J. E. Adkins and R. S. Rivlin, Large Elastic Deformations of Isotropic Materials X. Reinforcement by Inextensible Cords, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.248, issue.944, pp.201-223, 1955.
DOI : 10.1098/rsta.1955.0014

U. Andreaus, B. Chiaia, and L. Placidi, Soft-impact dynamics of deformable bodies, Continuum Mechanics and Thermodynamics, vol.44, issue.1, pp.2-4, 2013.
DOI : 10.1007/s00161-012-0266-5

U. Andreaus, I. Giorgio, and T. Lekszycki, A 2-D continuum model of a mixture of bone tissue and bioresorbable material for simulating mass density redistribution under load slowly variable in time, Z. Angew. Math. Mech, issue.12, pp.94-978, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00842604

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, On the algebraic structure of isotropic generalized elasticity theories, Mathematics and Mechanics of Solids, vol.20, issue.5, pp.10-1177, 2013.
DOI : 10.1177/1081286513507941

N. Auffray, F. Dell-'isola, V. A. Eremeyev, A. Madeo, and G. Rosi, Analytical continuum mechanics a la Hamilton-Piola least action principle for second gradient continua and capillary fluids, Mathematics and Mechanics of Solids, vol.20, issue.4, pp.375-417, 2015.
DOI : 10.1177/1081286513497616
URL : https://hal.archives-ouvertes.fr/hal-00836085

J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Archive for Rational Mechanics and Analysis, vol.8, issue.4, pp.337-403, 1977.
DOI : 10.1007/BF00279992

D. Baraldi, E. Reccia, A. Cazzani, and A. Cecchi, COMPARATIVE ANALYSIS OF NUMERICAL DISCRETE AND FINITE ELEMENT MODELS: THE CASE OF IN-PLANE LOADED PERIODIC BRICKWORK, Composites: Mechanics, Computations, Applications, An International Journal, vol.4, issue.4, pp.319-344, 2013.
DOI : 10.1615/CompMechComputApplIntJ.v4.i4.40

S. Bel, P. Boisse, and F. Dumont, Analyses of the Deformation Mechanisms of Non-Crimp Fabric Composite Reinforcements during Preforming, Applied Composite Materials, vol.79, issue.3-4, pp.3-4, 2012.
DOI : 10.1007/s10443-011-9207-x
URL : https://hal.archives-ouvertes.fr/hal-00935536

A. M. Bersani, I. Giorgio, and G. Tomassetti, Buckling of an elastic hemispherical shell with an obstacle, Continuum Mechanics and Thermodynamics, vol.38, issue.2-4, pp.2-4, 2013.
DOI : 10.1007/s00161-012-0273-6

J. Cao, R. Akkerman, P. Boisse, J. Chen, H. S. Cheng et al., Characterization of mechanical behavior of woven fabrics: Experimental methods and benchmark results, Composites Part A: Applied Science and Manufacturing, vol.39, issue.6, pp.1037-1053, 2008.
DOI : 10.1016/j.compositesa.2008.02.016
URL : https://hal.archives-ouvertes.fr/hal-00437730

A. Carcaterra, Quantum Euler beam???QUEB: modeling nanobeams vibration, Continuum Mechanics and Thermodynamics, vol.10, issue.1, pp.145-156, 2015.
DOI : 10.1007/s00161-014-0341-1

A. Cazzani, M. Malagù, and E. Turco, Isogeometric analysis of plane-curved beams, Mathematics and Mechanics of Solids, vol.21, issue.5, pp.10-1177, 2014.
DOI : 10.1177/1081286514531265

A. Charmetant, P. Boisse, J. G. Orliac, and E. Vidal-sallée, Hyperelastic model for large deformation analyses of 3D interlock composite preforms, Composites Science and Technology, vol.72, issue.12, pp.1352-1360, 2012.
DOI : 10.1016/j.compscitech.2012.05.006
URL : https://hal.archives-ouvertes.fr/hal-00938544

M. Cuomo, L. Contrafatto, and L. Greco, A variational model based on isogeometric interpolation for the analysis of cracked bodies, International Journal of Engineering Science, vol.80, pp.173-188, 2014.
DOI : 10.1016/j.ijengsci.2014.02.017

M. V. Agostino, I. Giorgio, L. Greco, A. Madeo, and P. Boisse, Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements, International Journal of Solids and Structures, vol.59, pp.1-17, 2015.
DOI : 10.1016/j.ijsolstr.2014.12.014

