, of Minnesota through NSF grants PHY-0941493 and CMMI-1462826 and the LMS at the Ecole Polytechnique during two consecutive, one-year post-doctoral fellowships in each Institution. The work of R. E. was supported by the NSF grants PHY-0941493 and CMMI-1462826 and by the LMS during several short visits. The authors acknowledge the Minnesota Supercomputing Institute (MSI) at the University of Minnesota for providing resources

Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures, J. Mech. Phys. Solids, vol.56, pp.2642-2668, 2008. ,

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

Stability of crystalline solids-II: Application to temperature-induced martensitic phase transformations in bi-atomic crystals, Journal of the Mechanics and Physics of Solids, vol.54, pp.193-232, 2006. ,

Reversible stress-induced martensitic phase transformations in a bi-atomic crystal, Journal of the Mechanics and Physics of Solids, vol.59, pp.216-236, 2011. ,

URL : https://hal.archives-ouvertes.fr/hal-00544469

Singularities and Groups in Bifurcation Theory, Applied Mathematical Sciences, vol.2, 1988. ,

Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state, Proc. R. Soc. A Math. Phys. Eng. Sci, vol.470, pp.20130856-20130856, 2014. ,

Buckling and pattern transformation of modified periodic lattice structures, Extrem. Mech. Lett, vol.22, pp.112-121, 2018. ,

Plastic buckling, Advances in Applied Mechanics, vol.14, pp.66-143, 1974. ,

Strain localization in circular honeycombs under in-plane biaxial quasi-static and low-velocity impact loading, Int. J. Impact Eng, vol.35, pp.753-770, 2008. ,

URL : https://hal.archives-ouvertes.fr/hal-00499106

Symmetry: An introduction to group theory and its applications, 2002. ,

Microscopic and macroscopic instabilities in finitely strained porous elastomers, Journal of the Mechanics and Physics of Solids, vol.55, 2007. ,

URL : https://hal.archives-ouvertes.fr/hal-00106306

Long-wave buckling of elastic square honeycombs subject to in-plane biaxial compression, Int. J. Mech. Sci, vol.46, pp.1697-1713, 2004. ,

Post-buckling analysis of elastic honeycombs subject to in-plane biaxial compression, International journal of solids and structures, vol.39, pp.3487-3503, 2002. ,

Compaction through buckling in 2D periodic, soft and porous structures: Effect of pore shape, Adv. Mater, vol.24, pp.2337-2342, 2012. ,

Relating pore shape to the non-linear response of periodic elastomeric structures, J. Mech. Phys. Solids, vol.64, pp.351-366, 2014. ,

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

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

Flower patterns appearing on a honeycomb structure and their bifurcation mechanism, International Journal of Bifurcation and Chaos, vol.15, pp.497-515, 2005. ,

A local quasicontinuum method for 3d multilattice crystalline materials: Application to shape-memory alloys, Modelling and Simulation in Materials Science and Engineering, vol.22, p.55001, 2014. ,

Mechanical metamaterials and their engineering applications, Adv. Eng. Mater, vol.21, pp.1-37, 2019. ,

On stability and the worst imperfection shape in solids with nearly simultaneous eigenmodes, International Journal of Solids and Structures, vol.29, pp.2281-2299, 1992. ,

Bending effects on flow localization in metallic sheets, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.406, pp.205-226, 1986. ,

Onset of failure in aluminum honeycombs under general in-plane loading, Journal of the Mechanics and Physics of Solids, vol.46, pp.1089-1124, 1998. ,