Simulated optimisation of disordered structures with negative Poisson’s ratios

Horrigan, E J; Smith, Christopher W.; Scarpa, Fabrizio; Gaspar, N.; Berger, Mitchell A.; Evans, K.

doi:10.1016/j.mechmat.2009.04.008

Cited by 36 publications

(29 citation statements)

References 39 publications

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“…In the latter case, disorder has little affect on the Poisson's ratio. In contrast, studies on disordered versions of the re-entrant hexagonal lattice 19,20 demonstrate that disorder can change the impact resistance 21 and decrease the magnitude of the Poisson's ratio and yield strength significantly 22,23 . The re-entrant hexagonal geometry is a prototypical ordered auxetic lattice, whose mechanical behaviour has been extensively studied [24][25][26][27][28] .…”

Section: Introductionmentioning

confidence: 94%

Mechanics of disordered auxetic metamaterials

et al. 2018

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Auxetic materials are of great engineering interest not only because of their fascinating negative Poisson's ratio, but also due to the possibility to increase by design the toughness and indentation resistance. The general understanding of auxetic materials comes mostly from ordered or periodic structures, while auxetic materials used in applications are typically strongly disordered. Yet, the effect of disorder in auxetics has rarely been investigated. Here, we provide a systematic theoretical and experimental study of the effect of disorder on the mechanical properties of a paradigmatic two-dimensional auxetic lattice with a re-entrant hexagonal geometry. We show that disorder has a marginal effect on the Poisson's ratio until the point when the lattice topology becomes altered, and in all cases examined the disorder preserves the auxetic characteristics. Depending on the direction of loading applied to these disordered auxetic lattices, either brittle or ductile failure is observed. It is found that brittle failure is associated with a disorder-dependent tensile strength, whereas in ductile failure disorder does not affect strength. Our work thus provides general guidelines to design and optimize elasticity and strength of disordered auxetic metamaterials.

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Section: Introductionmentioning

confidence: 94%

Mechanics of disordered auxetic metamaterials

et al. 2018

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“…Under compressive loading, the closure of the microstructure predominates the NPR effect. Accordingly, a similar explanation can also be used for disordered 2D NPR structures [83][84][85].…”

Section: Expansion and Closurementioning

confidence: 97%

Mechanics of Advanced Materials

Silberschmidt¹,

Матвеенко²

2015

Engineering Materials

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“…Most of the developed theoretical models suggest materials with rather complex microstructures [20,21] that are too difficult for manufacturing and employing in real engineering environment. So far, there are only a few successful NPR materials [22] which can be produced easily.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of composite structure with in-plane isotropic negative Poisson’s ratio: Effects of materials properties and geometry features of inclusions

Hou

Silberschmidt

2014

Composites Part B: Engineering

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A novel composite structure with isotropic negative Poisson's ratio has been presented in our previous paper [1]. However, the previous study has only focused on the effects of random inclusions. In this work, an extended numerical study on the effects of materials properties and geometry features of inclusions is conducted in order to better understand the deformation mechanism and mechanical properties of this kind of composites. Using finite element method, the overall negative Poisson's ratio effects and mechanical properties of the composites are analyzed in terms of different factors including thickness and stiffness of inclusions with uniform and non-uniform struts. The structure optimization of the composites with better negative Poisson's ratio effect and mechanical performance are discussed based on the numerical calculated results. The study shows that the Poisson's ratio effects and mechanical properties of the composites are significantly affected by geometrical features, stiffness and boundary conditions of inclusions.

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Simulated optimisation of disordered structures with negative Poisson’s ratios

Cited by 36 publications

References 39 publications

Mechanics of disordered auxetic metamaterials

Mechanics of disordered auxetic metamaterials

Mechanics of Advanced Materials

Numerical analysis of composite structure with in-plane isotropic negative Poisson’s ratio: Effects of materials properties and geometry features of inclusions

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