The influence of large deformations on mechanical properties of sinusoidal ligament structures

Self Cite

The contact problem between two bodies: plate and semi‐cylindrical bar is studied in this paper. The analysis concerns the contact pressure distribution along the contact region, as well as the deflection of the plate. Furthermore, the case of a composite plate covered with the auxetic layer is also considered. The influence of the Poisson's ratio of the layer on the behavior of the plate is studied. The contact pressure distribution along the contact area is analyzed using finite element analysis.

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of the Influence of the Covering Auxetic Layer of Plate on the Contact Pressure

Stręk

Matuszewska

Jopek

2017

Self Cite

“…However, most 2D cellular structures that exhibit negative Poisson's ratio were due to the cells with inverted bow‐tie shape. A variety of auxetic topologies have been developed and presented recently by researchers, such as anti‐chiral structure, sinusoidal ligament structures, etc . Negative Poisson's ratio behavior has been observed experimentally in polymer gels near their phase transitions, in orthorhombic alloy in a set of planes, and in ferroelastic ceramic near a temperature dependent phase transformation and in InSn alloy near a composition dependent morphotropic phase transformation.…”

Section: Introductionmentioning

confidence: 99%

“…A variety of auxetic topologies have been developed and presented recently by researchers, such as anti-chiral structure, sinusoidal ligament structures, etc. [17][18][19] Negative Poisson's ratio behavior has been observed experimentally in polymer gels near their phase transitions, [20,21] in orthorhombic alloy in a set of planes, [22] and in ferroelastic ceramic [23] near a temperature dependent phase transformation and in InSn alloy [24] near a composition dependent morphotropic phase transformation. Strongly negative Poisson's ratio behavior near a phase transition has also been observed in computer simulations in the hard cyclic hexamer model.…”

Section: Introductionmentioning

confidence: 99%

Three‐Dimensional Stiff Cellular Structures With Negative Poisson's Ratio

Liu

Lakes

2017

In this paper, a novel three‐dimensional (3D) cellular structure with negative Poisson's ratio was designed by alternating cuboid surface indents on the vertical ribs of the unit cells. The Poisson's ratio and Young's modulus of structures with different geometric parameters were determined using the finite element method (FEM) as a function of these parameters. Samples with identical geometric variables were fabricated via 3D printing, and their through‐thickness direction Poisson's ratios were measured and compared with simulation results. Results showed that the Poisson's ratio of the 3D cellular structures can be tuned from positive to negative and can reach a minimal value of −0.958. Good agreement was found between the experimental results and the simulation. This lattice structure is considerably stiffer than re‐entrant negative Poisson's ratio foam with the same solid phase. The design concept developed here can be optimized for specific applications via geometric parameters manipulation.

“…The mechanical properties of curved (sinusoidal) ligaments of auxetic structures under large deformations have been studied by Strek et al For each of the four structures considered, the impact of the deformation size and the geometrical parameters on the effective mechanical properties of the structures shape have been evaluated. Some of these configurations provide an auxetic behavior when compressed, and a non‐auxetic one when stretched.…”

Section: Introductionmentioning

confidence: 99%

The Elastic Uniaxial Properties of a Center Symmetric Honeycomb with Curved Cell Walls: Effect of Density and Curvature

Harkati

Daoudi

Abaidia

et al. 2017

We propose in this paper analytical and numerical models that describe the in‐plane uniaxial elastic properties (Young's moduli and Poisson's ratios) of a honeycomb structure with curved walls. We perform a parametric analysis of the mechanical performance of this honeycomb also by taking into account the different types of deformations acting inside the cell walls. The curved wall honeycomb possesses higher magnitudes of the Poisson's ratio ν12 in the auxetic configuration compared to classical center symmetric configuration with straight cell wall. The presence of the curvature also allows creating configurations with positive Poisson's ratio even for negative internal cell angles, and makes this honeycomb design attractive for mechanical tailoring.