/hal-00878684

L. Contrafatto and M. Cuomo, A globally convergent numerical algorithm for damaging elasto-plasticity based on the Multiplier method, International Journal for Numerical Methods in Engineering, vol.28, issue.8, pp.1089-1125, 2005.
DOI : 10.1002/nme.1235
URL : https://hal.archives-ouvertes.fr/hal-00878215

E. Cosserat and F. Cosserat, Théorie de Corps déformables, Librairie Scientifique A, Hermann et fils, 1909.

S. C. Cowin, The mechanical and stress adaptive properties of bone, Annals of Biomedical Engineering, vol.14, issue.3-4, pp.263-295, 1983.
DOI : 10.1007/BF02363288

S. C. Cowin, The estimated elastic constants for a single bone osteonal lamella, Biomechanics and Modeling in Mechanobiology, vol.7, pp.1-11, 2008.

J. Christensen and F. De-abajo, Anisotropic Metamaterials for Full Control of Acoustic Waves, Physical Review Letters, vol.108, issue.12, 2012.
DOI : 10.1103/PhysRevLett.108.124301
URL : https://hal.archives-ouvertes.fr/hal-00810624

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.635-663, 2003.
DOI : 10.1006/mssp.2002.1487

M. Cuomo and G. Ventura, Complementary energy approach to contact problems based on consistent augmented Lagrangian formulation, Mathematical and Computer Modelling, vol.28, issue.4-8, pp.185-204, 1998.
DOI : 10.1016/S0895-7177(98)00117-4
URL : https://hal.archives-ouvertes.fr/hal-00913282

M. Cuomo and L. Contrafatto, Stress rate formulation for elastoplastic models with internal variables based on augmented Lagrangian regularisation, International Journal of Solids and Structures, vol.37, issue.29, pp.3935-3964, 2000.
DOI : 10.1016/S0020-7683(99)00163-8
URL : https://hal.archives-ouvertes.fr/hal-00913269

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.217-240, 1986.
DOI : 10.1007/BF01176354

F. Dell-'isola and C. Wo´zniakwo´zniak, On phase transition layers in certain microdamaged two-phase solids, International Journal of Fracture, vol.83, issue.2, pp.175-189, 1997.
DOI : 10.1023/A:1007331628395
URL : https://hal.archives-ouvertes.fr/hal-00496978

F. Dell-'isola and C. Wo´zniakwo´zniak, On continuum modelling the interphase layers in certain two-phase elastic solids, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, pp.519-526, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00498827

F. Dell-'isola and A. Romano, On a general balance law for continua with an interface, Ricerche di Matematica, vol.35, pp.325-337, 1986.
URL : https://hal.archives-ouvertes.fr/hal-00502393

F. Dell-'isola and A. Romano, On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface, International Journal of Engineering Science, vol.25, issue.11-12, pp.1459-1468, 1987.
DOI : 10.1016/0020-7225(87)90023-1
URL : https://hal.archives-ouvertes.fr/hal-00502483

F. Dell-'isola and A. Romano, A phenomenological approach to phase transition in classical field theory, International Journal of Engineering Science, vol.25, issue.11-12, pp.1469-1475, 1987.
DOI : 10.1016/0020-7225(87)90024-3
URL : https://hal.archives-ouvertes.fr/hal-00502977

F. Dell-'isola and W. Kosinski, Deduction of thermodynamic balance laws for bidimensional nonmaterial directed continua modelling interphase layers, Archives of Mechanics, vol.45, pp.333-359, 1993.
URL : https://hal.archives-ouvertes.fr/hal-00502045

F. Dell-'isola, H. Gouin, and P. Seppecher, Radius and surface tension of microscopic bubbles by second gradient theory, Comptes rendus de l'Académie des Sciences Série IIb, pp.211-216, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00308860

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'Académie des Sciences Série IIb, pp.303-308, 1995.

F. Dell-'isola, L. Rosa, and C. Wo´zniakwo´zniak, Dynamics of solids with micro periodic nonconnected fluid inclusions, Archive of Applied Mechanics, vol.67, issue.4, pp.215-228, 1997.

F. Dell-'isola and K. Hutter, What are the dominant thermomechanical processes in the basal sediment layer of large ice sheets?, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.454, issue.1972, pp.1169-1195, 1998.
DOI : 10.1098/rspa.1998.0201
URL : https://hal.archives-ouvertes.fr/hal-00498007

F. Dell-'isola, L. Rosa, and C. Wo´zniakwo´zniak, A micro-structured continuum modelling compacting fluid-saturated grounds: The effects of pore-size scale parameter, Acta Mechanica, vol.127, pp.1-4, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00497282

F. Dell-'isola and S. Vidoli, Damping of bending waves in truss beams by electrical transmission lines with PZT actuators, Archive of Applied Mechanics (Ingenieur Archiv), vol.68, issue.9, pp.626-636, 1998.
DOI : 10.1007/s004190050192
URL : https://hal.archives-ouvertes.fr/hal-00495549

F. Dell-'isola and S. Vidoli, Continuum modelling of piezoelectromechanical truss beams: an application to vibration damping, Archive of Applied Mechanics (Ingenieur Archiv), vol.68, issue.1, pp.1-19, 1998.
DOI : 10.1007/s004190050142
URL : https://hal.archives-ouvertes.fr/hal-00495542

