On the auxetic properties of generic rotating rigid triangles

Grima, Joseph N.; Chetcuti, Elaine; Manicaro, Elaine; Attard, Daphne; Camilleri, Mark Anthony; Gatt, Ruben; Evans, K.

doi:10.1098/rspa.2011.0273

Cited by 96 publications

(83 citation statements)

References 56 publications

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“…[24] 3) Rotating polygons À In these type of structures, auxetic behavior is obtained from the rotation of rigid polygons [25] joined with each other through hinges. Some of the examples include rotating squares, [26] rotating rectangles, [27] rotating parallelogram and rhombi, [28] rotating triangles, [29][30][31] and rotating tetrahedral. [32] Based on the inspiration from the rotating rigid units model, auxetic behavior was demonstrated in sheets with diamond-or star-shaped perforations.…”

Section: Perforated Sheetsmentioning

confidence: 99%

Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review

2016

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Material properties can be tailored through modification of their geometry or architecture. With this concept, a lot of smart materials, metamaterials, and smart structures have been developed. Auxetic materials and structures are a novel class of materials which exhibit an interesting property of negative Poisson's ratio. By virtue of the auxetic behavior, mechanical properties such as fracture toughness, indentation resistance, etc., can be improved. In order to exploit the interesting properties of auxetic materials, several potential applications of auxetic materials have been explored in medical, sports, automobile, defense, etc. Design and modeling of novel auxetic materials and structures is still on the way. Here, the article focuses upon the different aspects of auxetic materials and structures. A comprehensive updated review of auxetic materials, their types and properties, and applications has been presented. This paper also discusses the design and modeling approaches of auxetic structures.

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Section: Perforated Sheetsmentioning

confidence: 99%

Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review

2016

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“…As θ varies, the areas of all of the unit cells expand or contract together. Some auxetic patterns couple a global shearing with this expansion [25]. For these shearing auxetic materials, the area of the unit cell increases as the unit cell itself shears.…”

Section: B Handed Shearing Auxeticsmentioning

confidence: 99%

Compliant electric actuators based on handed shearing auxetics

Chin

Lipton

MacCurdy

et al. 2018

2018 IEEE International Conference on Soft Robotics (RoboSoft)

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Abstract-In this paper, we explore a new class of electric motor-driven compliant actuators based on handed shearing auxetic cylinders. This technique combines the benefits of compliant bodies from soft robotic actuators with the simplicity of direct coupling to electric motors. We demonstrate the effectiveness of this technique by creating linear actuators, a four degree-of-freedom robotic platform, and a soft robotic gripper. We compare the soft robotic gripper against a state of the art pneumatic soft gripper, finding similar grasping performance in a significantly smaller and more energy-efficient package.

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“…without constraint symmetry), namely the (3.6.3.6) called the trihexagonal tessellation or kagome structure, already discussed in earlier studies [42][43][44][45][46]. Kapko et al [43] have noted that the number of collapse mechanisms grows with the size of the unit cell and have also considered crystallographic symmetry constraints for the deformation of this tessellation.…”

Section: Resultsmentioning

confidence: 99%

Finite auxetic deformations of plane tessellations

et al. 2013

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We systematically analyse the mechanical deformation behaviour, in particular Poisson's ratio, of floppy barand-joint frameworks based on periodic tessellations of the plane. For frameworks with more than one deformation mode, crystallographic symmetry constraints or minimization of an angular vertex energy functional are used to lift this ambiguity. Our analysis allows for systematic searches for auxetic mechanisms in archives of tessellations; applied to the class of one-or two-uniform tessellations by regular or star polygons, we find two auxetic structures of hexagonal symmetry and demonstrate that several other tessellations become auxetic when retaining symmetries during the deformation, in some cases with large negative Poisson ratios ν < −1 for a specific lattice direction. We often find a transition to negative Poisson ratios at finite deformations for several tessellations, even if the undeformed tessellation is infinitesimally non-auxetic. Our numerical scheme is based on a solution of the quadratic equations enforcing constant edge lengths by a Newton method, with periodicity enforced by boundary conditions.

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On the auxetic properties of generic rotating rigid triangles

Cited by 96 publications

References 56 publications

Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review

Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review

Compliant electric actuators based on handed shearing auxetics

Finite auxetic deformations of plane tessellations

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