Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies. At variance, two-dimensional bodies have more freedom to deform than three-dimensional ones. Here, we exploit this peculiarity and propose a two-dimensional honeycomb microstructure with out-of-plane auxetic behavior opposite to the in-plane one. With a suitable choice of the lattice constitutive parameters, in its continuum description such a structure can achieve the whole range of values for the bending Poisson coefficient, while retaining a membranal Poisson coefficient equal to 1. In particular, this structure can reach the extreme values, −1 and +1, of the bending Poisson coefficient. Analytical calculations are supported by numerical simulations, showing the accuracy of the continuum formulas in predicting the response of the discrete structure.

A 2D microstructure with auxetic out-of-plane behavior and non-auxetic in-plane behavior / Davini, Cesare; Favata, Antonino; Paroni, Roberto. - In: SMART MATERIALS AND STRUCTURES. - ISSN 0964-1726. - 26:(2017). [10.1088/1361-665X/aa9091]

A 2D microstructure with auxetic out-of-plane behavior and non-auxetic in-plane behavior

Antonino Favata
;
2017

Abstract

Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies. At variance, two-dimensional bodies have more freedom to deform than three-dimensional ones. Here, we exploit this peculiarity and propose a two-dimensional honeycomb microstructure with out-of-plane auxetic behavior opposite to the in-plane one. With a suitable choice of the lattice constitutive parameters, in its continuum description such a structure can achieve the whole range of values for the bending Poisson coefficient, while retaining a membranal Poisson coefficient equal to 1. In particular, this structure can reach the extreme values, −1 and +1, of the bending Poisson coefficient. Analytical calculations are supported by numerical simulations, showing the accuracy of the continuum formulas in predicting the response of the discrete structure.
2017
auxetic behavior, metamaterials, bending Poisson coefficient, synclastic surfaces
01 Pubblicazione su rivista::01a Articolo in rivista
A 2D microstructure with auxetic out-of-plane behavior and non-auxetic in-plane behavior / Davini, Cesare; Favata, Antonino; Paroni, Roberto. - In: SMART MATERIALS AND STRUCTURES. - ISSN 0964-1726. - 26:(2017). [10.1088/1361-665X/aa9091]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1014978
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