A. Ajdari, B. H. Jahromi, J. Papadopoulos, H. Nayeb-hashemi, and A. Vaziri, Hierarchical honeycombs with tailorable properties, International Journal of Solids and Structures, vol.49, pp.1413-1419, 2012.

B. Audoly, Localized buckling of a floating elastica, Physical Review E, vol.84, p.11605, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01898151

B. Audoly and A. Boudaoud, Buckling of a stiff film bound to a compliant substrate-part i:: Formulation, linear stability of cylindrical patterns, secondary bifurcations, J. Mech. Phys. Solids, vol.56, pp.2401-2421, 2008.

E. J. Barbero, E. K. Dede, and S. Jones, Experimental verification of buckling-mode interaction in intermediatelength composite columns, International journal of solids and structures, vol.37, pp.3919-3934, 2000.

A. Barnes, K. Ravi-chandar, S. Kyriakides, and S. Gaitanaros, Dynamic crushing of aluminum foams: Part iexperiments, International Journal of Solids and Structures, vol.51, pp.1631-1645, 2014.

Z. Bazant, L. Cedolin, Z. P. Ba?ant, and M. Christensen, Stability of structures: elastic, inelastic, fracture and damage theories, Journal of the Structural Division, vol.98, pp.2269-2289, 1972.

E. Byskov, Elastic buckling with infinitely many local modes, Journal of Structural Mechanics, vol.15, pp.413-435, 1987.

S. Cai, D. Breid, A. J. Crosby, Z. Suo, and J. W. Hutchinson, Periodic patterns and energy states of buckled films on compliant substrates, Journal of the Mechanics and Physics of Solids, vol.59, pp.1094-1114, 2011.

M. Camacho-lopez, H. Finkelmann, P. Palffy-muhoray, and M. Shelley, Fast liquid-crystal elastomer swims into the dark, Nature materials, vol.3, p.307, 2004.

X. Chen and J. W. Hutchinson, Herringbone buckling patterns of compressed thin films on compliant substrates, Journal of applied mechanics, vol.71, pp.597-603, 2004.

C. Combescure and R. S. Elliott, Hierarchical honeycomb material design and optimization: Beyond linearized behavior, International Journal of Solids and Structures, vol.115, pp.161-169, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01648159

C. Combescure, P. Henry, and R. S. Elliott, Post-bifurcation and stability of a finitely strained hexagonal honeycomb subjected to equi-biaxial in-plane loading, International Journal of Solids and Structures, vol.88, pp.296-318, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01647871

K. Danas, D. Mukherjee, K. Haldar, and N. Triantafyllidis, Bifurcation analysis of twisted liquid crystal bilayers, Journal of the Mechanics and Physics of Solids, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01875675

K. Danas and N. Triantafyllidis, Instability of a magnetoelastic layer resting on a non-magnetic substrate, J. Mech. Phys. Solids, vol.69, pp.67-83, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00995717

V. S. Deshpande, N. A. Fleck, and M. F. Ashby, Effective properties of the octet-truss lattice material, Journal of the Mechanics and Physics of Solids, vol.49, pp.1747-1769, 2001.

H. Fan, F. Jin, and D. Fang, Mechanical properties of hierarchical cellular materials, Analysis. Composites Science and Technology, vol.68, pp.3380-3387, 2008.

H. Fan, F. Jin, and D. Fang, Uniaxial local buckling strength of periodic lattice composites, Materials & Design, vol.30, pp.4136-4145, 2009.

S. Gaitanaros and S. Kyriakides, Dynamic crushing of aluminum foams: Part ii -analysis, International Journal of Solids and Structures, vol.51, pp.1646-1661, 2014.

S. Gaitanaros, S. Kyriakides, and A. M. Kraynik, On the crushing response of random open-cell foams, Proceedings of International Union of Theoretical and Applied Mechanics Symposium, vol.49, pp.2733-2743, 2012.

F. Gerbal, Y. Wang, F. Lyonnet, J. C. Bacri, T. Hocquet et al., A refined theory of magnetoelastic buckling matches experiments with ferromagnetic and superparamagnetic rods, Proc. Nat. Acad. Sci, vol.112, pp.7135-7140, 2015.

M. Golubitsky and I. Stewart, Singularities and groups in bifurcation theory, vol.2, 2012.

B. Haghpanah, J. Papadopoulos, D. Mousanezhad, H. Nayeb-hashemi, and A. Vaziri, Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state, Proc. R. Soc. a, vol.470, 2014.

T. J. Healey and S. Dharmavaram, Symmetry-breaking global bifurcation in a surface continuum phase-field model for lipid bilayer vesicles, SIAM Journal on Mathematical Analysis, vol.49, pp.1027-1059, 2017.

K. Hibbitt and . Sorensen, ABAQUS/standard: User's Manual, Hibbitt, Karlsson & Sorensen, vol.1, 1998.

R. Huang, Kinetic wrinkling of an elastic film on a viscoelastic substrate, Journal of the Mechanics and Physics of Solids, vol.53, pp.63-89, 2005.

