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A class of auxetic three-dimensional lattices
Abstract
We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed to have an omnidirectional Poisson's ratio arbitrarily close to the stability limit of -1. The cubic behaviour of the periodic system has been fully characterized; the minimum 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-centred cubic system that can achieve Poisson's ratio lower than -1 and that can also behave as an isotropic three-dimensional auxetic structure.- Publication:
- Journal of Mechanics Physics of Solids
- Pub Date:
- June 2016
- DOI:
- arXiv:
- arXiv:1506.04919
- Bibcode:
- 2016JMPSo..91...56C
- Keywords:
- Auxetic structure;
- Microstructured medium;
- Negative Poisson's ratio;
- Elasticity;
- Metamaterials;
- Physics - Classical Physics;
- Condensed Matter - Materials Science;
- 74B05
- E-Print:
- 24 pages, 16 Figures (33 subfigures)