Elastic constants of 3-, 4- and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading

By A. Alderson, K. Alderson, D. Attard, Kenneth E. Evans, R. Gatt, Joseph N. Grima, W. Miller, N. Ravirala, Christopher W. Smith, K. Zied. 2010

637 citations recorded by the source corpus.

Finite Element models are developed for the in-plane linear elastic constants of a family of honeycombs comprising arrays of cylinders connected by ligaments. Honeycombs having cylinders with 3, 4 and 6 ligaments attached to them are considered, with two possible configurations explored for each of the 3- (trichiral and anti-trichiral) and 4- (tetrachiral and anti-tetrachiral) connected systems. Honeycombs for each configuration have been manufactured using rapid prototyping and subsequently characterised for mechanical properties through in-plane uniaxial loading to verify the models. An interesting consequence of the family of 'chiral' honeycombs presented here is the ability to produce negative Poisson's ratio (auxetic) response. The deformation mechanisms responsible for auxetic functionality in such honeycombs are discussed.

Subfields: Mechanical Engineering, Polymers and Plastics, Pulmonary and Respiratory Medicine

View Paper: https://www.semanticscholar.org/paper/02c087084edd9687a13b2276c3dedafc43528906

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In Mechanical Engineering

In Polymers and Plastics

In Pulmonary and Respiratory Medicine

Citations in the corpus

The in-plane linear elastic constants and out-of-plane bending of 3-coordinated ligament and cylinder-ligament honeycombs (2010, background): “Four dimensionless parameters are defined: α = L1/r, β = t/r, γ = d/r [11] and δ = L2/L1.”
Compressive properties of 3D printed auxetic structures: experimental and numerical studies (2020, background): “A discrepancybetween the experimental and FE Poisson’s ratio of the chiral honeycombs has been noticed due to a kink in the data of the experimental lateral strain (Alderson et al. 2010).”
Auxetic Materials for Sports Applications (2014, neutral): “4a (Alderson et al. (2010b)).”
Mechanical metamaterials associated with stiffness, rigidity and compressibility: a brief review (2017, background): “This is distinguished from the conventional two-dimensional honeycomb or inverted honeycomb where three linkages meet a point [30,141].”
Auxetic mechanical metamaterials (2017, background): “Both chiral and anti-chiral honeycombs displayed a Poisson's ratios close to 1 according to Alderson et al. (2010),98 whereas the tetrachiral honeycomb was found to be non-auxetic by Mousanezhad et al. (2016).103 The anti-tetrachiral honeycomb, however, simultaneously exhibited anisotropy,…”
Elasticity of anti-tetrachiral anisotropic lattices (2013, background): “Moreover, the anti-tetrachiral configuration shows a stable in-plane negative Poisson’s ratio ( 1 (Alderson et al., 2010a)), and it is not subjected to global coupling of uniaxial compression and in-plane rotation of the specimen when loaded, making it therefore a structure exhibiting a more…”
Auxetic mechanical metamaterials: from soft to stiff (2023, methodology): “In their study, anti-trichiral honeycomb with a short ligament showed NPR, whereas trichiral honeycomb showed a positive Poisson’s ratio [123].”
Chiral effect in plane isotropic micropolar elasticity and its application to chiral lattices (2012, background): “Its unique mechanical behavior was examined by many researchers for both static (Alderson et al, 2010; Dirrenberger et al, 2011; Spadoni and Ruzzene, 2012) and dynamic (Spadoni et al, 2009) loading cases with a number of targeted applications.”