R. Huang and Z. Suo, Instability of a compressed elastic film on a viscous layer, International Journal of Solids and Structures, vol.39, pp.1791-1802, 2002.

S. Huang, G. Pessot, P. Cremer, R. Weeber, C. Holm et al., Buckling of paramagnetic chains in soft gels, Soft Matter, vol.12, pp.228-237, 2016.

G. Hunt, Hidden (a) symmetries of elastic and plastic bifurcation, Applied Mechanics Reviews, vol.39, pp.1165-1186, 1986.

G. W. Hunt, L. Da-silva, and G. Manzocchi, Interactive buckling in sandwich structures, Proc. R. Soc. Lond. A, vol.417, pp.155-177, 1988.

G. W. Hunt and M. A. Wadee, Localization and mode interaction in sandwich structures, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp.1197-1216, 1998.

J. Hutchinson and W. Koiter, Postbuckling theory, Appl. Mech. Rev, vol.23, pp.1353-1366, 1970.

E. W. Jager, E. Smela, and O. Inganäs, Microfabricating conjugated polymer actuators, Science, vol.290, pp.1540-1545, 2000.

F. Javid, J. Liu, J. Shim, J. C. Weaver, A. Shanian et al., Mechanics of instability-induced pattern transformations in elastomeric porous cylinders, Journal of the Mechanics and Physics of Solids, vol.96, pp.1-17, 2016.

S. H. Kang, S. Shan, A. Ko?mrlj, W. L. Noorduin, S. Shian et al., Complex ordered patterns in mechanical instability induced geometrically frustrated triangular cellular structures, Physical review letters, vol.112, p.98701, 2014.

T. V. Karman, The buckling of spherical shells by external pressure, Journal of the Aeronautical Sciences, vol.7, pp.43-50, 1939.

D. M. Kochmann and K. Bertoldi, Exploiting microstructural instabilities in solids and structures: From metamaterials to structural transitions, Applied Mechanics Reviews, vol.69, pp.50801-050801, 2017.

W. T. Koiter and M. Pignataro, An alternative approach to the interaction between local and overall buckling in stiffened panels, Buckling of structures, pp.133-148, 1976.

G. W. Kooistra, V. Deshpande, and H. N. Wadley, Hierarchical corrugated core sandwich panel concepts, Journal of applied mechanics, vol.74, pp.259-268, 2007.

M. Kothari, M. H. Cha, and K. S. Kim, Critical curvature localization in graphene. i. quantum-flexoelectricity effect, Proc, 2018.

A. Lee, F. L. Jiménez, J. Marthelot, J. W. Hutchinson, and P. M. Reis, The geometric role of precisely engineered imperfections on the critical buckling load of spherical elastic shells, Journal of Applied Mechanics, vol.83, p.111005, 2016.

H. Lee, J. Zhang, H. Jiang, and N. X. Fang, Prescribed pattern transformation in swelling gel tubes by elastic instability, Physical Review Letters, vol.108, 2012.

B. Li, Y. P. Cao, X. Q. Feng, and H. Gao, Mechanics of morphological instabilities and surface wrinkling in soft materials: a review, Soft Matter, vol.8, pp.5728-5745, 2012.

Y. Liu, K. Yu, H. Hu, S. Belouettar, M. Potier-ferry et al., A new fourier-related double scale analysis for instability phenomena in sandwich structures, International Journal of Solids and Structures, vol.49, pp.3077-3088, 2012.

J. Marthelot, F. López-jiménez, A. Lee, J. W. Hutchinson, and P. M. Reis, Buckling of a pressurized hemispherical shell subjected to a probing force, Journal of Applied Mechanics, vol.84, pp.121005-121005, 2017.

L. R. Meza, A. J. Zelhofer, N. Clarke, A. J. Mateos, D. M. Kochmann et al., Resilient 3d hierarchical architected metamaterials, Proc. Nat. Acad. Sci, vol.112, pp.11502-11507, 2015.

D. Mousanezhad, S. Babaee, H. Ebrahimi, R. Ghosh, A. S. Hamouda et al., Hierarchical honeycomb auxetic metamaterials, Scientific reports, vol.5, p.18306, 2015.

D. Mousanezhad, B. Haghpanah, R. Ghosh, A. M. Hamouda, H. Nayeb-hashemi et al., Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: a simple energy-based approach, Theoretical and Applied Mechanics Letters, vol.6, pp.81-96, 2016.

T. Mullin, S. Deschanel, K. Bertoldi, and M. C. Boyce, Pattern transformation triggered by deformation. Physical review letters 99, p.84301, 2007.

A. Van-der-neut, The interaction of local buckling and column failure of thin-walled compression members, pp.389-399, 1969.

R. Oftadeh, B. Haghpanah, D. Vella, A. Boudaoud, and A. Vaziri, Optimal fractal-like hierarchical honeycombs, Physical review letters, vol.113, 2014.

N. Ohno, D. Okumura, and T. Niikawa, Long-wave buckling of elastic square honeycombs subject to in-plane biaxial compression, International journal of mechanical sciences, vol.46, pp.1697-1713, 2004.

