Auxetic two-dimensional lattices with Poisson's ratio arbitrarily close to −1

@article{Cabras2014AuxeticTL,
  title={Auxetic two-dimensional lattices with Poisson's ratio arbitrarily close to −1},
  author={L. Cabras and Michele Brun},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2014},
  volume={470}
}
  • L. Cabras, M. Brun
  • Published 21 July 2014
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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… 
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References

SHOWING 1-10 OF 80 REFERENCES
Homogenization of periodic hexa- and tetrachiral cellular solids
On three-dimensional dilational elastic metamaterials
Dilational materials are stable, three-dimensional isotropic auxetics with an ultimate Poissonʼs ratio of −1. Inspired by previous theoretical work, we design a feasible blueprint for an artificial
Elasto-static micropolar behavior of a chiral auxetic lattice
Auxetic foams: Modelling negative Poisson's ratios
Wave Propagation in Auxetic Tetrachiral Honeycombs
This paper describes a numerical and experimental investigation on the flexural wave propagation properties of a novel class of negative Poisson's ratio honeycombs with tetrachiral topology.
Composite materials with poisson's ratios close to — 1
Models for the elastic deformation of honeycombs
Microscopic examination of the microstructure and deformation of conventional and auxetic foams
Auxetic materials have a negative Poisson’s ratio, that is, they expand laterally when stretched longitudinally. One way of obtaining a negative Poisson’s ratio is by using a re-entrant cell
Negative Poisson's ratios as a common feature of cubic metals
Poisson's ratio is, for specified directions, the ratio of a lateral contraction to the longitudinal extension during the stretching of a material. Although a negative Poisson's ratio (that is, a
...
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