F. Dell-'isola, M. Guarascio, and K. A. 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

F. Dell-'isola, A. Madeo, and L. Placidi, Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D Continua, ZAMM -Zeitschrift für Angewandte Mathematik und Mechanik, pp.52-71, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00602196

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, A. Madeo, and P. Seppecher, Boundary conditions at fluidpermeable interfaces in porous media: A variational approach, International Journal of Solids and Structures, issue.17, pp.46-3150, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00504035

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

F. Dell-'isola and L. Placidi, Variational principles are a powerful tool also for formulating field theories. Variational Models and Methods in Solid and Fluid Mechanics CISM Courses and Lectures, pp.1-15, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00607746

D. Vescovo, D. Fregolent, and A. , Assessment of fresco detachments through a non-invasive acoustic method, Journal of Sound and Vibration, vol.284, issue.3-5, pp.1015-1031, 2005.
DOI : 10.1016/j.jsv.2004.07.011

D. Vescovo, D. Fregolent, and A. , Theoretical and experimental dynamic analysis aimed at the improvement of an acoustic method for fresco detachment diagnosis, Mechanical Systems and Signal Processing, pp.2312-2319, 2009.
DOI : 10.1016/j.ymssp.2009.02.009

D. Egidio, A. Luongo, A. Paolone, and A. , Linear and non-linear interactions between static and dynamic bifurcations of damped planar beams, International Journal of Non-Linear Mechanics, vol.42, issue.1, pp.88-98, 2007.
DOI : 10.1016/j.ijnonlinmec.2006.12.010
URL : https://hal.archives-ouvertes.fr/hal-00790054

N. Engheta and R. W. Ziolkowski, Metamaterials: Physics and Engineering Explorations, 2006.
DOI : 10.1002/0471784192

M. Epstein and R. Segev, Differentiable manifolds and the principle of virtual work in continuum mechanics, Journal of Mathematical Physics, vol.21, issue.5, pp.1243-1245, 1980.
DOI : 10.1063/1.524516

M. Epstein, The geometrical language of continuum mechanics, Cam- bridge, 2010.

V. A. Eremeyev, A. B. Freidin, and L. L. Sharipova, Nonuniqueness and stability in problems of equilibrium of elastic two-phase bodies, Doklady Physics, vol.48, issue.7, pp.48-359, 2003.
DOI : 10.1134/1.1598247

V. A. Eremeyev and W. Pietraszkiewicz, The Nonlinear Theory of Elastic Shells with Phase Transitions, Journal of Elasticity, vol.74, issue.1, pp.67-86, 2004.
DOI : 10.1023/B:ELAS.0000026106.09385.8c
URL : https://hal.archives-ouvertes.fr/hal-00831721

V. A. 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

V. A. Eremeyev and W. Pietraszkiewicz, Local Symmetry Group in the General Theory of Elastic Shells, Journal of Elasticity, vol.386, issue.2, pp.125-152, 2006.
DOI : 10.1007/s10659-006-9075-z
URL : https://hal.archives-ouvertes.fr/hal-00835610

V. A. Eremeyev and L. M. Zubov, On constitutive inequalities in nonlinear theory of elastic shells, ZAMM -Zeitschrift für Angewandte Mathematik und Mechanik, pp.94-101, 2007.
DOI : 10.1002/zamm.200610304
URL : https://hal.archives-ouvertes.fr/hal-00835648

V. A. Eremeyev, H. Altenbach, and N. F. Morozov, The influence of surface tension on the effective stiffness of nanosize plates, Doklady Physics, vol.54, issue.2, pp.98-100, 2009.
DOI : 10.1134/S102833580902013X
URL : https://hal.archives-ouvertes.fr/hal-00826539

V. A. Eremeyev and L. P. Lebedev, Existence of weak solutions in elasticity, Mathematics and Mechanics of Solids, vol.18, issue.2, pp.204-217, 2013.
DOI : 10.1177/1081286512462187
URL : https://hal.archives-ouvertes.fr/hal-00831088

V. A. Eremeyev and W. Pietraszkiewicz, Thermomechanics of shells undergoing phase transition, Journal of the Mechanics and Physics of Solids, vol.59, issue.7, pp.1395-1412, 2011.
DOI : 10.1016/j.jmps.2011.04.005
URL : https://hal.archives-ouvertes.fr/hal-00835667

A. C. Eringen and E. S. Suhubi, Nonlinear theory of simple micro-elastic solids???I, International Journal of Engineering Science, vol.2, issue.2, pp.189-203, 1964.
DOI : 10.1016/0020-7225(64)90004-7

A. C. Eringen and E. S. Suhubi, )b. Nonlinear theory of simple microelastic solids: II, Int. J. Eng. Sci, vol.2, pp.389-404, 1964.

