On the transverse shear modulus of negative Poisson’s ratio honeycomb structures

By Fabrizio Scarpa, P. Tomlin. 2000

233 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f2a339d913f1d1f339b62001f7c8e3520789c833

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In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Elasticity of anti-tetrachiral anisotropic lattices (2013, background): “…higher polynomial order approximation of the dependency of the transverse shear vs. the depth ratio, compared to the simple inverse proportion existing in isotropic chiral configurations (Lorato et al., 2010), and centresymmetric hexagonal honeycomb layouts (Grediac, 1993; Scarpa and Tomlin, 2000).”
In-plane elasticity of a novel auxetic honeycomb design (2017, background): “A variety of honeycomb configurations achieving positive/negative/zero Poisson’s ratio have been proposed and investigated with special focus on the in-plane mechanics, flatwise compressive strength and the transverse shear modulus [9-25].”
Mechanical properties of 3D re-entrant honeycomb auxetic structures realized via additive manufacturing (2015, background): “In addition, there has generally been a lack of agreement between the experimental results and the theory, which was largely caused by the stochastic nature of the auxetic foams used in the experimentation (Alderson et al., 2005; Bezazi and Scarpa, 2007, 2009; Bianchi et al., 2008; Herakovich, 1984;”
Auxetic mechanical metamaterials (2017, unknown): “54 The e ﬀ ect of density variations on the in-plane Poisson's ratios and Young's moduli of conventional and re-entrant honeycombs was studied by Whitty et al. (2002).”
Auxetic materials and their potential applications in textiles (2014, background): “However, the shear modulus of auxetic foams is higher than conventional foams.(22,83) This property can be explained by the relations among shear modulus G, Poisson’s ratio n, Young’s modulus E and bulk modulus K.”
The transverse elastic properties of chiral honeycombs (2010, methodology): “A unique value for the transverse shear modulus depending on the gauge thickness can be calculated using an approach similar to the one of Grediac [26] and refined for auxetic centresymmetric configurations by Scarpa and Tomlin [27].”
Passive and MR Fluid-coated Auxetic PU Foam – Mechanical, Acoustic, and Electromagnetic Properties (2004, background): “bending stiffness and shear resistance in structural elements (Lakes, 1993; Scarpa and Tomlin, 2000), and”
A Gradient Cellular Core for Aeroengine Fan Blades Based on Auxetic Configurations (2011, background): “…is a unique value for the G13 modulus (Gibson and Ashby, 1997; Kelsey et al., 1958), while the G23 is limited between Voigt and Reuss bounds, with a unique value resolved by the effect provided from the throughthe-thickness bending on the honeycomb walls (Grediac, 1993; Scarpa and Tomlin, 2000).”
Zero Poisson’s ratio cellular structure for two-dimensional morphing applications (2015, unknown): “Exact calculations are only possible by using numerical methods [11, 16, 21, 34, 35].”