Switching between two types of auxetic behavior of two-dimensional periodic cells with square rotation

Tanaka, Hiro; Nakanishi, Tofu; Shibutani, Yoji

doi:10.1002/pssb.201552572

Cited by 9 publications

(7 citation statements)

References 52 publications

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“…For example, an array of rotating rigid units can induce auxetic behavior, and this is one of the fundamental auxetic mechanisms according to some background on geometry3031323334353637. Many auxetic cellular and laminated composite solids can be designed from considerations of geometry and rotation3738394041424344.…”

mentioning

confidence: 99%

Orthotropic Laminated Open-cell Frameworks Retaining Strong Auxeticity under Large Uniaxial Loading

Tanaka

Suga

Iwata

et al. 2017

Sci Rep

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Anisotropic materials form inside living tissue and are widely applied in engineered structures, where sophisticated structural and functional design principles are essential to employing these materials. This paper presents a candidate laminated open-cell framework, which is an anisotropic material that shows remarkable mechanical performance. Using additive manufacturing, artificial frameworks are fabricated by lamination of in-plane orthotropic microstructures made of elbowed beam and column members; this fabricated structure features orthogonal anisotropy in three-dimensional space. Uniaxial loading tests reveal strong auxeticity (high negative Poisson’s ratios) in the out-of-plane direction, which is retained reproducibly up to the nonlinear elastic region, and is equal under tensile and compressive loading. Finite element simulations support the observed auxetic behaviors for a unit cell in the periodic framework, which preserve the theoretical elastic properties of an orthogonal solid. These findings open the possibility of conceptual materials design based on geometry.

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confidence: 99%

Orthotropic Laminated Open-cell Frameworks Retaining Strong Auxeticity under Large Uniaxial Loading

Tanaka

Suga

Iwata

et al. 2017

Sci Rep

Self Cite

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“…We further extend this structure to create a periodic structure by joining and inserting linear springs between adjacent unit cells. Finite-element analyses demonstrated that the periodic structure also has a similar transition mechanism [ 56 ]. In this instance, the deflection of each cell plays a major role in the transition from one motion to another.…”

Section: Introductionmentioning

confidence: 99%

Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness

2018

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A specific periodic bar-and-joint framework with limited degrees of freedom is shown to have a transition mechanism when subjected to an external force. The static nonlinear elasticity of this framework under a uniaxial load is modelled with the two angular variables specifying the rotation and distortion of the linked square components. Numerically exploring the equilibrium paths then reveals a transition state of the structure at a critical value of the internal stiffness. A simplified formulation of the model with weak nonlinear terms yields an exact solution of its transition state. Load–displacement behaviour and stability for the two systems with or without approximation are analysed and compared.

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“…Many investigations suggest that the auxetic behavior involves rotational deformation of the unit cells in auxetic structures. [22,[57][58][59][60] Thus, the essence of our work is to design the internal structure with such rotational deformation characteristics. Some holes were set in the model to allow the rotation of internal units of the material during deformation.…”

Section: Psf Methodsmentioning

confidence: 99%

A Simple Methodology to Generate Metamaterials and Structures with Negative Poisson's Ratio

Zhang

Ren

2020

Physica Status Solidi (b)

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Buckling is one type of unstable structural response which has been known for centuries. Although buckling is generally regarded as a type of undesirable phenomenon, many investigations reported that it can be utilized to generate buckling-induced metamaterials and structures with negative Poisson's ratio. Recent studies demonstrate that buckling-induced auxetic behavior will disappear when the base material is changed from elastomer to metal. A pattern scale factor (PSF) method to recover auxeticity of metallic metamaterials and structures was mentioned in previous studies, but the method has not been specifically introduced. Herein, a more detailed introduction of the PSF method is made and some successful case studies are presented.

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Switching between two types of auxetic behavior of two-dimensional periodic cells with square rotation

Cited by 9 publications

References 52 publications

Orthotropic Laminated Open-cell Frameworks Retaining Strong Auxeticity under Large Uniaxial Loading

Orthotropic Laminated Open-cell Frameworks Retaining Strong Auxeticity under Large Uniaxial Loading

Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness

A Simple Methodology to Generate Metamaterials and Structures with Negative Poisson's Ratio

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