A. C. Eringen and D. G. Edelen, On nonlocal elasticity, International Journal of Engineering Science, vol.10, issue.3, pp.233-248, 1972.
DOI : 10.1016/0020-7225(72)90039-0

A. C. Eringen, Microcontinuum Field Theories I. Foundations and Solids, 1999.
DOI : 10.1007/978-1-4612-0555-5

A. C. Eringen, Microcontinuum Field Theories, 2001.
DOI : 10.1007/978-1-4612-0555-5

A. C. Eringen, Nonlocal Continuum Field Theories, Applied Mechanics Reviews, vol.56, issue.2, 2002.
DOI : 10.1115/1.1553434

V. I. Erofeyev and A. I. Potapov, Longitudinal strain waves in non-linearly-elastic media with couple stresses, International Journal of Non-Linear Mechanics, vol.28, issue.4, pp.483-488, 1993.
DOI : 10.1016/0020-7462(93)90021-C

V. I. Erofeyev, I. S. Pavlov, and N. V. Leontiev, A MATHEMATICAL MODEL FOR INVESTIGATION OF NONLINEAR WAVE PROCESSES IN A 2D GRANULAR MEDIUM CONSISTING OF SPHERICAL PARTICLES, Composites: Mechanics, Computations, Applications, An International Journal, vol.4, issue.3, pp.239-255, 2013.
DOI : 10.1615/CompMechComputApplIntJ.v4.i3.40

S. Federico, A. Grillo, and W. Herzog, A transversely isotropic composite with a statistical distribution of spheroidal inclusions: a geometrical approach to overall properties, Journal of the Mechanics and Physics of Solids, vol.52, issue.10, pp.52-2309, 2004.
DOI : 10.1016/j.jmps.2004.03.010

S. Federico, A. Grillo, L. Rosa, G. Giaquinta, G. Herzog et al., A transversely isotropic, transversely homogeneous microstructural-statistical model of articular cartilage, Journal of Biomechanics, vol.38, issue.10, 2005.
DOI : 10.1016/j.jbiomech.2004.09.020

S. Federico and W. Herzog, On the permeability of fibre-reinforced porous materials, International Journal of Solids and Structures, vol.45, issue.7-8, pp.2160-2172, 2008.
DOI : 10.1016/j.ijsolstr.2007.11.014

S. Federico and W. Herzog, Towards an analytical model of soft biological tissues, Journal of Biomechanics, vol.41, issue.16, pp.41-3309, 2008.
DOI : 10.1016/j.jbiomech.2008.05.039

S. Federico and W. Herzog, On the anisotropy and inhomogeneity of permeability in articular cartilage, Biomechanics and Modeling in Mechanobiology, vol.48, issue.3, pp.367-378, 2008.
DOI : 10.1007/s10237-007-0091-0

S. Federico and T. C. Gasser, Nonlinear elasticity of biological tissues with statistical fibre orientation, Journal of The Royal Society Interface, vol.37, issue.3, pp.955-966, 2010.
DOI : 10.1016/S0021-9290(03)00267-7

S. Federico and A. Grillo, Elasticity and permeability of porous fibre-reinforced materials under large deformations, Mechanics of Materials, vol.44, pp.58-71, 2012.
DOI : 10.1016/j.mechmat.2011.07.010

M. Ferretti, A. Madeo, F. Dell-'isola, and P. Boisse, Modelling the onset of shear boundary layers in fibrous composite reinforcements by second gradient theory, ZAMP -Zeitschrift für angewandte Mathematik und Physik, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00838662

S. Forest and R. Sievert, Nonlinear microstrain theories, International Journal of Solids and Structures, vol.43, issue.24, pp.7224-7245, 2006.
DOI : 10.1016/j.ijsolstr.2006.05.012
URL : https://hal.archives-ouvertes.fr/hal-00136739

S. Forest, Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage, Journal of Engineering Mechanics, vol.135, issue.3, pp.117-131, 2009.
DOI : 10.1061/(ASCE)0733-9399(2009)135:3(117)
URL : https://hal.archives-ouvertes.fr/hal-00368014

S. Forest, N. M. Cordero, and E. P. Busso, First vs. second gradient of strain theory for capillarity effects in an elastic fluid at small length scales, Computational Materials Science, vol.50, issue.4, pp.1299-1304, 2011.
DOI : 10.1016/j.commatsci.2010.03.048
URL : https://hal.archives-ouvertes.fr/hal-00569981

R. Gatignol and P. Seppecher, Modelisation of fluid-fluid interfaces with material properties, pp.225-247, 1986.

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

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

I. D. Ghiba, P. Neff, A. Madeo, L. Placidi, and G. Rosi, The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics, Mathematics and Mechanics of Solids, vol.127, issue.1, 2013.
DOI : 10.1007/s00161-013-0329-2
URL : https://hal.archives-ouvertes.fr/hal-01167932

I. Giorgio, A. Culla, D. Vescovo, and D. , Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network, Archive of Applied Mechanics, vol.15, issue.5, pp.859-879, 2009.
DOI : 10.1007/s00419-008-0258-x
URL : https://hal.archives-ouvertes.fr/hal-00798627

G. G. Giusteri, A. Marzocchi, and A. Musesti, Nonsimple isotropic incompressible linear fluids surrounding one-dimensional structures, Acta Mechanica, vol.22, issue.3-4, pp.3-4, 2011.
DOI : 10.1007/s00707-010-0387-5

G. G. Giusteri, The multiple nature of concentrated interactions in second-gradient dissipative liquids, ZAMP -Zeitschrift für Angewandte Mathematik und Physik, pp.371-380, 2013.
DOI : 10.1007/s00033-012-0229-5

A. E. Green and R. S. Rivlin, )a. Multipolar continuum mechanics. Archive for Rational Mechanics and Analysis, pp.113-114, 1964.
URL : https://hal.archives-ouvertes.fr/in2p3-00010761

A. E. Green and R. S. Rivlin, Simple force and stress multipoles. Archive for Rational Mechanics and Analysis, pp.325-353, 1964.
DOI : 10.1007/bf00281725

