Mechanical properties and failure modes of additively-manufactured chiral metamaterials based on Euclidean tessellations: an experimental and finite element study

L. Mizzi, Arrigo Simonetti, Andrea Spaggiari
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Abstract

Purpose The “chiralisation” of Euclidean polygonal tessellations is a novel, recent method which has been used to design new auxetic metamaterials with complex topologies and improved geometric versatility over traditional chiral honeycombs. This paper aims to design and manufacture chiral honeycombs representative of four distinct classes of 2D Euclidean tessellations with hexagonal rotational symmetry using fused-deposition additive manufacturing and experimentally analysed the mechanical properties and failure modes of these metamaterials. Design/methodology/approach Finite Element simulations were also used to study the high-strain compressive performance of these systems under both periodic boundary conditions and realistic, finite conditions. Experimental uniaxial compressive loading tests were applied to additively manufactured prototypes and digital image correlation was used to measure the Poisson’s ratio and analyse the deformation behaviour of these systems. Findings The results obtained demonstrate that these systems have the ability to exhibit a wide range of Poisson’s ratios (positive, quasi-zero and negative values) and stiffnesses as well as unusual failure modes characterised by a sequential layer-by-layer collapse of specific, non-adjacent ligaments. These findings provide useful insights on the mechanical properties and deformation behaviours of this new class of metamaterials and indicate that these chiral honeycombs could potentially possess anomalous characteristics which are not commonly found in traditional chiral metamaterials based on regular monohedral tilings. Originality/value To the best of the authors’ knowledge, the authors have analysed for the first time the high strain behaviour and failure modes of chiral metamaterials based on Euclidean multi-polygonal tessellations.
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基于欧几里得方格的手性超材料的机械特性和失效模式:实验和有限元研究
目的 欧几里得多边形的 "手性化 "是一种最新的新方法,已被用于设计新型辅助超材料,与传统的手性蜂窝相比,它具有复杂的拓扑结构和更好的几何通用性。本文旨在利用熔融沉积增材制造技术设计和制造具有六边形旋转对称性的四种不同类型的二维欧几里得棋盘格手性蜂窝,并通过实验分析这些超材料的机械性能和失效模式。研究结果表明,这些系统能够表现出多种泊松比(正值、准零值和负值)和刚度,以及以特定非相邻韧带的逐层连续塌陷为特征的不寻常破坏模式。这些发现为了解这种新型超材料的机械特性和变形行为提供了有益的启示,并表明这些手性蜂窝可能具有传统的基于规则单面方格网的手性超材料所不具备的异常特性。
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