Negative Poisson's Ratio Behavior Induced by an Elastic Instability

By Katia Bertoldi, P. Reis, Stephen Willshaw, Tom Mullin. Advances in Materials, 2010

890 citations recorded by the source corpus.

Negative Poisson's ratio behavior has been uncovered in cellular solids that comprise a solid matrix with a square array of circular voids. The simplicity of the fabrication implies robust behavior, which is relevant over a range of scales. The behavior results from an elastic instability, which induces a pattern transformation and excellent quantitative agreement is found between calculation and experiment.

Subfields: Materials Chemistry, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/2c7b62ac9e6b2d6139a0603a1e3ea78827dd5108

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Citations in the corpus

Mechanical properties of 3D printed polymeric cellular materials with triply periodic minimal surface architectures (2017, methodology): “[24] utilized elastic instabilities of periodic cellular materials to create 2D materials with negative Poisson's”
Review of Auxetic Materials for Sports Applications: Expanding Options in Comfort and Protection (2018, neutral): “Auxetic behaviour induced by elastic instability includes systems consisting of 2D tessellation of elliptical [113] and other shape [114,115] voids and 3D tessellations of holes [116].”
Relating pore shape to the non-linear response of periodic elastomeric structures (2014, background): “…has been recently shown that the pore arrangement (Triantafyllidis et al., 2006; Michel et al., 2007; Shim et al., 2013), the porosity of the solid (Bertoldi et al., 2010) and the loading conditions (Michel et al., 2007) have a strong effect on the stability of the system, the goal of this work is…”
Mechanical metamaterials associated with stiffness, rigidity and compressibility: a brief review (2017, methodology): “16A(d) [81]), instead of the completely regular pattern in the initial holey sheet [26,78,81].”
Mechanical properties of 3D re-entrant honeycomb auxetic structures realized via additive manufacturing (2015, methodology): “In many studies, finite element analysis (FEA) was utilized to provide predictions on the auxetic behavior and other mechanical properties (Alderson et al., 2005; Bertoldi et al., 2009; Herakovich, 1984; Lee et al., 1996; Lira et al., 2009; Salit and Weller, 2009; Scarpa et al., 2000, 2004b; Smith e”
Auxetic metamaterials and structures: a review (2018, background): “include but not limited to prostheses [35], auxetic textiles [36–41], smart sensors [42–44], indentation and fatigue resistance [45–48], smart filters [28, 49], magnetic auxetic system [50, 51], molecular sieves [52], seat cushions [53], superior vibration dampers [54] and acoustic isolators [55].”
Auxetic mechanical metamaterials (2017, positive): “68,70,71,83 The latter shows that even though the material in-between the perforations is increased, auxeticity can be enhanced when pursuing another buckling pattern.”
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis (2018, background): “This has resulted in a multitude of exotic materials which offer desirable properties ranging from low density with high strength, stiffness and recoverability [1, 2, 3] to excellent shock absorption capabilities [4, 5], wave-guiding [6], and materials which harness localized instability mechanisms ”
A simple auxetic tubular structure with tuneable mechanical properties (2016, methodology): “Similar to the geometry configuration of the Bertoldi’s work [24], a planar sheet is shown in figure 1(a) with a void fraction of 0.”