A class of auxetic three-dimensional lattices
arXiv:1506.04919 · doi:10.1016/j.jmps.2016.02.010
Abstract
We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed in order to have omni-directional Poisson's ratio arbitrarily close to the stability limit -1. The cubic behavior of the periodic system has been fully characterized; the minumum and maximum Poisson's ratio and the associated principal directions are given as a function of the microstructural parameters. The initial microstructure is then modified into a body centered-cubic system that can achieve a Poisson's ratio lower than -1 and that can also behave as an isotropic three-dimensional auxetic structure.
24 pages, 16 Figures (33 subfigures)
References in corpus (6)
- On three-dimensional dilational elastic metamaterials
- Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots
- Poisson's ratio in cubic materials
- Auxetic two-dimensional lattice with Poisson's Ratio arbitrarily close to -1
- New examples of three-dimensional dilational materials
- Adaptable nonlinear bimode metamaterials with rigid bars, pivots, and actuators
Cited by in corpus (5)
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- Liquid Structures: a novel Computational Fluid Dynamics (CFD) inspired metamaterial
- Optimal isotropic, reusable truss lattice material with near-zero Poisson's ratio