A. E. Green and R. S. Rivlin, )c. On Cauchy's equations of motion, ZAMP - Zeitschrift für Angewandte Mathematik und Physik, pp.290-292, 1964.
URL : https://hal.archives-ouvertes.fr/in2p3-00003675

A. E. Green and R. S. Rivlin, Multipolar Continuum Mechanics: Functional Theory I, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.284, issue.1398, pp.303-324, 1965.
DOI : 10.1098/rspa.1965.0065

E. M. Haseganu and D. J. Steigmann, Equilibrium analysis of finitely deformed elastic networks, Computational Mechanics, vol.335, issue.6, pp.359-373, 1996.
DOI : 10.1007/BF00363980

E. Hellinger, Die allgemeinen Ansätze der Mechanik der Kontinua, Encyklopädie der mathematischen Wissenschaften, 1913.

M. Jamal, L. Lahlou, M. Midani, H. Zarouni, A. Limam et al., A semi-analytical buckling analysis of imperfect cylindrical shells under axial compression, International Journal of Solids and Structures, vol.40, issue.5, pp.40-1311, 2003.
DOI : 10.1016/S0020-7683(02)00583-8

A. Klawonn, P. Neff, O. Rheinbach, and S. Vanis, -elasticity, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.3, pp.563-602, 2011.
DOI : 10.1051/m2an/2010067

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

E. Kroner, Mechanics of Generalized Continua, 1968.
DOI : 10.1007/978-3-662-30257-6

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields 2, 1975.

L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory 3, 1977.

L. P. Lebedev, M. J. Cloud, and V. A. Eremeyev, Tensor Analysis with Applications in Mechanics, 2010.
DOI : 10.1142/7826

T. Lekszycki and F. Dell-'isola, 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, pp.92-426, 2012.
DOI : 10.1002/zamm.201100082
URL : https://hal.archives-ouvertes.fr/hal-00634733

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

R. B. Lehoucq and S. A. Silling, Force flux and the peridynamic stress tensor, Journal of the Mechanics and Physics of Solids, vol.56, issue.4, pp.1566-1577, 2008.
DOI : 10.1016/j.jmps.2007.08.004

A. Limam, L. Lee, E. Corona, and S. Kyriakides, Inelastic wrinkling and collapse of tubes under combined bending and internal pressure, International Journal of Mechanical Sciences, vol.52, issue.5, pp.52-637, 2010.
DOI : 10.1016/j.ijmecsci.2009.06.008

A. Luongo, G. Rega, and F. Vestroni, On Nonlinear Dynamics of Planar Shear Indeformable Beams, Journal of Applied Mechanics, vol.53, issue.3, pp.619-624, 1986.
DOI : 10.1115/1.3171821
URL : https://hal.archives-ouvertes.fr/hal-00789126

A. Luongo, Mode Localization in Dynamics and Buckling of Linear Imperfect Continuous Structures, Nonlinear Dynamics, vol.25, issue.1-3, pp.133-156, 2001.
DOI : 10.1007/978-94-017-2452-4_8
URL : https://hal.archives-ouvertes.fr/hal-00798925

A. Luongo, A. Paolone, D. Egidio, and A. , Multiple Timescales Analysis for 1:2 and 1:3 Resonant Hopf Bifurcations, Nonlinear Dynamics, vol.34, issue.3/4, pp.3-4, 2003.
DOI : 10.1023/B:NODY.0000013508.50435.39
URL : https://hal.archives-ouvertes.fr/hal-00797874

A. Luongo, D. Egidio, and A. , Bifurcation Equations Through Multiple-Scales Analysis for a Continuous Model of a Planar Beam, Nonlinear Dynamics, vol.77, issue.1, pp.171-190, 2005.
DOI : 10.1007/s11071-005-2804-1
URL : https://hal.archives-ouvertes.fr/hal-00790794

A. Luongo and F. Romeo, A Transfer-Matrix-Perturbation Approach to the Dynamics of Chains of Nonlinear Sliding Beams, Journal of Vibration and Acoustics, vol.128, issue.2, pp.190-196, 2006.
DOI : 10.1115/1.2159034
URL : https://hal.archives-ouvertes.fr/hal-00790182

A. Luongo, D. Zulli, and G. Piccardo, On the effect of twist angle on nonlinear galloping of suspended cables, Computers & Structures, vol.87, issue.15-16, pp.1003-1014, 2009.
DOI : 10.1016/j.compstruc.2008.04.014
URL : https://hal.archives-ouvertes.fr/hal-00788461

A. Madeo and S. Gavrilyuk, Propagation of acoustic waves in porous media and their reflection and transmission at a pure-fluid/porous-medium permeable interface European, Journal of Mechanics-A/Solids, issue.5, pp.29-897, 2010.

A. Madeo, T. Lekszycki, and F. Dell-'isola, A continuum model for the biomechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery, Comptes Rendus -Mecanique, issue.10, pp.339-625, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00609793

A. Madeo, D. George, T. Lekszycki, M. Nierenberger, and Y. Rémond, A second gradient continuum model accounting for some effects of microstructure on reconstructed bone remodelling, Comptes Rendus Mécanique, issue.8, pp.340-575, 2012.

