Auxetic Cellular Materials - a Review

Novak, Nejc; Vesenjak, Matej

doi:10.5545/sv-jme.2016.3656

Cited by 208 publications

(136 citation statements)

References 76 publications

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“…Besides mechanical metamaterials (e.g., negative Poisson's ratio [2][3][4]) and optical metamaterials (e.g., negative index of refraction [5,6], a general review on photonic metamaterials is given in [7]). There are metamaterials that exhibit novel properties regarding their interaction with acoustic waves.…”

Section: Introductionmentioning

confidence: 99%

Evolution of full phononic band gaps in periodic cellular structures

Wormser¹,

Warmuth²,

Körner

2017

Appl. Phys. A

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Cellular materials not only show interesting static properties, but can also be used to manipulate dynamic mechanical waves. In this contribution, the existence of phononic band gaps in periodic cellular structures is experimentally shown via sonic transmission experiment. Cellular structures with varying numbers of cells are excited by piezoceramic actuators and the transmitted waves are measured by piezoceramic sensors. The minimum number of cells necessary to form a clear band gap is determined. A rotation of the cells does not have an influence on the formation of the gap, indicating a complete phononic band gap. The experimental results are in good agreement with the numerically obtained dispersion relation.

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Section: Introductionmentioning

confidence: 99%

Evolution of full phononic band gaps in periodic cellular structures

Wormser¹,

Warmuth²,

Körner

2017

Appl. Phys. A

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“…Based on the unit cell deformation mechanism, auxetic cellular structures can be classified into: 1) re‐entrant structures, where the diagonal ribs move in such a way that leads to auxetic effect in the other direction different from loading direction; 2) chiral structure, where the coupled deformation of node rotation and ligament bending gives rise to auxetic behavior; and 3) rigid (semi‐rigid) rotating structures, where auxetic behavior is obtained from the rotation of rigid polygons joined with each other through hinges, such as rotating squares, rotating rectangles, rotating parallelogram and rhombi, rotating triangles, and rotating tetrahedral . The node rotation of chiral structures will introduce additional parameters for tuning the mechanical properties of the chiral unit cell . Depending on the spatial relations between ligaments and nodes, structures with nodes on the opposite sides of the ligament are called chiral systems, while structures with nodes on the same side of the ligament are called anti‐chiral systems .…”

Section: Introductionmentioning

confidence: 99%

“…Based on kinematic deformation relations between the circular nodes and ligaments, Prall and Lakes investigated the in‐plane mechanical properties of 2D isotropic hexachiral lattice structure for the first time. Afterwards, Alderson et al studied the in‐plane elastic constants of 3‐, 4‐ and 6‐connected chiral and anti‐chiral honeycombs with similar deformation assumption. Making use of Castigliano's second theorem, Mousanezhad et al derived analytical expression for the in‐plane elastic modulus of trichiral, tetrachiral and anti‐tetrachiral structures, and compared the results from analytical formulas and finite element analysis.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Properties of 3D Isotropic Anti‐Tetrachiral Metastructure

Xia

Song

Sun

et al. 2017

Physica Status Solidi (b)

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Chiral metastructures consisting of ring (polygonal or cubic) nodes and elastic bending ligaments exhibit excellent design flexibility for compliant structures. In this paper, based on rigid cubic node rotation and the kinematic geometrical relations of a three-dimensional (3D) isotropic anti-tetrachiral structure, an analytical expression for the modulus of the 3D isotropic anti-tetrachiral structure is derived from strain energy analysis. The nylon powder Selected Laser Sintering (SLS) additive manufacturing technique is employed for fabricating two types of 3D isotropic anti-tetrachiral specimens with different geometrical parameters; then comparison between experiments, finite element analysis (FEA), and theoretical studies is performed for verifying the analytical formula. The mechanical properties of 3D isotropic anti-tetrachiral structures can be tuned with two independent dimensionless geometrical parameters. The proposed 3D anti-tetrachiral structures can be employed for designing advanced structures against impact damages, realizing flexibility of industrial components, and optimizing the vibration attenuation abilities of engineering structures.

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“…Two-dimensional models based on µCT images were established to investigate mechanical properties of different foam structures in [18] to [24]. An overview of the auxetic cellular materials was presented in [25].…”

Section: Introductionmentioning

confidence: 99%

Compressive Response Determination of Closed-Cell Aluminium Foam and Linear-Elastic Finite Element Simulation of μCT-Based Directly Reconstructed Geometrical Models

2018

SV-JME

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Metal foams have a lightweight cellular structure with excellent mechanical and physical properties. It is well known that metal foams have high compression strength combined with good energy absorption characteristics [1]. Therefore, the interest in these materials is widespread not only as a vibration damper or sound absorber but also as a load-bearing structural element. Numerous applications rely on the compressive property of metal foams, which directly depend on its structure. As a load-bearing structural element (e.g. vehicle part, biomedical implant) metal foam is expected to behave elastically under working circumstances, so the material response must be predicted precisely in the elastic region. Numerical determination of compressive properties of foam structure remains a demanding engineering task, and it is indispensable for design purposes.A number of studies have reported on measuring the material response of different types of metal foams in destructive ways. Geometrical modelling is an essential part of the procedure aiming the investigation of metal foam structures in a numerical way. Numerous approaches can be found in the literature for the proper description of foam structures, one of which is the usage of uniform cell models which results in simplified geometry compared with the actual structure. A combination of spherical and cruciform-shaped cells was used to model closed-cell aluminium foam and to simulate its material response in [11], while different uniform cell structures were applied to the model and simulate open cell metal foams in [12] to [14]. Diamond and cubic cell foam structure were also used to simulate the effect of cell shape on the mechanical behaviour of open cell metal foams in [15].Since the inner structure of different types of metal foams is quite complicated, a surface analysis can result in imperfect or false data. Recent studies proved X-ray computed tomography to be an efficient and powerful tool for mapping the complete structure • Calculations based on geometrical model precisely described the compressive response in the elastic region. Compressive Response Determination of Closed-Cell Aluminium Foam and Linear-Elastic Finite Element Simulation of µCT-Based Directly Reconstructed Geometrical Models

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Auxetic Cellular Materials - a Review

Cited by 208 publications

References 76 publications

Evolution of full phononic band gaps in periodic cellular structures

Evolution of full phononic band gaps in periodic cellular structures

Mechanical Properties of 3D Isotropic Anti‐Tetrachiral Metastructure

Compressive Response Determination of Closed-Cell Aluminium Foam and Linear-Elastic Finite Element Simulation of μCT-Based Directly Reconstructed Geometrical Models

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