Linear and non-linear in-plane behaviour of a modified re-entrant core cell

Tatlier, Mehmet Seha; Öztürk, Mitat; Baran, Tarık

doi:10.1016/j.engstruct.2021.111984

Cited by 29 publications

(11 citation statements)

References 54 publications

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“…It should be noted that this effect is not caused by the structural densification, but by the change of deformation mode of the substructure. In similar studies, this mechanism, i.e., using the change of structural deformation mode to improve the crushing strength, is not rare [24,57,68]. However, a considerable part of those structures has a second stress plateau, which is accompanied by a significant stress peak.…”

Section: Discussionmentioning

confidence: 96%

“…The mechanical properties can be conveniently assigned for the ordered auxetic structures through the adjustment of cell topologies and geometric parameters [21,22]. Therefore, considering the requirement of the problems in various engineering applications, an ongoing challenge for the auxetic materials is to explore more novel cell topologies with excellent properties and to explain the relationship between the unit cells and the macroscopic mechanical properties, which has attracted extensive attention from scholars [23][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

“…Re-entrant honeycomb, adapted from the traditional hexagonal honeycomb, is one of the most thoroughly studied auxetic materials owing to its straightforward NPR mechanisms and has occupied an important place in many engineering areas [35][36][37]. For its potential restrictions exposed in the applications, such as relatively low stiffness and strength, a series of cells have been developed to improve its performance [24,[38][39][40][41]. For instance, some scholars proposed to embed additional cell walls such as rhombic ligament [39], horizontal ligament [42] and vertical ligament [43] into the traditional RE cell.…”

Section: Introductionmentioning

confidence: 99%

“…Clarifying the relationship between the unit cell and the macroscopic mechanical properties is helpful for the engineering application of the auxetic structures [63][64][65][66]. In-plane elastic analytical expressions of the traditional or modified auxetic honeycombs have been widely discussed in the existing researches, in which the bending mechanism, or more other mechanisms, is considered to calculate the Young's modulus and Poisson's ratio [24,67]. Although the elastic properties are usually evaluated within a linear range, the deformations of auxetic honeycombs often involve nonlinear behaviors, such as plastic deformation and cell wall extrusion, considering that it is often used in applications requiring large deformation.…”

Section: Introductionmentioning

confidence: 99%

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Mechanical behaviors of a novel auxetic honeycomb characterized by re-entrant combined-wall hierarchical substructures

Zhou

Pan

Chen

et al. 2022

Mater. Res. Express

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The current focus of the metamaterials is to further improve their performance by the unit cell innovation, while for the auxetic metamaterials, the compromise between the mechanical properties and auxetic effect still needs more efforts. Given this issue, here we developed a novel auxetic honeycomb, named re-entrant combined-wall (RCW) honeycomb, by introducing four hierarchical substructures to the RE cell. Analytical expressions were derived and used to study the in-plane elastic constants of the RCW honeycomb, which were well confirmed by the established finite element model. Further, we investigated its crushing behaviors under large deformation by the explicit numerical method, and the quasi-static crushing experiments were also carried out by the 3D-printed specimens. Results show that the properties of the proposed RCW honeycomb have a high degree of orthogonality and tunability. Compared with the traditional RE honeycomb, the Young’s modulus of the RCW honeycomb in the y direction increases by more than 120%, and the Poisson’s ratio decreases by about 43%. Besides, behaviors of the cell wall contact induced by the adding substructure can lead to an interesting stress enhancement phenomenon under large deformation, which significantly increases its crushing strength, up to 140%, compared with the RE honeycomb. Therefore, the results in this work effectively demonstrate the improved mechanical properties and auxetic performance of the proposed RCW honeycomb. Besides, the adopted design strategy of hierarchical substructure also exhibits great potential for developing novel and excellent auxetic mechanical metamaterials.

