Numerical Analysis of Dynamic Properties of an Auxetic Structure with Rotating Squares with Holes (original) (raw)

Investigation of Modified Auxetic Structures from Rigid Rotating Squares

Materials

Auxetic structures exhibit unusual changes in size, expanding laterally upon stretching instead of contracting. This paper presents this effect in a failsafe mode in structures made of rigid squares. We applied the concept of auxetic structures made of rigid rotating squares (from Grima and Evans) and offer a novel solution for connecting them. By introducing axes of rotation on the surface of the squares, a reliable working system is obtained, free from stress, in which the squares can come into contact with each other and completely cover the surface of the structure, or, in the open position, form regularly arranged pores. Herein, we present a new 2D auxetic metamaterial that is mathematically generated based on a theoretical relationship of the angle between the edges of a square and the position of the axis of rotation. Physical models were generated in the form of a planar structure and in the form of a circular closed structure. Such physical models confirmed our initial cons...

Auxetic Structures from Rotating Squares

2022

The article deals with auxetic structures made on the basis of suitably connected rigid rotating squares (from Grima and Evans), with axes of rotation on the squares’ surface. The geometric model and the resulting relationships that allow for the determination of Poisson’s ratio are considered in detail. It is demonstrated that changing the rotation axis position does not affect the negative Poisson’s ratio, equal to -1. The models built confirm the initial considerations and can offer new application possibilities.

Evaluation of the Orthotropic Behavior in AN Auxetic Structure Based on a Novel Design Parameter of a Square Cell with Re-Entrant Struts

Polymers

In this research, a three-dimensional auxetic configuration based on a known re-entrant cell is proposed. The 3D auxetic cell is configured from a new design parameter that produces an internal rotation angle to its re-entrant elements to study elastic properties in its three orthogonal directions. Through a topological analysis using Timoshenko beam theory, the bending of its re-entrant struts is modeled as a function of the new design parameter to manipulate Poisson’s ratio and Young’s modulus. Experimental samples were fabricated using a fused filament fabrication system using ABS and subsequently tested under quasi-static compression and bending tests. Additionally, an orthotropy factor is applied that allows for measuring the deviation between the mechanical properties of each structure. The experimental results validate the theoretical design and show that this new unit cell can transmit an orthotropic mechanical behavior to the macrostructure. In addition, the proposed struct...

Investigation and Tailoring of Rotating Squaresand Rectangles Auxetic Structure Behavior through Computational Simulations of AA6082T6 Structures

Auxetic structures, renowned for their unique lateral expansion under longitudinal strain, have attracted significant research interest due to their extraordinary mechanical characteristics, such as enhanced toughness and shear resistance. This study provides a systematic exploration of these structures, constructed from rigid rotating square or rectangular unit cells. Incremental alterations were applied to key geometrical parameters, including the angle (θ) between connected units, the side length (a), the side width (b) of the rotating rigid unit, and the overlap distance (t). This resulted in a broad tunable range of negative Poisson's ratio values from-0.43 to-1.78. Through comprehensive three-dimensional finite element analyses, the intricate relationships between geometric variables and the resulting bulk Poisson's ratio of the modeled auxetic structure were elucidated. This analysis affirmed the auxetic behavior of all investigated samples, characterized by lateral expansion under tensile force. The study also revealed potential stress concentration points at interconnections between rotating units, which could impact the material's performance under high load conditions. A detailed investigation of various geometrical parameters yielded fifty unique samples, enabling in-depth observation of the impacts of geometric modifications on the overall behavior of the structures. Notably, an increase in the side width significantly enhanced the Poisson's ratio, while an increase in the overlap distance notably reduced it. The greatest observable change in Poisson's ratio was a remarkable 202.8%, emphasizing the profound influence of geometric parameter manipulation. A cascaded forward-backpropagation neural network model was deployed to determine the Poisson ratio for auxetic structures, based on the geometric parameters and material properties of the structure. The model's architecture consisted of five layers with varying numbers of neurons. The model's validity was affirmed by comparing its predictions with FEA simulations, with the maximum error observed in the predicted Poisson's ratio being 8.62%.

Investigating Effects of Geometrical Parameters of Arrowhead Shaped Auxetic Structure on Negative Poisson’s Ratio

2021

1M. Tech-Mechanical Engineering (Design) Student, Vishwakarma Institute of Technology, Pune, India. 2Professor, Department of Mechanical Engineering, Vishwakarma Institute of Technology, Pune, India. -------------------------------------------------------------------------***-----------------------------------------------------------------Abstract – Auxetic structures are class of nonconventional structures having negative Poisson’s ratio. They expand laterally when axially stretched and laterally contract when axially compressed which is different from conventional structures. Light weight, high strength, impact damping capabilities and stiffness offers potential applications in the field of aerospace, automobile, military protection equipment, textile, suspension mount. Although different auxetic structures are studied and analyzed because of their strength to weight ratio and negative Poisson’s ratio, there is need of development of new structures to improve these properties. The...

Investigation of the Auxetic of a novel geometric structure and improvement of Poisson’s ratio at different inner thicknesses

Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım ve Teknoloji

Poisson’s ratio, one of the important mechanical properties of materials and structures, is positive for almost all of the known materials and structures. However, auxetic materials or structures has negative Poisson’s ratios. Characteristics of the auxetic structures are very important to be used in design of a new structure. Computational or experimental studies on auxetic structures have been increasing in literature. In this study, a new auxetic lattice structure with different Poisson’s ratios was designed and studied by finite element analysis. Mechanical properties of the newly designed auxetic lattice structures were analyzed with different lattice inner thickness. Results showed that change in inner thickness affects the Poisson’s ratio, mass, volume and surface area of the newly designed Auxetic lattice structures.

Cellular plates with auxetic rectangular perforations

physica status solidi (b), 2015

The work describes a cellular structure configuration with a rectangular perforation topology exhibiting auxetic (negative Poisson's ratio) in-plane behaviour. The rectangular voids used in this structure produce a rigid rotating squares effect. Changes in the sizing parameters of aspect ratio, intercell spacing, and number of unit cells are made through non-dimensional modeling. The effects on the key properties of in-plane Poisson's ratio, Young's modulus and shear modulus are investigated. Through numerical modeling and experimental testing the auxetic behaviour is confirmed, with increased negative Poisson's ratio values in comparison to rhomboidal patterns of perforations available in open literature

Mechanical Properties of Auxetic Cellular Material Consisting of Re-Entrant Hexagonal Honeycombs

Materials, 2016

A preliminary study of the mechanical properties of auxetic cellular material consisting of re-entrant hexagonal honeycombs is presented. For different scales of the honeycombs, the finite element method (FEM) and experimental models are used to perform a parametric analysis on the effects of the Poisson's ratio (cell angle) and the relative density (cell thickness) of honeycombs on bearing capacity and dynamic performance of the auxetic material. The analysis demonstrates that the ultimate bearing capacity of the presented auxetic cellular material is scale-independent when the Poisson's ratio and the relative density are kept constant. The relationship between the geometric parameters and vibration level difference of the honeycombs is also revealed, which can be divided into two converse parts around the Poisson's ratio v = −1.5. When v is smaller than −1.5, increasing the cell thickness leads to an increase in the vibration level difference of the honeycombs. Moreover, the dynamic performance of thin-walled honeycombs is greatly influenced by the scale of the honeycombs, especially for the ones with small Poisson's ratio. These conclusions are verified by a frequency response test and a good agreement between the numerical results and experimental data is achieved.