Negative Compressibility

Lim, Teik‐Cheng

doi:10.1007/978-981-15-6446-8_12

Cited by 5 publications

(6 citation statements)

References 26 publications

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“…Since their discovery, auxetics have been extensively studied both theoretically [ 14 , 15 , 16 , 17 , 18 ] by computer simulations [ 19 , 20 , 21 ] and experimentally [ 22 , 23 , 24 ]. Auxetic properties, i.e., the existence of negative PR in at least some crystallographic directions (such materials are called partial auxetics [ 25 ]), were reported not only in model structures [ 13 , 26 , 27 , 28 , 29 ], but also in real cubic materials [ 30 ], polymers [ 31 , 32 ], composites [ 33 ], and foams [ 34 , 35 ]. Today, novel structures [ 36 , 37 ], nanostructures [ 38 ], and metamaterials [ 39 , 40 , 41 ] with auxetic properties are being developed.…”

Section: Introductionmentioning

confidence: 99%

Removing Auxetic Properties in f.c.c. Hard Sphere Crystals by Orthogonal Nanochannels with Hard Spheres of Another Diameter

et al. 2022

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Negative Poisson’s ratio materials (called auxetics) reshape our centuries-long understanding of the elastic properties of materials. Their vast set of potential applications drives us to search for auxetic properties in real systems and to create new materials with those properties. One of the ways to achieve the latter is to modify the elastic properties of existing materials. Studying the impact of inclusions in a crystalline lattice on macroscopic elastic properties is one of such possibilities. This article presents computer studies of elastic properties of f.c.c. hard sphere crystals with structural modifications. The studies were performed with numerical methods, using Monte Carlo simulations. Inclusions take the form of periodic arrays of nanochannels filled by hard spheres of another diameter. The resulting system is made up of two types of particles that differ in size. Two different layouts of mutually orthogonal nanochannels are considered. It is shown that with careful choice of inclusions, not only can one impact elastic properties by eliminating auxetic properties while maintaining the effective cubic symmetry, but also one can control the anisotropy of the cubic system.

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Section: Introductionmentioning

confidence: 99%

Removing Auxetic Properties in f.c.c. Hard Sphere Crystals by Orthogonal Nanochannels with Hard Spheres of Another Diameter

et al. 2022

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“…Mechanical metamaterials are those materials/structures whose properties are determined not by their specific chemical constitution but by their larger scale structural/topological organization. Among metamaterials and materials with “negative” properties, 1 auxetic materials and structures are a subcategory that has been studied extensively to elucidate the underlying structure–property relationships that drive their mechanical response. 2,3 Specifically, auxetics possess a negative Poisson's ratio, 4 meaning that in the simplest case they show an expansion in at least one transverse direction when deformed in tension.…”

Section: Introductionmentioning

confidence: 99%

Towards textile metamaterials: a pathway to auxeticity and tensegrity in a needle-punched nonwoven stiff felt

et al. 2022

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“…Various repetitive structures composed of simple geometric shapes have been investigated extensively with the endeavour to enhance fundamental properties such as rigidity and flexibility [ 1 – 4 ]. While many rigid microstructures based on trusses have been developed from a mechanical viewpoint [ 5 , 6 ], flexible microstructures are expected to realize anomalous mechanical characteristics in solid matter, being distinctive in having, for example, non-positive values of Poisson’s ratio [ 7 – 11 ] or coefficient of thermal expansion [ 12 – 14 ].…”

Section: Introductionmentioning

confidence: 99%

Auxetic vibration behaviours of periodic tetrahedral units with a shared edge

2021

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A very low-frequency mode supported within an auxetic structure is presented. We propose a constrained periodic framework with corner-to-corner and edge-to-edge sharing of tetrahedra and develop a kinematic model incorporating two types of linear springs to calculate the momentum term under infinitesimal transformations. The modal analysis shows that the microstructure with its two degrees of freedom has both low- and high-frequency modes under auxetic transformations. The low-frequency mode approaches zero frequency when the corresponding spring constant tends to zero. With regard to coupled eigenmodes, the stress–strain relationship of the uniaxial forced vibration covers a wide range. When excited, a very slow motion is clearly observed along with a structural expansion for almost zero values of the linear elastic modulus.

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Negative Compressibility

Cited by 5 publications

References 26 publications

Removing Auxetic Properties in f.c.c. Hard Sphere Crystals by Orthogonal Nanochannels with Hard Spheres of Another Diameter

Removing Auxetic Properties in f.c.c. Hard Sphere Crystals by Orthogonal Nanochannels with Hard Spheres of Another Diameter

Towards textile metamaterials: a pathway to auxeticity and tensegrity in a needle-punched nonwoven stiff felt

Auxetic vibration behaviours of periodic tetrahedral units with a shared edge

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