A partially-auxetic metamaterial is introduced, inspired by the
Maltese cross. Each unit of this metamaterial consists of a pair of
counter-rotating equal-armed crosses, which is interconnected to
neighboring units via hinge rods and connecting rods. Based on
linkage theory, the on-axes Poisson's ratio was established
considering a two-fold symmetrical mechanism, while the
(anti)tetrachiral mechanisms were identified for on-axes uniaxial
compression. A shearing mechanism is suggested for pure shearing
and diagonal loading of the metamaterial with square array. Results
suggest that the approximated infinitesimal models are valid for
the Poisson's ratio of the two-fold symmetrical and the
(anti)tetrachiral mechanisms under on-axis tension and compression,
respectively; however, the finite model is recommended for
quantifying the Poisson's ratio under pure shear and off-axis
loading. This metamaterial manifests microstructural trinity, in
which three different loading modes result in three different
groups of deformation mechanisms. Finally, suggestions are put
forth for some unsolved predictive problems.
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