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Chiral three‐dimensional isotropic lattices with negative Poisson's ratio
Author(s) -
Ha Chan Soo,
Plesha Michael E.,
Lakes Roderic S.
Publication year - 2016
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.201600055
Subject(s) - isotropy , poisson's ratio , poisson distribution , auxetics , aspect ratio (aeronautics) , finite element method , geometry , mathematics , materials science , physics , optics , thermodynamics , composite material , statistics
Chiral three‐dimensional isotropic cubic lattices with rigid cubical nodules and multiple deformable ribs are developed and analyzed via finite element analysis. The lattices exhibit geometry‐dependent Poisson's ratio that can be tuned to negative values. Poisson's ratio decreases from positive to negative values as the number of cells increases. Isotropy is obtained by adjustment of aspect ratio. The lattices exhibit significant size effects. Such a phenomenon cannot occur in a classical elastic continuum but it can occur in a Cosserat solid.