A. Madeo, I. Djeran-maigre, G. Rosi, and C. Silvani, The effect of fluid streams in porous media on acoustic compression wave propagation, transmission, and reflection, Continuum Mechanics and Thermodynamics, vol.35, issue.3, pp.173-196, 2013.
DOI : 10.1007/s00161-012-0236-y
URL : https://hal.archives-ouvertes.fr/hal-01293274

A. Madeo, F. Dell-'isola, and F. Darve, A continuum model for deformable, second gradient porous media partially saturated with compressible fluids, Journal of the Mechanics and Physics of Solids, vol.61, issue.11, pp.2196-2211, 2013.
DOI : 10.1016/j.jmps.2013.06.009
URL : https://hal.archives-ouvertes.fr/hal-00843626

K. Manktelow, M. J. Leamy, and M. Ruzzene, 2013)a. Topology Design and Optimization of Nonlinear Periodic Materials, Journal of the Mechanics and Physics of Solids, issue.12, pp.61-2433

K. Manktelow, M. J. Leamy, and M. Ruzzene, Comparison of asymptotic and transfer matrix approaches for evaluating intensity-dependent dispersion in nonlinear photonic and phononic crystals, Wave Motion, vol.50, issue.3, pp.494-508
DOI : 10.1016/j.wavemoti.2012.12.009

G. A. Maugin and W. Muschik, Thermodynamics with Internal Variables. Part I. General Concepts, Journal of Non-Equilibrium Thermodynamics, vol.19, issue.3, pp.217-249, 1994.
DOI : 10.1515/jnet.1994.19.3.217

G. A. Maugin and W. Muschik, Thermodynamics with internal variables. Part II, Applications. Journal of Non-Equilibrium Thermodynamics, vol.19, issue.3, pp.250-289, 1994.

G. A. Maugin, The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool In memory of Paul Germain (1920-2009). Cont. Mech. Thermodyn. Published On-Line DOI 10, pp.161-172, 1007.

G. A. Maugin and A. V. Metrikine, Mechanics of generalized Continua One hundred years after the Cosserats, 2010.

C. Maurini, F. Dell-'isola, D. Vescovo, and D. , Comparison of piezoelectronic networks acting as distributed vibration absorbers, Mechanical Systems and Signal Processing, vol.18, issue.5, pp.1243-1271, 2004.
DOI : 10.1016/S0888-3270(03)00082-7
URL : https://hal.archives-ouvertes.fr/hal-00502098

C. Maurini, J. Pouget, and F. Dell-'isola, On a model of layered piezoelectric beams including transverse stress effect, International Journal of Solids and Structures, vol.41, issue.16-17, pp.4473-4502, 2004.
DOI : 10.1016/j.ijsolstr.2004.03.002
URL : https://hal.archives-ouvertes.fr/hal-00503237

C. Maurini, J. Pouget, and F. Dell-'isola, Extension of the Euler???Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach, Computers & Structures, vol.84, issue.22-23, pp.22-23, 2006.
DOI : 10.1016/j.compstruc.2006.01.016
URL : https://hal.archives-ouvertes.fr/hal-00499426

A. T. Mcbride, A. Javili, P. Steinmann, and S. Bargmann, Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion, Journal of the Mechanics and Physics of Solids, vol.59, issue.10, pp.2116-2133, 2011.
DOI : 10.1016/j.jmps.2011.06.002

G. Michel, A. Limam, and J. F. Jullien, Buckling of cylindrical shells under static and dynamic shear loading, Engineering Structures, vol.22, issue.5, pp.535-543, 2000.
DOI : 10.1016/S0141-0296(98)00132-1

R. D. Mindlin, Micro-structure in linear elasticity Archive for Rational Mechanics and Analysis, pp.51-78, 1964.

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 and N. 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

A. Misra and C. S. Chang, Effective elastic moduli of heterogeneous granular solids, International Journal of Solids and Structures, vol.30, issue.18, pp.2547-2566, 1993.
DOI : 10.1016/0020-7683(93)90165-4

A. Misra and Y. Yang, Micromechanical model for cohesive materials based upon pseudo-granular structure, International Journal of Solids and Structures, vol.47, issue.21, pp.2970-2981, 2010.
DOI : 10.1016/j.ijsolstr.2010.07.002
URL : https://hal.archives-ouvertes.fr/hal-00556078

A. Misra and V. Singh, Micromechanical model for viscoelastic materials undergoing damage, Continuum Mechanics and Thermodynamics, vol.22, issue.2, pp.1-16, 2013.
DOI : 10.1007/s00161-012-0262-9

A. Misra and W. Y. Ching, Theoretical nonlinear response of complex single crystal under multi-axial tensile loading, Scientific Reports, vol.77, p.1488, 2013.
DOI : 10.1038/srep01488

M. G. Mullender and R. Huiskes, Proposal for the regulatory mechanism of Wolff's law, Journal of Orthopaedic Research, vol.27, issue.4, pp.503-512, 1995.
DOI : 10.1002/jor.1100130405

I. Münch, W. Wagner, and P. Neff, Transversely isotropic material: nonlinear Cosserat versus classical approach, Continuum Mechanics and Thermodynamics, vol.41, issue.2, pp.27-34, 2011.
DOI : 10.1007/s00161-010-0150-0

B. Nadler, P. Papadopoulos, and D. J. Steigmann, Multiscale constitutive modeling and numerical simulation of fabric material, International Journal of Solids and Structures, vol.43, issue.2, pp.206-221, 2006.
DOI : 10.1016/j.ijsolstr.2005.05.020

