A class of auxetic three-dimensional lattices. (June 2016)

• Record Type: Journal Article
• Authors: Cabras, Luigi; Brun, Michele
• Is Part Of: Journal of the mechanics and physics of solids. Volume 91(2016:Jun.)
• Page Start: 56
• Page End: 72
• Publication Date: 2016-06
• Subjects: Auxetic structure -- Microstructured medium -- Negative Poisson's ratio -- Elasticity -- Metamaterials; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2016.02.010
• Languages: English
• ISSNs: 0022-5096

Abstract

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. Graphical abstract: