Equivalent mechanical properties of auxetic lattices from discrete homogenization

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Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods (2013, methodology): “Compared to other homogenization schemes, a noteworthy advantage of AH is that the stress distribution in the unit cell can be determined accurately and thus be used for a detailed analysis of the strength and damage of the heterogeneous periodic materials [38,53,54].”
Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence (2015, unknown): “, [6,18,84,85]) is left for future investigations.”
Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof (2015, unknown): “, [39–41].”
Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices (2015, methodology): “Classical homogenization of such structures with a discrete topology towards an equivalent Cauchy continuum has been an active research field since many years, and several methods have been developed over the last two decades to find an effective continuum (Bornet, Bretheau, & Gilormini, 2001; Chesn”