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A realistic generic model for anti‐tetrachiral systems
Author(s) -
Gatt Ruben,
Attard Daphne,
Farrugia PierreSandre,
Azzopardi Keith M.,
Mizzi Luke,
Brincat JeanPierre,
Grima Joseph N.
Publication year - 2013
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201384246
Subject(s) - poisson's ratio , poisson distribution , rigidity (electromagnetism) , finite element method , radius , materials science , geometry , computer science , topology (electrical circuits) , mathematics , structural engineering , composite material , engineering , combinatorics , statistics , computer security
Chiral systems are a class of structures, which may exhibit the anomalous property of a negative Poisson's ratio. Proposed by Wojciechowski and implemented later by Lakes, these structures have aroused interest due to their remarkable mechanical properties and numerous potential applications. In view of this, this paper investigates the on‐axis mechanical properties of the general forms of the flexing anti‐tetrachiral system through analytical and finite element models. The results suggest that these are highly dependent on the geometry (the ratio of ligament lengths, thicknesses, and radius of nodes) and material properties of the constituent materials. We also show that the rigidity of an anti‐tetrachiral system can be changed without altering the Poisson's ratio. The anti‐tetrachiral system, with the unit cell shown in red.