The Multidirectional Auxeticity and Negative Linear Compressibility of a 3D Mechanical Metamaterial

Dudek, Krzysztof; Attard, Daphne; Gatt, Ruben; Grima‐Cornish, James N.

doi:10.3390/ma13092193

Cited by 30 publications

(22 citation statements)

References 69 publications

(84 reference statements)

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“…As shown in Figure 5a,b, the model can exhibit NLC only in one axial direction when θ 2 = 15° or 75°, but from Figure 7 we can find that NLC under the two cases can occur within a large angle range when the model is measured in a proper direction. Similarly, the off‐axis linear compressibility in the two vertical planes shown in the arrowhead‐like metamaterial [ 36 ] when θ > θ 0 and l a /l b = 1.1 ratio also has a large range of negative value, which means that the off‐axis compressibility can greatly enrich the range to achieve negative compressibility.…”

Section: Discussionmentioning

confidence: 99%

“…Finally, it should be emphasized that although the off‐axis linear compressibility in the OX 1 –OX 3 and OX 2 –OX 3 planes is not discussed, the arrowhead‐like metamaterial [ 36 ] can be regarded as a generalized octahedron model when θ > θ 0 and the discussion about the off‐axis linear compressibility for an arbitrary direction in these two planes can be seen as an important reference to study the off‐axis compressibility property of this monoclinic octahedron model.…”

Section: Analytical Modelmentioning

confidence: 99%

“…Arash Ghaedizadeh et al [ 1 ] designed two types of NLC composite structures, which proved that composite structures can be used to design NLC materials. Recently, Krzysztof K. Dudek et al [ 36 ] analyzed a 3D mechanical metamaterial composed of arrowhead‐like structural units, which showed that the model can exhibit auxetic behavior for a broad range of loading directions and manifest NLC for certain loading directions. It should be emphasized that this arrowhead‐like metamaterial can be regarded as another generalized octahedron model proposed previously [ 33 ] under the condition of θ > θ 0 .…”

Section: Introductionmentioning

confidence: 99%

“…In general, the symmetry degree of monoclinic system is lower than that of orthorhombic or tetragonal system. In view of this, in this article, we consider a new method to construct 3D models with negative compressibility by changing the system type of the existing models and propose the monoclinic octahedron model based on the tetragonal octahedron model studied previously, [ 33,36 ] which can be inferred to have stronger anisotropy and negative compressibility property. Specifically, the expressions of on‐axis mechanical properties and off‐axis compressibility of the monoclinic octahedron model are derived and discussed, which proves that the model does have NLC and NAC.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Negative Compressibility in the Monoclinic Octahedron Model Constructed by Hinging Wine‐Rack Mechanism

Zhou

Líu

et al. 2020

Physica Status Solidi (b)

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Enlightened by the concept of crystal system, many of the 3D models with negative compressibility that have been proposed so far are cellular models with periodic arrays, which can be called as orthogonal models or tetragonal models. Therefore, a more effective method to design 3D models with negative compressibility by changing the system type of the existing models can be developed. Herein, a monoclinic octahedron model based on the tetragonal octahedron model studied previously is proposed and its compressibility property is analyzed in detail through theoretical modeling. The specific conditions for the model to obtain negative compressibility are given in the discussion of on‐axis mechanical properties. The study about off‐axis compressibility shows that in addition to the geometric features, the measuring direction of compressibility and the arrangement of framework may also have a great influence on negative compressibility effect of the model.

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Section: Discussionmentioning

confidence: 99%

Section: Analytical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Negative Compressibility in the Monoclinic Octahedron Model Constructed by Hinging Wine‐Rack Mechanism

Zhou

Líu

et al. 2020

Physica Status Solidi (b)

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“…Mechanical metamaterials [ 1 , 2 , 3 ] are a class of rationally-designed systems that can exhibit counter-intuitive mechanical properties based on their design rather than material’s composition. Over the years, these systems have been thoroughly analysed from the point of view of their potential to exhibit unusual mechanical properties such as auxetic behaviour [ 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ], negative compressibility [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 ] and negative stiffness [ 21 , 22 , 23 , 24 , 25 , 26 ]. This large and continuously growing interest of the research community in the mechanical metamaterials stems from the fact that their unusual mechanical properties can be utilised in numerous applications ranging from biomedical [ 27 ] to soundproofing [ 28 , 29 ] and protective devices [ 30 , 31 , 32 , 33 ].…”

