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Designing hierarchical metamaterials by topology analysis with tailored Poisson's ratio and Young's modulus

机译：通过拓扑分析设计泊松比和杨氏模量的分层超材料

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In this work, we present an innovative three-dimensional (3D) hierarchical design strategy to systematically summarize the configuration characteristics of existing cellular structures and propose a novel class of mechanical metamaterials based on topology analysis, which have tailored Poisson's ratio and Young's modulus. Theoretical, numerical and experimental analyses were conducted to reveal the basic mechanical properties of the metamaterials. And these results agree very well which validate the correctness of the theories. Samples of the proposed structures made of Nylon were fabricated through 3D printing technology to carry out compression tests and finite element analysis (FEA) were performed to give an insight into the mechanical response. Experimental and numerical results revealed that the proposed 3D second-order hierarchical metamaterials can achieve a series of special combinations of Poisson's ratio in three perpendicular directions. The sign and magnitude of Poisson's ratio can be tailored by appropriately adjusting the first and second order configurations and their geometrical parameters. Meanwhile, systemic analysis and comparison reveal that relative Young's modulus is contingent on deformation pattern, i.e., axial-deformation dominated stiffness is much higher than bending-dominated stiffness. Similar to Poisson's ratio, the magnitude of Young's modulus can be tailored by geometrical parameters and first and second order configurations in a relative large range in the case of given Poisson's ratio (sign and magnitude). This work can provide useful reference for the design, fabrication and analysis of 3D metamaterials with novel properties and functions, particularly with auxetic behavior, which are promising in some technical applications.
机译：在这项工作中，我们提出了一种创新的三维（3D）分层设计策略，以系统地总结现有细胞结构的构造特征，并基于拓扑分析提出了一类新颖的机械超材料，该材料可以调整泊松比和杨氏模量。进行了理论，数值和实验分析，揭示了超材料的基本力学性能。这些结果非常吻合，验证了理论的正确性。通过3D打印技术制造了由尼龙制成的拟议结构的样品，以进行压缩测试，并进行了有限元分析（FEA），以深入了解机械响应。实验和数值结果表明，提出的3D二阶分层超材料可以在三个垂直方向上实现一系列泊松比的特殊组合。泊松比的符号和大小可以通过适当调整一阶和二阶结构及其几何参数来调整。同时，系统分析和比较表明，相对杨氏模量取决于变形模式，即轴向变形支配的刚度远高于弯曲支配的刚度。与泊松比类似，在给定泊松比（符号和幅度）的情况下，可以通过几何参数以及一阶和二阶配置在相对较大的范围内调整杨氏模量的大小。这项工作可以为设计，制造和分析具有新颖特性和功能（尤其是具有拉长性行为）的3D超材料提供有用的参考，这在某些技术应用中很有希望。

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