Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

Maximum Poisson's Ratios in Planar Isotropic Crystals of Binary Hard Discs at High Pressures

“…www.advancedsciencenews.com www.pss-b.com hand, Poisson's ratios of systems S3, S3i, and S6i in the close packing limit tend to some intermediate values between hard discs, for which v is equal to 0.1308 (22) [45] and the maximum value (þ1) allowed for isotropic 2D systems. For both models, S3 and S3i the Poisson's ratio at close packing is equal to 0.722(4) while for S6i structure it tends to 0.243 (8).…”

“…[1] From conditions of mechanical stability it follows that, in the case of elastic isotropic media, the Poisson's ratio may take values in the range À1 < ν < 1= D À 1 ð Þwhere D is the dimension of the system. [2] In recent years, systems [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and theoretical models [18][19][20][21][22][23][24][25][26][27][28][29][30] with various Poisson's ratios were intensively studied.…”

Auxetic and Negative Thermal Expansion Structure Based on Interconnected Array of Rings and Sliding Rods

“…[21] Auxetic behavior has also been obtained by making use of instability, particularly taking advantage of void collapse, by Bertoldi et al [22][23][24] Recent works on structural modification at the molecular level by Tretiakov et al [25] and Piglowski et al [26] also show the mechanisms which lead to control of auxeticity by using a proper structure. Other molecular mechanisms leading to auxeticity are attributed to Wojciechowski, [27] Tretiakov, [28] as well as Tretiakov and Wojciechowski, [29] while special conditions applied to specific systems due to which auxetic behavior can be observed have been reported by Wojciechowski [30] and Rechtsman et al [31] For a comprehensive review, the reader is referred to a recent monograph on auxetic materials and structures. [32] A novel auxetic and negative thermal expansion (NTE) structure based on rings with sliding rods is introduced herein.…”

Behavior of Extreme Auxetic and Incompressible Elastic Materials

“…[1][2][3][4][5][6] Yet the majority of auxetic materials are artificially made with the microstructure engineered to exhibit negative Poisson's ratio(s) at macroscopic level. These include re-entrant honeycomb structures, [7][8][9] tethered-nodule networks, [10][11][12] chiral systems, [13][14][15][16][17] rotating rigid and semi-rigid units, [18][19][20][21][22] interlocking units, [23,24] some granular materials, [24][25][26] molecular systems, [8,[27][28][29][30][31][32][33] foldable structures, [34] foams with missing ribs, [35] perforated sheets, [36][37][38][39][40] auxetic lattices, [41,42] beam and pivots networks, [43] multiphase composites with re-entrant microstructure, [44,45] multilayered composite...…”