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Curvature Induced by Deflection in Thick Meta‐Plates

Abstract : The design of advanced functional devices often requires the use of intrinsically curved geometries that belong to the realm of non-Euclidean geometry and remain a challenge for traditional engineering approaches. Here, it is shown how the simple deflection of thick meta-plates based on hexagonal cellular mesostructures can be used to achieve a wide range of intrinsic (i.e., Gaussian) curvatures, including dome-like and saddle-like shapes. Depending on the unit cell structure, non-auxetic (i.e., positive Poisson ratio) or auxetic (i.e., negative Poisson ratio) plates can be obtained, leading to a negative or positive value of the Gaussian curvature upon bending, respectively. It is found that bending such meta-plates along their longitudinal direction induces a curvature along their transverse direction. Experimentally and numerically, it is shown how the amplitude of this induced curvature is related to the longitudinal bending and the geometry of the meta-plate. The approach proposed here constitutes a general route for the rational design of advanced functional devices with intrinsically curved geometries. To demonstrate the merits of this approach, a scaling relationship is presented, and its validity is demonstrated by applying it to 3D-printed microscale meta-plates. Several applications for adaptive optical devices with adjustable focal length and soft wearable robotics are presented.
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Submitted on : Tuesday, June 15, 2021 - 3:16:38 PM
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Mohammad Mirzaali, Aref Ghorbani, Kenichi Nakatani, Mahdiyeh Nouri‐goushki, Nazli Tümer, et al.. Curvature Induced by Deflection in Thick Meta‐Plates. Advanced Materials, Wiley-VCH Verlag, 2021, pp.2008082. ⟨10.1002/adma.202008082⟩. ⟨hal-03261221⟩

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