Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 470, Issue 2172, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rspa.2014.0538
Keywords
auxetic; negative Poisson's ratio; homogenization
Categories
Funding
- European Community [PIEF-GA-2011-302357-DYNAMETA]
- Regione Autonoma della Sardegna (LR7) ['M4' CRP-27585]
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In this paper, we propose a class of lattice structures with macroscopic Poisson's ratio arbitrarily close to the stability limit -1. We tested experimentally the effective Poisson's ratio of the microstructured medium; the uniaxial test was performed on a thermoplastic lattice produced with a three-dimensional printing technology. A theoretical analysis of the effective properties was performed, and the expression of the macroscopic constitutive properties is given in full analytical form as a function of the constitutive properties of the elements of the lattice and on the geometry of the microstructure. The analysis was performed on three microgeometries leading to an isotropic behaviour for the cases of three- and sixfold symmetries and to a cubic behaviour for the case of fourfold symmetry.
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