H. Abdoul-anziz, Homogénéisation de compositesélastiques périodiquesà fort contraste: Conception de métamatériaux de second gradient, 2018.

H. Abdoul-anziz and P. Seppecher, Homogenization of periodic graph-based elastic structures, Journal de l'Ecole polytechnique-Mathématiques, vol.5, pp.259-288, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01492589

H. Abdoul-anziz and P. Seppecher, Strain gradient and generalized continua obtained by homogenizing frame lattices, Mathematics and Mechanics of Complex Systems, vol.6, issue.3, pp.213-250, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01672898

J. Alibert and A. Della-corte, Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof, Z. Angew. Math. Phys, vol.66, issue.5, pp.2855-2870, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01279491

J. Alibert, P. Seppecher, and F. , Truss modular beams with deformation energy depending on higher displacement gradients, Mathematics and Mechanics of Solids, vol.8, issue.1, pp.51-73, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00497327

G. Allaire, Homogenization and two-scale convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992.
URL : https://hal.archives-ouvertes.fr/hal-01111805

C. Barbarosie and A. Toader, Optimization of bodies with locally periodic microstructure. Mechanics of advanced materials and structures, vol.19, pp.290-301, 2012.

C. Barbarosie and A. Toader, Optimization of bodies with locally periodic microstructure by varying the periodicity pattern, Networks and Heterogeneous Media, vol.9, issue.3, pp.433-451, 2014.

M. Bellieud and G. Bouchitté, Homogenization of a soft elastic material reinforced by fibers, Asymptotic Analysis, vol.32, issue.2, pp.153-183, 2002.

A. Bensoussan, J. Lions, and G. Papanicolau, Asymptotic Analysis for Periodic Structures, 1978.

G. Bouchitté and I. Fragalà, Homogenization of thin structures by two-scale method with respect to measures, SIAM Journal on Mathematical Analysis, vol.32, issue.6, pp.1198-1226, 2006.

C. Boutin, Microstructural effects in elastic composites, International Journal of Solids and Structures, vol.33, issue.7, pp.1023-1051, 1996.
URL : https://hal.archives-ouvertes.fr/hal-00940462

C. Boutin, F. Isola, I. Giorgio, and L. Placidi, Linear pantographic sheets: Asymptotic micro-macro models identification, MEMOCS, vol.5, issue.2, pp.127-162, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01494280

A. Braides, ?-convergence for Beginners, 2002.

M. Briane and M. Camar-eddine, Homogenization of two-dimensional elasticity problems with very stiff coefficients, Journal de mathématiques pures et appliquées, vol.88, issue.6, pp.483-505, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00158636

G. A. Chechkin, A. L. Piatnitski, and A. S. Shamaev, Homogenization: Methods and Applications, 2007.

D. Cioranescu and P. Donato, An Introduction to homogenization, 1999.

G. Maso, An Introduction to ?-Convergence, 1993.

F. Isola, I. Giorgio, M. Pawlikowski, and N. Rizzi, Large deformations of planar extensible beams and pantographic lattices: Heuristic homogenization, experimental and numerical examples of equilibrium, Proceedings of the Royal Society. Series A: Mathematical, Physical and Engineering Sciences, vol.472, 2016.

F. Dell'isola and P. Seppecher, The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power. Comptes rendus de l'Académie des sciences, Série IIb, p.7, 1995.

F. Isola and P. Seppecher, Edge contact forces and quasi-balanced power, Meccanica, vol.32, issue.1, pp.33-52, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00494641

F. 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, P. Seppecher, and A. D. Corte, The postulationsà la D'Alembert andà la Cauchy for higher gradient continuum theories are equivalent: a review of existing results, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.471, p.20150415, 2015.

A. C. Eringen, Microcontinuum field theories II: Fluent media, vol.2, 2001.

B. Gambin and E. Kröner, Higher-order terms in the homogenized stress-strain relation of periodic elastic media, Physica status solidi (b), vol.151, issue.2, pp.513-519, 1989.

P. Germain, Cours de Mécanique des Milieux Continus. Tome I: Théorie générale, 1973.

I. Giorgio, Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures, Z. Angew. Math. Phys, vol.67, issue.4, p.95, 2016.

V. V. Jikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of Differential Operators and Integral Functionals, 1994.

G. Nguetseng, A general convergence result for a functional related to the theory of homogenization, SIAM Journal on Mathematical Analysis, vol.20, issue.3, pp.608-623, 1989.

O. A. Oleinik, A. Shamaev, and G. A. Yosifian, Mathematical problems in elasticity and homogenization, 1992.

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

L. Placidi, U. Andreaus, and I. Giorgio, Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model, Journal of Engineering Mathematics, vol.103, issue.1, pp.1-21, 2017.

L. Placidi, E. Barchiesi, E. Turco, and N. L. Rizzi, A review on 2D models for the description of pantographic fabrics, Z. Angew. Math. Phys, vol.67, issue.5, p.121, 2016.

Y. Rahali, I. Giorgio, J. Ganghoffer, and F. , Homogenizationà la Piola produces second gradient continuum models for linear pantographic lattices, International Journal of Engineering Science, vol.97, pp.148-172, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01223794

E. Sanchez-palencia, Non homogeneous media and vibration theory, 1980.

P. Seppecher, J. Alibert, and F. , Linear elastic trusses leading to continua with exotic mechanical interactions, Journal of Physics: Conference Series, vol.319, issue.1, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00630098

E. Turco, F. Isola, A. Cazzani, and N. L. Rizzi, Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models, Z. Angew. Math. Phy, vol.67, issue.4, p.85, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01345864

E. Turco, M. Golaszewski, A. Cazzani, and N. L. Rizzi, Large deformations induced in planar pantographic sheets by loads applied on fibers: experimental validation of a discrete lagrangian model, Mech. Res. Commun, vol.76, pp.51-56, 2016.