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Rotating squares auxetic metamaterials with improved strain tolerance

Andrea Sorrentino, Davide Castagnetti, Luke Mizzi, Andrea Spaggiari

2021Smart Materials and Structures37 citationsDOIOpen Access PDF

Abstract

Abstract Rotating squares auxetic metamaterials have the peculiar feature of a negative Poisson’s ratio. This work proposes and examines how an innovative variable arcs fillet solution, at the interconnection regions between the rotating units, improves the structural response of a titanium alloy-based rotating squares metamaterial. Through a 2D finite element (FE) model of the auxetic structure, we investigated and optimized two fillet configurations: first, a double circular arcs profile; second, a combined elliptical and circular arc fillet. According to the FE results, the optimal configuration of the combined elliptical and circular arc fillet allows an overall 3% elastic strain of the metamaterial, with a Poisson’s ratio (PR) equal to ca. −1. In order to assess the deformation behavior of the proposed metamaterial, we performed a tensile test on a prototype of the optimal solution, 3D printed in Onyx material. The experimental displacement field of the specimen, measured through digital image correlation, exhibited excellent agreement with the FE predictions, with a PR equal to ca . − 1 up to a 3% overall strain.

Topics & Concepts

AuxeticsFillet (mechanics)MetamaterialMaterials sciencePoisson's ratioFinite element methodDigital image correlationComposite materialGeometryStructural engineeringPoisson distributionMathematicsOptoelectronicsEngineeringStatisticsCellular and Composite StructuresAdvanced Materials and MechanicsAutomotive and Human Injury Biomechanics