Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 91, Issue -, Pages 56-72Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2016.02.010
Keywords
Auxetic structure; Microstructured medium; Negative Poisson's ratio; Elasticity; Metamaterials
Funding
- Regione Autonoma della Sardegna (LR7) ['M4' CRP-27585]
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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. (C) 2016 Elsevier Ltd. All rights reserved.
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