We propose a novel two-dimensional hierarchical auxetic structure consisting of a porous medium in which a homogeneous matrix includes a rank-two set of cuts characterised by different scales. The six-fold symmetry of the perforations makes the medium isotropic in the plane. Remarkably, the mesoscale interaction between the first- and second-level cuts enables the attainment of a value of the Poisson's ratio close to the minimum reachable limit of -1. The effective properties of the hierarchical auxetic structure are determined numerically, considering both a unit cell with periodic boundary conditions and a finite structure containing a large number of repeating cells. Further, results of the numerical study are validated experimentally on a polymeric specimen with appropriately arranged rank-two cuts, tested under uniaxial tension. We envisage that the proposed hierarchical design can be useful in numerous engineering applications exploiting an extreme auxetic effect. © 2021 Elsevier Ltd. All rights reserved.

Hierarchical auxetic and isotropic porous medium with extremely negative Poisson's ratio / Morvaridi, Maryam; Carta, Giorgio; Bosia, Federico; Gliozzi, Antonio S.; Pugno, Nicola M.; Misseroni, Diego; Brun, Michele. - In: EXTREME MECHANICS LETTERS. - ISSN 2352-4316. - 48:(2021), pp. 101405.1-101405.9. [10.1016/j.eml.2021.101405]

Hierarchical auxetic and isotropic porous medium with extremely negative Poisson's ratio

Bosia, Federico;Pugno, Nicola M.;Misseroni, Diego;Brun, Michele
2021

Abstract

We propose a novel two-dimensional hierarchical auxetic structure consisting of a porous medium in which a homogeneous matrix includes a rank-two set of cuts characterised by different scales. The six-fold symmetry of the perforations makes the medium isotropic in the plane. Remarkably, the mesoscale interaction between the first- and second-level cuts enables the attainment of a value of the Poisson's ratio close to the minimum reachable limit of -1. The effective properties of the hierarchical auxetic structure are determined numerically, considering both a unit cell with periodic boundary conditions and a finite structure containing a large number of repeating cells. Further, results of the numerical study are validated experimentally on a polymeric specimen with appropriately arranged rank-two cuts, tested under uniaxial tension. We envisage that the proposed hierarchical design can be useful in numerous engineering applications exploiting an extreme auxetic effect. © 2021 Elsevier Ltd. All rights reserved.
Morvaridi, Maryam; Carta, Giorgio; Bosia, Federico; Gliozzi, Antonio S.; Pugno, Nicola M.; Misseroni, Diego; Brun, Michele
Hierarchical auxetic and isotropic porous medium with extremely negative Poisson's ratio / Morvaridi, Maryam; Carta, Giorgio; Bosia, Federico; Gliozzi, Antonio S.; Pugno, Nicola M.; Misseroni, Diego; Brun, Michele. - In: EXTREME MECHANICS LETTERS. - ISSN 2352-4316. - 48:(2021), pp. 101405.1-101405.9. [10.1016/j.eml.2021.101405]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/330948
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