Section: Introductionmentioning

confidence: 99%

Controllable Hierarchical Mechanical Metamaterials Guided by the Hinge Design

et al. 2021

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In this work, we use computer simulations (Molecular Dynamics) to analyse the behaviour of a specific auxetic hierarchical mechanical metamaterial composed of square-like elements. We show that, depending on the design of hinges connecting structural elements, the system can exhibit a controllable behaviour where different hierarchical levels can deform to the desired extent. We also show that the use of different hinges within the same structure can enhance the control over its deformation and mechanical properties, whose results can be applied to other mechanical metamaterials. In addition, we analyse the effect of the size of the system as well as the variation in the stiffness of its hinges on the range of the exhibited auxetic behaviour (negative Poisson’s ratio). Finally, it is discussed that the concept presented in this work can be used amongst others in the design of highly efficient protective devices capable of adjusting their response to a specific application.

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Multiscale Strain Field Characterization in Flexible Planar Auxetic Metamaterials with Rotating Squares

et al. 2022

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Auxetic materials exhibit a negative Poisson's ratio when subjected to mechanical load. [1][2][3][4][5] For example, auxetic structures expand longitudinally and laterally when subjected to uniaxial tension instead of experiencing lateral contraction commonly seen in their conventional counterparts. Researchers have broadly considered the use of such materials and structures in many applications, including but not limited to biomechanics, flexible electronics, and soft robotics. [6][7][8][9] The growing interest in using auxetic structures in these applications is due to their improved mechanical properties, such as higher indentation resistance, improved vibration damping, resistance to shear, and enhanced fracture toughness, compared with their nonauxetic counterparts. [10][11][12][13] Auxetic structures are generally classified as a subset of "mechanical metamaterials" as their novel properties are not commonly found in nature or other conventional engineering materials. [3,14,15] The so-called mechanical metamaterials are highly influenced by the augmentation of their local morphology. Therefore, their physical properties can be controlled by certain microstructural and geometric features, thus allowing broader control of the behavior by design rather than the chemical composition of their constituent materials. [16,17] Property-adjustable auxetic materials with variable responses in changing environments have also been developed for various applications. [18][19][20][21][22][23] For instance, embedding magnetic insertions in auxetic metamaterials is shown to change the cellular configuration upon the application of a magnetic field, switching nonauxetic to an auxetic response. [24] Similar behaviors have been observed when a quadrilateral cellular structure consisting of bimaterial strips converts into a convex or concave shape with thermal triggers. [25] Researchers have explored various cell topologies that lead to auxetic behavior. [3,5,[26][27][28][29] The pioneering experimental studies in this field are credited to Lakes, who investigated auxetic foams. [30] In recent years and in line with the advancements in additive manufacturing, practical and cost-effective pathways to the realization of these architected structures have become more easily achievable. [31][32][33][34][35][36][37] Specifically, the fabrication of planar mechanical metamaterials with tunable properties has attracted great attention. For example, the cut and slit design strategy, wherein perforations are intentionally introduced into a sheet to promote auxeticity, has been explored in several studies. [35,38,39] These perforation patterns used to achieve auxetic behaviors include kagome lattices, [39] diamonds, [40] circles, [41] triangles, [42] ellipses, [43] stars, [31] self-similar squares, [44] and rectangles. [17,35,36] The auxetic response has also been achieved through randomly

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The Multidirectional Auxeticity and Negative Linear Compressibility of a 3D Mechanical Metamaterial

Cited by 30 publications

References 69 publications

Negative Compressibility in the Monoclinic Octahedron Model Constructed by Hinging Wine‐Rack Mechanism

Negative Compressibility in the Monoclinic Octahedron Model Constructed by Hinging Wine‐Rack Mechanism

Controllable Hierarchical Mechanical Metamaterials Guided by the Hinge Design

Multiscale Strain Field Characterization in Flexible Planar Auxetic Metamaterials with Rotating Squares

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