R. K. Narisetti, M. Ruzzene, and M. J. Leamy, Study of wave propagation in strongly nonlinear periodic lattices using a harmonic balance approach, Wave Motion, vol.49, issue.2, pp.394-410, 2012.
DOI : 10.1016/j.wavemoti.2011.12.005

R. K. Narisetti, M. Ruzzene, and M. J. Leamy, A Perturbation Approach for Analyzing Dispersion and Group Velocities in Two-Dimensional Nonlinear Periodic Lattices, Journal of Vibration and Acoustics, vol.133, issue.6, pp.1-12, 2011.
DOI : 10.1115/1.4004661

P. Neff, On Korn's first inequality with non-constant coefficients, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.132, issue.01, pp.221-243, 2002.
DOI : 10.1017/S0308210500001591

P. Neff and C. Wieners, Comparison of models for finite plasticity: A numerical study, Computing and Visualization in Science, vol.6, issue.1, pp.23-35, 2003.
DOI : 10.1007/s00791-003-0104-1

P. Neff, A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. Part I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus, Continuum Mechanics and Thermodynamics, vol.36, issue.6, pp.577-628, 2004.
DOI : 10.1007/s00161-004-0182-4

P. Neff, Geometrically exact Cosserat theory for bulk behaviour and thin structures. Modelling and mathematical analysis, 2004.

P. Neff and K. Che-lmi´nskilmi´nski, Infinitesimal elastic???plastic Cosserat micropolar theory. Modelling and global existence in the rate-independent case, Proc. Roy. Soc. Edinb. A, pp.1017-1039, 2005.
DOI : 10.1017/S030821050000425X

P. Neff, A finite-strain elastic???plastic Cosserat theory for polycrystals with grain rotations, International Journal of Engineering Science, vol.44, issue.8-9, pp.8-9, 2006.
DOI : 10.1016/j.ijengsci.2006.04.002

P. Neff, The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric, ZAMM -Zeitschrift für Angewandte Mathematik und Mechanik, pp.892-912, 2006.
DOI : 10.1002/zamm.200510281

P. Neff, Existence of minimizers for a finite-strain micromorphic elastic solid, Proc. Roy. Soc. Edinb. A, pp.997-1012, 2006.
DOI : 10.1017/S0308210500004844

P. Neff, A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.03, pp.363-392, 2007.
DOI : 10.1142/S0218202507001954

P. Neff and K. Che-lmi´nskilmi´nski, A geometrically exact Cosserat shell model for defective elastic crystals Justification via-convergence. Interfaces and Free Boundaries, pp.455-492, 2007.

P. Neff and S. Forest, A Geometrically Exact Micromorphic Model for Elastic Metallic Foams Accounting for Affine Microstructure. Modelling, Existence of Minimizers, Identification of Moduli and Computational Results, Journal of Elasticity, vol.103, issue.8, pp.239-276, 2007.
DOI : 10.1007/s10659-007-9106-4
URL : https://hal.archives-ouvertes.fr/hal-00165821

P. Neff and I. Münch, Curl bounds Grad on SO(3) ESAIM: Control, Optimisation and Calculus of Variations, pp.148-159, 2008.

P. Neff and J. Jeong, A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy, ZAMM -Zeitschrift für Angewandte Mathematik und Mechanik, pp.107-122, 2009.
DOI : 10.1002/zamm.200800156

P. Neff, J. Jeong, I. Münch, and H. Ramezani, Mean field modeling of isotropic random Cauchy elasticity versus microstretch elasticity, Zeitschrift f??r angewandte Mathematik und Physik, vol.60, issue.3, pp.479-497, 2009.
DOI : 10.1007/s00033-008-8090-2

P. Neff, J. Jeong, and A. Fischle, Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature, Acta Mechanica, vol.103, issue.2, pp.237-249, 2010.
DOI : 10.1007/s00707-009-0230-z

P. Neff, D. Pauly, and K. Witsch, Maxwell meets Korn: A new coercive inequality for tensor fields in RN??N with square-integrable exterior derivative, Mathematical Methods in the Applied Sciences, vol.14, issue.1, pp.65-71, 2012.
DOI : 10.1002/mma.1534

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.161-174, 2013.
DOI : 10.1007/s00161-013-0322-9
URL : https://hal.archives-ouvertes.fr/hal-01167202

P. Neff, D. Pauly, and K. Witsch, Poincar?? meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields, Journal of Differential Equations, vol.258, issue.4, 2013.
DOI : 10.1016/j.jde.2014.10.019

P. Neff and W. Pompe, Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn's second inequality, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.40, issue.4, 2013.
DOI : 10.1002/zamm.201300059

A. Paolone, M. Vasta, and A. Luongo, Flexural-torsional bifurcations of a cantilever beam under potential and circulatory forces I: Non-linear model and stability analysis, International Journal of Non-Linear Mechanics, vol.41, issue.4, pp.586-594, 2006.
DOI : 10.1016/j.ijnonlinmec.2006.02.006

M. L. Parks, R. B. Lehoucq, S. J. Plimpton, and S. A. Silling, Implementing peridynamics within a molecular dynamics code, Computer Physics Communications, vol.179, issue.11, pp.777-783, 2008.
DOI : 10.1016/j.cpc.2008.06.011