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Section: Discussionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mechanical behaviors of a novel auxetic honeycomb characterized by re-entrant combined-wall hierarchical substructures

Zhou

Pan

Chen

et al. 2022

Mater. Res. Express

View full text Add to dashboard Cite

show abstract

“…Moreover, these structures would experience large deformations if used in engineering due to the insufficient predictions of linear models [25][26][27][28]. Tather et al [29] created a linear and nonlinear model of a hybrid reentrant and circular wall combined composite unit to achieve negative Poisson's ratio (NPR) and improved stiffness. The nonlinear behavior is in line with experiments in the literature.…”

Section: Introductionmentioning

confidence: 99%

In-plane elastic property prediction of straight-arc coupled auxetic structures

Zhang

Hao

et al. 2023

J. Phys. D: Appl. Phys.

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Auxetic metamaterials with two component exhibit widely potential engineering applications due to their exotic mechanical properties. In this work, a novel straight-arc coupled structure (SACS) is designed by introducing a circular arc structure to a classical re-entrant structure. This work aims to explore the linear and geometrical nonlinear mechanical of SACS at large strains. According to the Castigliano’s second theorem, the in-plane linear theoretical model is established to obtain equivalent Poisson's ratio and elastic modulus. A geometrical nonlinear model is further established based on large deflection theory and chain algorithm. The finite element method is used to verify the prediction of the theoretical solution, and linear and nonlinear mechanical properties of the SACS are studied by numerical simulation. The influence of geometric parameters re-entrant angle and arc radius on the mechanical properties of the SACS is investigated to compare the linear and nonlinear mechanical properties. The linear numerical simulation of straight-arc coupled structure with two transverse ribs (SACS-TR) and classical re-entrant honeycomb structure with two transverse ribs (CRS-TR) with the same dimension is carried out to analyze the in-plane elastic properties. These results demonstrate that considering the geometric nonlinear can predict the actual structural deformation more accurately, which is verified by the quasi-static compression experiment results at large strains. The straight-arc coupled structure design can enhance the auxetic effect and structure Young’s moduli under same dimension.

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In‐Plane Energy Absorption Properties of Novel Curved‐Ligaments Auxetic Cellular Structures with Dual‐Platform Performance

Liu,

Wang

2024

Physica Status Solidi (b)

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To improve the energy absorption capacity of honeycomb, four novel curved‐ligaments auxetic cellular structures (CLACS‐i [i = 1, 2, 3, 4]) based on the Diabolo‐shaped honeycomb (DSH) are introduced in this article. In the simulation results, it is demonstrated that the energy absorption performance of CLACS‐i (i = 1, 2, 3, 4) surpasses that of DSH under low‐, medium‐, and high‐velocity impacts. However, the negative Poisson's ratio effect of novel structures is inferior to that of DSH. With the increase in impact velocity, the inertial effect of the structure is enhanced, and the deformation mode of the structure changes from global deformation to local deformation. Furthermore, different impact velocities and geometric parameters also affect the energy absorption capacity of the structures. Platform stress and specific energy absorption (SEA) of CLACS‐i (i = 1, 2, 3, 4) increase with the increase of velocity. Under medium‐velocity impact loading, the platform stress and SEA of CLACS‐i (i = 1, 2, 3, 4) increase as the geometric parameter θ decreases and the wall thickness t increases. In this study, a reference is provided for the optimal design and application of honeycomb energy‐absorbing components.

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Linear and non-linear in-plane behaviour of a modified re-entrant core cell

Cited by 29 publications

References 54 publications

Mechanical behaviors of a novel auxetic honeycomb characterized by re-entrant combined-wall hierarchical substructures

Mechanical behaviors of a novel auxetic honeycomb characterized by re-entrant combined-wall hierarchical substructures

In-plane elastic property prediction of straight-arc coupled auxetic structures

In‐Plane Energy Absorption Properties of Novel Curved‐Ligaments Auxetic Cellular Structures with Dual‐Platform Performance

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