D. Okumura, N. Ohno, and H. Noguchi, Elastoplastic microscopic bifurcation and post-bifurcation behavior of periodic cellular solids, Journal of the Mechanics and Physics of Solids, vol.52, pp.641-666, 2004.

S. Papka and S. Kyriakides, Biaxial crushing of honeycombs:-part 1: Experiments, International Journal of Solids and Structures, vol.36, pp.4367-4396, 1999.

S. Papka and S. Kyriakides, In-plane biaxial crushing of honeycombs-: Part ii, Analysis. International Journal of Solids and Structures, vol.36, pp.4397-4423, 1999.

S. D. Papka and S. Kyriakides, In-plane compressive response and crushing of honeycomb, Journal of the Mechanics and Physics of Solids, vol.42, pp.1499-1532, 1994.

S. D. Papka and S. Kyriakides, Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb, Acta materialia, vol.46, pp.2765-2776, 1998.

A. C. Pipkin, Some examples of crinkles, Homogenization and Efective Moduli, pp.182-195, 1986.

E. Psarra, L. Bodelot, and K. Danas, Two-field surface pattern control via marginally stable magnetorheological elastomers, Soft Matter, vol.13, pp.6576-6584, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01627525

B. Russell, V. Deshpande, and N. Fleck, The through-thickness compressive strength of a composite sandwich panel with a hierarchical square honeycomb sandwich core, Journal of Applied Mechanics, vol.76, p.61004, 2009.

M. Ryvkin and R. Shraga, Fracture toughness of hierarchical self-similar honeycombs, International Journal of Solids and Structures, 2018.

N. Stoop, R. Lagrange, D. Terwagne, P. M. Reis, and J. Dunkel, Curvature-induced symmetry breaking determines elastic surface patterns, Nature materials, vol.14, pp.337-342, 2015.

Y. Sun, Q. Chen, and N. Pugno, Elastic and transport properties of the tailorable multifunctional hierarchical honeycombs, Composite Structures, vol.107, pp.698-710, 2014.

Y. Sun and N. M. Pugno, In plane stiffness of multifunctional hierarchical honeycombs with negative poisson's ratio sub-structures, Composite Structures, vol.106, pp.681-689, 2013.

C. Taylor, C. Smith, W. Miller, and K. Evans, The effects of hierarchy on the in-plane elastic properties of honeycombs, International Journal of Solids and Structures, vol.48, pp.1330-1339, 2011.

J. Thompson and G. Lewis, On the optimum design of thin-walled compression members, Journal of the Mechanics and Physics of Solids, vol.20, pp.101-109, 1972.

J. M. Thompson and G. W. Hunt, A general theory of elastic stability, 1973.

S. Timoshenko, J. Gere, . Incoroporated, N. Triantafyllidis, M. Nestorovi´cnestorovi´c et al., Failure surfaces for finitely strained two-phase periodic solids under general in-plane loading, Journal of Applied Mechanics, vol.73, pp.505-515, 1936.

V. Trujillo, J. Kim, and R. C. Hayward, Creasing instability of surface-attached hydrogels, Soft Matter, vol.4, pp.564-569, 2008.

V. Tvergaard, Imperfection-sensitivity of a wide integrally stiffened panel under compression, International Journal of Solids and Structures, vol.9, pp.177-192, 1973.

V. Tvergaard and A. Needleman, On the localization of buckling patterns, Journal of Applied Mechanics, vol.47, pp.613-619, 1980.

T. Wah, The buckling of gridworks, Journal of the Mechanics and Physics of Solids, vol.13, pp.1-16, 1965.

L. Wang, J. Lau, E. L. Thomas, and M. C. Boyce, Co-continuous composite materials for stiffness, strength, and energy dissipation, Advanced Materials, vol.23, pp.1524-1529, 2011.

Q. Wang and X. Zhao, Creasing-wrinkling transition in elastomer films under electric fields, Physical Review E, vol.88, p.42403, 2013.

Q. Wang and X. Zhao, Beyond wrinkles: Multimodal surface instabilities for multifunctional patterning, MRS Bulletin, vol.41, pp.115-122, 2016.

F. Xu, M. Potier-ferry, S. Belouettar, and Y. Cong, 3d finite element modeling for instabilities in thin films on soft substrates, International Journal of Solids and Structures, vol.51, pp.3619-3632, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01503455

S. Yiatros and M. A. Wadee, Interactive buckling in sandwich beam-columns, IMA journal of applied mathematics, vol.76, pp.146-168, 2010.

O. Zerhouni, M. Tarantino, and K. Danas, Numerically-aided 3d printed random isotropic porous materials approaching the hashin-shtrikman bounds, Composites Part B: Engineering, vol.156, pp.344-354, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01875669

X. Zheng, W. Smith, J. Jackson, B. Moran, H. Cui et al., Multiscale metallic metamaterials, Nature materials, vol.15, p.1100, 2016.

H. Zhu, L. Yan, R. Zhang, and X. Qiu, Size-dependent and tunable elastic properties of hierarchical honeycombs with regular square and equilateral triangular cells, Acta Materialia, vol.60, pp.4927-4939, 2012.