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

W. Pietraszkiewicz and V. A. Eremeyev, On vectorially parameterized natural strain measures of the non-linear Cosserat continuum, International Journal of Solids and Structures, vol.46, issue.11-12, pp.11-12, 2009.
DOI : 10.1016/j.ijsolstr.2009.01.030
URL : https://hal.archives-ouvertes.fr/hal-00831060

W. Pietraszkiewicz, V. A. Eremeyev, and V. Konopinska, Extended nonlinear relations of elastic shells undergoing phase transitions, ZAMM -Zeitschrift für Angewandte Mathematik und Mechanik, pp.150-159, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00831047

M. Pignataro and A. Luongo, Asymmetric interactive buckling of thinwalled columns with initial imperfections. Thin-Walled Structures, pp.365-382, 1987.
URL : https://hal.archives-ouvertes.fr/hal-00789165

G. Piola, . Memoria-intorno-alle-equazioni-fondamentali-del-movimento-di-corpi-qualsivogliono-considerati-secondo-la-naturale-loro-forma-e-costituzione, T. Modena, R. D. Del, R. Esposito et al., Camera, 1846 translated by F. dell'Isola, U. Andreaus and L. Placidi in " The complete works of Gabrio Piola: Volume I U. Andreaus, F.dell'Isola, Preparation (see also www.fdellisola.it)

L. Placidi, G. Rosi, I. Giorgio, and A. Madeo, Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials, Mathematics and Mechanics of Solids, vol.19, issue.5, pp.10-1177, 2013.
DOI : 10.1177/1081286512474016
URL : https://hal.archives-ouvertes.fr/hal-01167200

M. Porfiri, F. Dell-'isola, and E. Santini, Modeling and design of passive electric networks interconnecting piezoelectric transducers for distributed vibration control, International Journal of Applied Electromagnetics and Mechanics, vol.21, issue.2, pp.69-87, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00509102

A. Porubov, Amplification of nonlinear strain waves in solids, 2003.
DOI : 10.1142/5238

A. I. Potapov, I. S. Pavlov, and G. A. Maugin, Nonlinear wave interactions in 1D crystals with complex lattice, Wave Motion, vol.29, issue.4, pp.297-312, 1999.
DOI : 10.1016/S0165-2125(98)00046-8

S. Quiligotti, G. A. Maugin, and F. Dell-'isola, An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures, Acta Mechanica, vol.160, issue.1-2, pp.45-60, 2003.
DOI : 10.1007/s00707-002-0968-z
URL : https://hal.archives-ouvertes.fr/hal-00502067

S. Quiligotti, G. A. Maugin, and F. Dell-'isola, Wave motions in unbounded poroelastic solids infused with compressible fluids, ZAMP -Zeitschrift für angewandte Mathematik und Physik, pp.1110-1138, 2002.
DOI : 10.1007/PL00012616
URL : https://hal.archives-ouvertes.fr/hal-00502070

A. Rinaldi and Y. C. Lai, Statistical damage theory of 2D lattices: Energetics and physical foundations of damage parameter, International Journal of Plasticity, vol.23, issue.10-11, pp.1796-1825, 2007.
DOI : 10.1016/j.ijplas.2007.03.005

A. Rinaldi, D. Krajcinovic, and S. Mastilovic, Statistical Damage Mechanics and Extreme Value Theory, International Journal of Damage Mechanics, vol.16, issue.1, pp.57-76, 2007.
DOI : 10.1177/1056789507060779
URL : https://hal.archives-ouvertes.fr/hal-00571166

A. Rinaldi and Y. C. Lai, Statistical damage theory of 2D lattices: Energetics and physical foundations of damage parameter, International Journal of Plasticity, vol.23, issue.10-11, pp.1796-1825, 2007.
DOI : 10.1016/j.ijplas.2007.03.005

A. Rinaldi, D. Krajcinovic, P. Peralta, and Y. C. Lai, Lattice models of polycrystalline microstructures: A quantitative approach, Mechanics of Materials, vol.40, issue.1-2, pp.17-36, 2008.
DOI : 10.1016/j.mechmat.2007.02.005

A. Rinaldi, Rational Damage Model of 2D Disordered Brittle Lattices Under Uniaxial Loadings, International Journal of Damage Mechanics, vol.18, issue.3, pp.233-257, 2009.
DOI : 10.1177/1056789508097544

A. Rinaldi, Statistical model with two order parameters for ductile and soft fiber bundles in nanoscience and biomaterials, Physical Review E, vol.83, issue.4, pp.4-6, 2011.
DOI : 10.1103/PhysRevE.83.046126

A. Rinaldi, Bottom-up modeling of damage in heterogeneous quasi-brittle solids, Continuum Mechanics and Thermodynamics, vol.58, issue.19, pp.359-373, 2013.
DOI : 10.1007/s00161-012-0265-6

G. Rosi, A. Madeo, and J. L. Guyader, Switch between fast and slow Biot compression waves induced by ???second gradient microstructure??? at material discontinuity surfaces in porous media, International Journal of Solids and Structures, vol.50, issue.10, pp.50-1721, 2013.
DOI : 10.1016/j.ijsolstr.2013.01.038
URL : https://hal.archives-ouvertes.fr/hal-00926066

G. Rosi, I. Giorgio, and V. A. Eremeyev, Propagation of linear compression waves through plane interfacial layers and mass adsorption in second gradient fluids, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.71, issue.1, pp.93-914, 2013.
DOI : 10.1002/zamm.201200285
URL : https://hal.archives-ouvertes.fr/hal-01167209

