Negative linear compressibility of hexagonal honeycombs and related systems

Grima, Joseph N.; Attard, Daphne; Caruana‐Gauci, Roberto; Gatt, Ruben

doi:10.1016/j.scriptamat.2011.06.011

Cited by 113 publications

(143 citation statements)

References 17 publications

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“…In fact, for physically realizable structures where h + 2l sin(θ ) > 0 and hence h/l = λ > −2 sin(θ ) for the range of angles θ min < θ < 90 λ+sin(θ) of equation (18). However it may easily be shown that…”

Section: Resultsmentioning

confidence: 98%

Smart hexagonal truss systems exhibiting negative compressibility through constrained angle stretching

Grima

Caruana‐Gauci

Wojciechowski

et al. 2013

Smart Mater. Struct.

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Negative compressibility is the ability to expand in at least one dimension rather than shrinking upon the application of an externally applied hydrostatic pressure. It is shown that, contrary to current perception, negative linear compressibility may be obtained from re-entrant hexagonal truss systems of specific geometric features which deform through non-equal changes in the lengths of the cell walls when deforming through a constrained angle stretching rather than other modes of deformation (such as flexure or hinging, modes of deformation that also lead to auxetic behaviour in honeycombs). Negative compressibility is predicted in the vertical direction for particular re-entrant geometries of this smart hexagonal truss system when the vertical ribs are much stiffer than the inclined ribs.

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Section: Resultsmentioning

confidence: 98%

Smart hexagonal truss systems exhibiting negative compressibility through constrained angle stretching

Grima

Caruana‐Gauci

Wojciechowski

et al. 2013

Smart Mater. Struct.

Self Cite

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“…It was recently highlighted that a two-dimensional system having a honeycomb or wine rack structure may exhibit negative linear compressibility as a consequence of having very high positive Poisson's ratios in certain directions (Grima et al 2011). Although this work is of significant importance in view of the particular applications where negative compressibility materials can be used (Baughman et al 1998b), it is limited by the fact that being a two-dimensional system, it is not possible to achieve negative area compressibility, something that may obviously be more useful than negative linear compressibility.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional cellular structures with negative Poisson's ratio and negative compressibility properties

et al. 2012

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A three-dimensional cellular system that may be made to exhibit some very unusual but highly useful mechanical properties, including negative Poisson's ratio (auxetic), zero Poisson's ratio, negative linear and negative area compressibility, is proposed and discussed. It is shown that such behaviour is scale-independent and may be obtained from particular conformations of this highly versatile system. This model may be used to explain the auxetic behaviour in auxetic foams and in other related cellular systems; such materials are widely known for their superior performance in various practical applications. It may also be used as a blueprint for the design and manufacture of new man-made multifunctional systems, including auxetic and negative compressibility systems, which can be made to have tailor-made mechanical properties.

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“…Recently NLC has been proved to be a property of hexagonal honeycombs with aspect ratio not equal to one (Grima et al, 2011). …”

Section: Introductionmentioning

confidence: 99%

Modelling negative linear compressibility in tetragonal beam structures

Barnes

Miller

Evans

et al. 2012

Mechanics of Materials

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Most materials compress axially in all directions when loaded hydrostatically. Contrary to this, some materials have been discovered that exhibit negative linear compressibility and, as such, expand along a specific axis or plane. This paper analyses a fundamental mechanism by using a combination of finite element simulations and analytical derivations to show that negative linear compressibility can be found in a body-centred or face-centred tetragonal network of nodes connected by a network of beams. The magnitude and direction of this behaviour depends on the cross geometry in the network.

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Negative linear compressibility of hexagonal honeycombs and related systems

Cited by 113 publications

References 17 publications

Smart hexagonal truss systems exhibiting negative compressibility through constrained angle stretching

Smart hexagonal truss systems exhibiting negative compressibility through constrained angle stretching

Three-dimensional cellular structures with negative Poisson's ratio and negative compressibility properties

Modelling negative linear compressibility in tetragonal beam structures

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