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A two-dimensional model representing a square lattice of round particles is
proposed for description of auxetic properties of an anisotropic crystalline material with cubic
symmetry. It is assumed that each particle has two translational and one rotational degrees of
freedom. Differential equations describing the propagation of elastic and rotational waves in
such a medium have been derived. Relationships between the macroelasticity constants of the
medium and the parameters of its inner structure have been found. It has been shown that the
Poisson's ratios of the anisotropic material can be negative for certain values of the parameters
of its inner structure.
Keywords: anisotropic material; auxetic properties; two-dimensional model |
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