G. Ricci-curbastro and T. Levi-civita, M???thodes de calcul diff???rentiel absolu et leurs applications, Mathematische Annalen, vol.54, issue.1-2, pp.125-201, 1900.
DOI : 10.1007/BF01454201

L. Russo, The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn, 2004.
DOI : 10.1007/978-3-642-18904-3

G. Sciarra, F. Dell-'isola, and K. 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-01362109

G. Sciarra, F. Dell-'isola, and O. Coussy, Second gradient poromechanics, International Journal of Solids and Structures, vol.44, issue.20, pp.44-6607, 2007.
DOI : 10.1016/j.ijsolstr.2007.03.003
URL : https://hal.archives-ouvertes.fr/hal-01362157

L. I. Sedov, Models of continuous media with internal degrees of freedom, Journal of Applied Mathematics and Mechanics, vol.32, issue.5, pp.803-819, 1972.
DOI : 10.1016/0021-8928(68)90001-4

L. I. Sedov, Variational Methods of constructing Models of Continuous Media, Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids, pp.346-358, 1968.

R. Segev, Forces and the existence of stresses in invariant continuum mechanics, Journal of Mathematical Physics, vol.27, issue.1, pp.163-170, 1986.
DOI : 10.1063/1.527406
URL : https://hal.archives-ouvertes.fr/hal-00957447

R. Segev, The geometry of Cauchy's fluxes. Archive for Rational Mechanics and Analysis, pp.183-198, 2000.

P. Seppecher, Etude d'une Modelisation des Zones Capillaires Fluides: Interfaces et Lignes de Contact, 1987.
URL : https://hal.archives-ouvertes.fr/tel-00522117

P. Seppecher, Thermodynamique des zones capillaires, Annales de Physique, vol.13, pp.13-22, 1988.

P. Seppecher, Etude des conditions aux limites en théorie du second gradient: cas de la capillarité, Comptes rendus de l, Académie des Sciences, vol.309, pp.497-502, 1989.

P. Seppecher, Equilibrium of a Cahn and Hilliard fluid on a wall: Influence of the wetting properties of the fluid upon the stability of a thin liquid film, European Journal of mechanics B/fluids, vol.12, pp.69-84, 1993.

P. Seppecher, Moving contact lines in the Cahn-Hilliard theory, International Journal of Engineering Science, vol.34, issue.9, pp.977-992, 1996.
DOI : 10.1016/0020-7225(95)00141-7
URL : https://hal.archives-ouvertes.fr/hal-00527283

P. Seppecher, Line Tension Effect upon Static Wetting. Oil and Gas Science and Technology -Rev, IFP, vol.56, pp.77-81, 2001.
DOI : 10.2516/ogst:2001009
URL : http://doi.org/10.2516/ogst:2001009

P. Seppecher, Second-gradient theory: application to Cahn-Hilliard fluids , in Continuum Thermomechanics, pp.379-388, 2002.

P. Steinmann, On boundary potential energies in deformational and configurational mechanics, Journal of the Mechanics and Physics of Solids, vol.56, issue.3, pp.772-80, 2008.
DOI : 10.1016/j.jmps.2007.07.001

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

D. J. Steigmann and R. W. Ogden, Plane deformations of elastic solids with intrinsic boundary elasticity, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.453, issue.1959, pp.853-877, 1997.
DOI : 10.1098/rspa.1997.0047

H. Steeb and S. Diebels, Modeling thin films applying an extended continuum theory based on a scalar-valued order parameter., International Journal of Solids and Structures, vol.41, issue.18-19, pp.5071-5085, 2004.
DOI : 10.1016/j.ijsolstr.2004.03.013

P. Steinmann, A. Elizondo, and R. Sunyk, Studies of validity of the Cauchy???Born rule by direct comparison of continuum and atomistic modelling, Modelling and Simulation in Materials Science and Engineering, 2007.
DOI : 10.1088/0965-0393/15/1/S21

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

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

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

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.1-36, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00556175

Y. Yang and A. Misra, Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity, International Journal of Solids and Structures, vol.49, issue.18, pp.2500-2514, 2012.
DOI : 10.1016/j.ijsolstr.2012.05.024

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

V. A. Yeremeyev, A. B. Freidin, and L. L. Sharipova, The stability of the equilibrium of two-phase elastic solids, Journal of Applied Mathematics and Mechanics, vol.71, issue.1, pp.61-84, 2007.
DOI : 10.1016/j.jappmathmech.2007.03.007
URL : https://hal.archives-ouvertes.fr/hal-00831678

S. Vidoli and F. Dell-'isola, Modal coupling in one-dimensional electromechanical structured continua, Acta Mechanica, vol.35, issue.1-2, pp.37-50, 2000.
DOI : 10.1007/BF01176806
URL : https://hal.archives-ouvertes.fr/hal-00501520

S. Vidoli and F. Dell-'isola, Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks, European Journal of Mechanics - A/Solids, vol.20, issue.3, pp.435-456, 2001.
DOI : 10.1016/S0997-7538(01)01144-5
URL : https://hal.archives-ouvertes.fr/hal-00496588

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

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.11-1186, 1999.
DOI : 10.1002/(SICI)1521-4095(199910)11:14<1186::AID-ADMA1186>3.0.CO;2-K

J. Wolff, Das Gesetz der Transformation der Knochen, (The Law of Bone Remodeling, 1892.