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Brun, Michele
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Publications (9/9 displayed)
- 2020Insights in Strain and Stress States of Conical Shapes Flow Formingcitations
- 2018Bending strength of porous ceramics tiles: Bounds and estimates of effective properties of an Intermingled Fractal Units' modelcitations
- 2017Gyroidal structures as approximants to nanoporous metal foams: clues from mechanical propertiescitations
- 2016A class of auxetic three-dimensional latticescitations
- 2016Continuous and discrete microstructured materials with null Poisson’s ratiocitations
- 2013Iteration method in linear elasticity of random structure composites containing heterogeneities of noncanonical shapecitations
- 2013Crack propagation induced by thermal shocks in structured mediacitations
- 2011FEA in elasticity of random structure composites reinforced by heterogeneities of non canonical shapecitations
- 2007Homogenization estimates for fiber-reinforced elastomers with periodic microstructurescitations
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article
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.