C. Davini and P. Governatori, Nets with Hexagonal Cell Structure, Journal of Elasticity, vol.335, issue.3, pp.35-59, 2008.
DOI : 10.1007/s10659-007-9148-7

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, H. Gouin, and G. Rotoli, Nucleation of spherical shell-like interfaces by second gradient theory: numerical simulations, Eur. J. Mech. B, Fluids, vol.15, issue.4, pp.545-568, 1996.
URL : https://hal.archives-ouvertes.fr/hal-00393974

F. Dell-'isola and P. Seppecher, The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power, C. R. Acad. Sci., Sér. IIb Méc. Phys. Astron, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00494505

F. Dell-'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, How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach " à la D'Alembert, Z. Angew. Math. Phys, vol.63, issue.6, pp.1119-1141, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00662376

F. Dell-'isola and D. Steigmann, A two-dimensional gradient-elasticity theory for woven fabrics, J. Elast, vol.118, issue.1, pp.113-125, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00997790

V. A. Eremeyev, E. A. Ivanova, N. F. Morozov, and S. E. Strochkov, Natural vibrations of nanotubes, Doklady Physics, vol.52, issue.8, pp.431-435, 2007.
DOI : 10.1134/S1028335807080071
URL : https://hal.archives-ouvertes.fr/hal-00830193

V. A. Eremeyev, E. A. Ivanova, N. F. Morozov, and S. E. Strochkov, Natural vibrations in a system of nanotubes, Journal of Applied Mechanics and Technical Physics, vol.400, issue.4, pp.291-300, 2008.
DOI : 10.1007/s10808-008-0040-4
URL : https://hal.archives-ouvertes.fr/hal-00829633

J. L. Ericksen and R. S. Rivlin, Large elastic deformations of homogeneous anisotropic materials, J. Ration. Mech. Anal, vol.3, issue.3, pp.281-301, 1954.

G. C. Everstine and A. C. Pipkin, Boundary Layers in Fiber-Reinforced Materials, Journal of Applied Mechanics, vol.40, issue.2, pp.518-522, 1973.
DOI : 10.1115/1.3423015

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 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 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, Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory, Zeitschrift f??r angewandte Mathematik und Physik, vol.16, issue.3, pp.587-612, 2014.
DOI : 10.1007/s00033-013-0347-8
URL : https://hal.archives-ouvertes.fr/hal-00934569

L. Greco and M. Cuomo, An implicit multi patch B-spline interpolation for Kirchhoff???Love space rod, Computer Methods in Applied Mechanics and Engineering, vol.269, pp.173-197, 2014.
DOI : 10.1016/j.cma.2013.09.018
URL : https://hal.archives-ouvertes.fr/hal-00874299

A. Grillo, S. Federico, and G. Wittum, Growth, mass transfer, and remodeling in fiber-reinforced, multi-constituent materials, International Journal of Non-Linear Mechanics, vol.47, issue.2, pp.388-401, 2012.
DOI : 10.1016/j.ijnonlinmec.2011.09.026

N. Hamila and P. Boisse, Locking in simulation of composite reinforcement deformations. Analysis and treatment, Composites Part A: Applied Science and Manufacturing, vol.53, pp.109-117, 2013.
DOI : 10.1016/j.compositesa.2013.06.001
URL : https://hal.archives-ouvertes.fr/hal-00934483

N. Hamila and P. Boisse, Tension locking in finite-element analyses of textile composite reinforcement deformation, Comptes Rendus M??canique, vol.341, issue.6, pp.508-519, 2013.
DOI : 10.1016/j.crme.2013.03.001
URL : https://hal.archives-ouvertes.fr/hal-00934496

M. G. Hilgers and A. C. Pipkin, ELASTIC SHEETS WITH BENDING STIFFNESS, The Quarterly Journal of Mechanics and Applied Mathematics, vol.45, issue.1, pp.57-75, 1992.
DOI : 10.1093/qjmam/45.1.57

M. G. Hilgers and A. C. Pipkin, Energy-minimizing deformations of elastic sheets with bending stiffness, Journal of Elasticity, vol.50, issue.2, pp.125-139, 1993.
DOI : 10.1007/BF00041227

M. G. Hilgers and A. C. Pipkin, Bending energy of highly elastic membranes. II, Quarterly of Applied Mathematics, vol.54, issue.2, pp.307-316, 1996.
DOI : 10.1090/qam/1388018

M. Z. Hu, H. Kolsky, and A. C. Pipkin, Bending Theory for Fiber-Reinforced Beams, Journal of Composite Materials, vol.9, issue.3, pp.235-249, 1985.
DOI : 10.1177/002199838501900303

J. Launay, G. Hivet, A. V. Duong, and P. Boisse, Experimental analysis of the influence of tensions on in plane shear behaviour of woven composite reinforcements, Composites Science and Technology, vol.68, issue.2, pp.506-515, 2008.
DOI : 10.1016/j.compscitech.2007.06.021
URL : https://hal.archives-ouvertes.fr/hal-00498991

W. Lee, J. Padvoiskis, J. Cao, E. De-luycker, P. Boisse et al., Bias-extension of woven composite fabrics, International Journal of Material Forming, vol.68, issue.S1, pp.895-898, 2008.
DOI : 10.1007/s12289-008-0240-8
URL : https://hal.archives-ouvertes.fr/hal-00506148

A. Luongo, Eigensolutions of perturbed nearly defective matrices, Journal of Sound and Vibration, vol.185, issue.3, pp.377-395, 1995.
DOI : 10.1006/jsvi.1995.0387
URL : https://hal.archives-ouvertes.fr/hal-00801833

A. Luongo, A. Paolone, and G. Piccardo, Postcritical behavior of cables undergoing two simultaneous galloping modes, Meccanica, vol.33, issue.3, pp.229-242, 1998.
DOI : 10.1023/A:1004343029604
URL : https://hal.archives-ouvertes.fr/hal-00799018

A. Luongo and M. Plgnataro, On the perturbation analysis of interactive buckling in nearly symmetric structures, International Journal of Solids and Structures, vol.29, issue.6, pp.721-733, 1992.
DOI : 10.1016/0020-7683(92)90123-B
URL : https://hal.archives-ouvertes.fr/hal-00804680

A. Madeo, M. Ferretti, F. Dell-'isola, and P. Boisse, Thick fibrous composite reinforcements behave as special second-gradient materials: three-point bending of 3D interlocks, Zeitschrift f??r angewandte Mathematik und Physik, vol.6, issue.6, pp.10-1007, 2015.
DOI : 10.1007/s00033-015-0496-z
URL : https://hal.archives-ouvertes.fr/hal-01144230

R. Paroni, An existence theorem for inextensible nets with slack, Mathematics and Mechanics of Solids, vol.17, issue.5, pp.460-472, 2012.
DOI : 10.1177/1081286511423124

G. Piccardo, G. Ranzi, and A. Luongo, A complete dynamic approach to the Generalized Beam Theory cross-section analysis including extension and shear modes, Mathematics and Mechanics of Solids, vol.19, issue.8, pp.10-1177, 2013.
DOI : 10.1177/1081286513493107

G. Piccardo, G. Ranzi, and A. Luongo, A direct approach for the evaluation of the conventional modes within the gbt formulation. Thin-Walled Struct, pp.133-145, 2014.

S. Piperno, L. Lozzi, R. Rastelli, M. Passacantando, and S. Santucci, PMMA nanofibers production by electrospinning, Applied Surface Science, vol.252, issue.15, pp.5583-5586, 2006.
DOI : 10.1016/j.apsusc.2005.12.142

A. C. Pipkin, Finite deformations of ideal fiber-reinforced composites, Mechanics of Composite Materials, pp.251-308, 1974.

A. C. Pipkin, Generalized plane deformations of ideal fiber-reinforced materials, Quarterly of Applied Mathematics, vol.32, issue.3, pp.253-263, 1974.
DOI : 10.1090/qam/99681

A. C. Pipkin, Finite deformations in materials reinforced with inextensible cords. Finite Elast, pp.92-102, 1977.

A. C. Pipkin, Energy changes in ideal fiber-reinforced composites, Quarterly of Applied Mathematics, vol.35, issue.4, pp.455-463, 1978.
DOI : 10.1090/qam/489208

A. C. Pipkin, Some developments in the theory of inextensible networks, Quarterly of Applied Mathematics, vol.38, issue.3, pp.343-355, 1980.
DOI : 10.1090/qam/592201

A. C. Pipkin, PLANE TRACTION PROBLEMS FOR INEXTENSIBLE NETWORKS, The Quarterly Journal of Mechanics and Applied Mathematics, vol.34, issue.4, pp.415-429, 1981.
DOI : 10.1093/qjmam/34.4.415

A. C. Pipkin, Stress Channelling and Boundary Layers in Strongly Anisotropic Solids, pp.123-145, 1984.
DOI : 10.1007/978-3-7091-4336-0_4

A. C. Pipkin, Continuously distributed wrinkles in fabrics, Archive for Rational Mechanics and Analysis, vol.40, issue.2, pp.93-115, 1986.
DOI : 10.1007/BF00281083

