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

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 mesoscal...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Morvaridi, Maryam, Carta, Giorgio, Bosia, Federico, Gliozzi, Antonio S, Pugno, Nicola M, Misseroni, Diego, Brun, Michele
Format: Article
Language:English
Subjects:
Boundary conditions
Poisson's ratio
Porous media
Unit cell
Online Access:Get full text
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Summary: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
ISSN:2331-8422
DOI:10.48550/arxiv.2210.12650