Modeling of uniaxial compression in a 3D periodic re-entrant lattice structure

Yang, Li; Harrysson, Ola; West, Harvey; Cormier, Denis

doi:10.1007/s10853-012-6892-2

Cited by 125 publications

(63 citation statements)

References 29 publications

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“…Therefore, the design of the structure could be represented by the simplified 2D geometry shown in Figure 1(b), which includes the length of the vertical (H) and re-entrant (L) struts, the re-entrant angle θ, and the thickness (t) of the strut (not shown in the figure). Li et al [12] showed that compressive properties of this auxetic structure could be estimated as a function of design parameters H, L, θ, and t. …”

Section: Structural Designsmentioning

confidence: 99%

“…The Poisson's ratio values are expected to have a significant effect on the mechanical properties of the re-entrant auxetic structures. With greater negative Poisson's ratio values, the modulus and strength of the structures will also become greater [11,12]. In the current study, two configurations were designed for the re-entrant auxetic structure with significantly different Poisson's ratios, as shown in Table 1.…”

Section: Structural Designsmentioning

confidence: 99%

See 1 more Smart Citation

A Comparison of Bending Properties for Cellular Core Sandwich Panels

Yang¹,

Harrysson²,

West³

et al. 2013

MSA

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In this study, various sandwich panel structures with different reticulate lattice core geometries were designed and then fabricated in titanium via the electron beam melting (EBM) process. Bending tests were performed on the titanium samples, and mechanical properties such as modulus, bending strength, and energy absorption were evaluated. Different failure mechanisms were observed, and it was found that sandwich structures with auxetic cores exhibited more homogeneous deflection and bending compliance compared with other structures. It was also demonstrated that properties of auxetic sandwich structures can be tailored using different cell structure geometries to suit the needs of a given design application. Furthermore, it was found that other 3D cellular sandwich structures can also exhibit high stiffness and strength, which is desirable in potential applications.

show abstract

Section: Structural Designsmentioning

confidence: 99%

Section: Structural Designsmentioning

confidence: 99%

A Comparison of Bending Properties for Cellular Core Sandwich Panels

Yang¹,

Harrysson²,

West³

et al. 2013

MSA

Self Cite

View full text Add to dashboard Cite

show abstract

“…Much more difficult models of microstructures for the 3D auxetic materials have been proposed in Refs. . The use of more mathematically oriented methods such as homogenization methods for a numerical investigation of such types of materials and designing their microstructure is presented, e.g., in Refs.…”

Section: Introductionmentioning

confidence: 99%

The emergence of auxetic material as a result of optimal isotropic design

Czarnecki

Wawruch

2015

Physica Status Solidi (b)

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Using both mathematical and numerical methods, the optimal distributions of material characterized by the Young modulus and Poisson ratio (as well as other moduli of isotropy) maximizing the overall stiffness of an inhomogeneous isotropic elastic 3D body transmitting a given surface loading to a given support are constructed. The overall stiffness of the body is defined as the inverse of the work of external forces on displacements, called here the compliance of the structure. The isoperimetric condition bounds the integral of the trace of the Hooke tensor. It is proved that isotropic composite materials forming the bodies of extremely high stiffness exhibit negative Poisson ratio in large subdomains, which points at the significance of the auxetic material in modern structural design. The obtained results show that the whole range of possible variation of the Poisson ratio is used, from −1 to 1/2, which proves usefulness of the auxetic materials.

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“…[14] Many investigations have been conducted on the 2D re-entrant hexagonal configuration; for example, the mechanical modeling, [14][15][16][17][18] the enhanced design, [19][20][21][22] and the 3D extensions. [23][24][25][26] Other forms of re-entrant structures, such as the starshaped [27] and the double-head honeycombs, [28,29] were also well documented. Regarding rotation mechanism, there are two types of structures which can realize NPR by microstructural rotation: chiral geometry [30][31][32][33][34][35][36] and rotating rigid-units structure.…”

Section: Introductionmentioning

confidence: 99%

Auxeticity from the Folded Geometry: A Numerical Study

Chen

Zulifqar

2019

Physica Status Solidi (b)

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The folded geometry has successfully been transformed into auxetic woven fabric in the literature. However, the influences of the microgeometric parameters on the macroscopic behavior have not been addressed yet. Herein, several key microgeometric parameters for the folded geometry are identified and the mechanical behaviors of the folded structure are preliminarily studied using the finite element method. The results show that the folded structure can be unfolded in both longitudinal and transverse directions when stretched and thus achieve a negative Poisson's ratio. More interestingly, another fantastic property of tension–bending coupling effect is found in the folded structure and a competition exists between the auxeticity and the tension–bending coupling effect. This is the first time to report a structure that can stimulatingly have the auxeticity and the tension–bending coupling effect. Due to the unique properties, the folded geometry is very promising in some important fields; for example, the textiles, civil engineering, and auto industry. The present work may provide a good guide for the design and application of the folded structure.

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Modeling of uniaxial compression in a 3D periodic re-entrant lattice structure

Cited by 125 publications

References 29 publications

A Comparison of Bending Properties for Cellular Core Sandwich Panels

A Comparison of Bending Properties for Cellular Core Sandwich Panels

The emergence of auxetic material as a result of optimal isotropic design

Auxeticity from the Folded Geometry: A Numerical Study

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