A. C. Pipkin and R. S. Rivlin, Minimum-Weight Design for Pressure Vessels Reinforced With Inextensible Fibers, Journal of Applied Mechanics, vol.30, issue.1, pp.103-108, 1963.
DOI : 10.1115/1.3630053

A. C. Pipkin and T. G. Rogers, A mixed boundary-value problem for fiber-reinforced materials, Quarterly of Applied Mathematics, vol.29, issue.1, pp.151-155, 1971.
DOI : 10.1090/qam/99764

A. C. Pipkin and T. G. Rogers, Plane Deformations of Incompressible Fiber-Reinforced Materials, Journal of Applied Mechanics, vol.38, issue.3, pp.634-640, 1971.
DOI : 10.1115/1.3408866

A. C. Pipkin and T. G. Rogers, Infinitesimal plane wrinkling of inextensible networks, Journal of Elasticity, vol.40, issue.1, pp.35-52, 1987.
DOI : 10.1007/BF00042446

A. C. Pipkin, Stress Analysis for Fiber-Reinforced Materials, Adv. Appl. Mech, vol.19, pp.1-51, 1979.
DOI : 10.1016/S0065-2156(08)70308-9

A. C. Pipkin, Equilibrium of Tchebychev nets In: The Breadth and Depth of Continuum Mechanics, pp.287-303, 1986.

A. C. Pipkin and V. M. Sanchez, Existence of Solutions of Plane Traction Problems for Ideal Composites, SIAM Journal on Applied Mathematics, vol.26, issue.1, pp.213-220, 1974.
DOI : 10.1137/0126018

R. S. Rivlin, Plane strain of a net formed by inextensible cords, J. Ration. Mech. Anal, vol.4, issue.6, pp.951-974, 1955.

R. S. Rivlin, Constitutive equation for a fiber-reinforced lamina, IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics, pp.379-384, 1995.

R. S. Rivlin, Networks of Inextensible Cords, pp.566-579, 1997.
DOI : 10.1007/978-1-4612-2416-7_38

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.914-927, 2013.
DOI : 10.1002/zamm.201200285
URL : https://hal.archives-ouvertes.fr/hal-01167209

G. F. Smith and R. S. Rivlin, Stress-deformation relations for anisotropic solids, Archive for Rational Mechanics and Analysis, vol.1, issue.1, pp.107-112, 1957.
DOI : 10.1007/BF00297999

G. F. Smith and R. S. Rivlin, The strain-energy function for anisotropic elastic materials, pp.541-559, 1997.

A. J. Spencer, Continuum Theory of the Mechanics of Fibre-Reinforced Composites, CISM Courses and Lectures, vol.282, 1984.

D. J. Steigmann and A. C. Pipkin, FINITE DEFORMATIONS OF WRINKLED MEMBRANES, The Quarterly Journal of Mechanics and Applied Mathematics, vol.42, issue.3, pp.427-440, 1989.
DOI : 10.1093/qjmam/42.3.427

D. J. Steigmann and A. C. Pipkin, Equilibrium of Elastic Nets, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.335, issue.1639, pp.419-454, 1639.
DOI : 10.1098/rsta.1991.0056

G. Thiagarajan, K. Deshmukh, Y. Wang, A. Misra, J. L. Katz et al., Nano finite element modeling of the mechanical behavior of biocomposites using multi-scale (virtual internal bond) material models, Journal of Biomedical Materials Research Part A, vol.100, issue.2, pp.332-344, 2007.
DOI : 10.1002/jbm.a.31241

A. Tomic, A. Grillo, and S. Federico, Poroelastic materials reinforced by statistically oriented fibres--numerical implementation and application to articular cartilage, IMA Journal of Applied Mathematics, vol.79, issue.5, pp.1027-1059, 2014.
DOI : 10.1093/imamat/hxu039

W. B. Wang and A. C. Pipkin, INEXTENSIBLE NETWORKS WITH BENDING STIFFNESS, The Quarterly Journal of Mechanics and Applied Mathematics, vol.39, issue.3, pp.343-359, 1986.
DOI : 10.1093/qjmam/39.3.343

W. B. Wang and A. C. Pipkin, Plane deformations of nets with bending stiffness, Acta Mechanica, vol.26, issue.1-4, pp.1-4, 1987.
DOI : 10.1007/BF01176886

W. O. Williams, Forces in Tchebychev nets In: Waves and Stability in Continuous Media, Ser. Adv. Math. Appl. Sci, vol.4, pp.408-418, 1991.

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