A novel origami metamaterial with programmable multi-directional auxeticity is proposed by hybridizing the concept of re-entrant honeycomb with the Miura pattern. Normal Miura-based origami metamaterials have been widely shown to exhibit negative in-plane Poisson's ratio. However, negative out-of-plane Poisson's ratio cannot be realized in these set of materials, essentially limiting their capability for prospective applications in many multi-functional devices and systems. Here we propose a hybrid Miura-based metamaterial that can show both in-plane and out-of-plane negative Poisson's ratios. More interestingly, we are able to program the Poisson's ratios to have mild to extreme auxeticity and map their mutual interaction as a function of the microstructural configuration. Besides the single-layer meta-sheets, we have shown that a class of multi-layer stacked metamaterial with uniform and graded configurations can be developed to achieve multi-objective functional goals. Theoretical and experimental analyses are combined in this paper to demonstrate the concepts of modulating multi-directional Poisson's ratios. The fundamental mechanics of the proposed origami based metamaterial being scale-independent, this novel class of deployable hybrid materials can be directly transferred for application in a range of milli-, micro-, and nanometer-size systems, essentially opening avenues for the design of energy absorbers, sensors, actuators, medical stents, catalysis, drug delivery systems, adaptive wings for next-generation of aircrafts and other deployable mechanical and electronic systems at multiple length-scales.

通过将可折弯蜂窝的概念与Miura图案相结合，提出了一种具有可编程多向膨胀性的新型折纸超材料。正常的基于Miura的折纸超材料已被证明具有负的面内泊松比。但是，在这些材料集中无法实现负面外泊松比，从而从根本上限制了它们在许多多功能设备和系统中预期应用的能力。在这里，我们提出了一种基于Miura的混合超材料，它可以显示面内和面外负泊松比。更有趣的是，我们能够对泊松比进行编程，使其具有轻度至极端的膨胀性，并根据微结构的构图绘制它们的相互作用。除了单层元工作表之外，我们已经表明，可以开发出一类具有均匀且渐变配置的多层堆叠超材料，以实现多目标功能目标。本文将理论分析和实验分析相结合，以说明调节多方向泊松比的概念。所提出的基于折纸的超材料的基本力学是与尺寸无关的，这种新型的可部署混合材料可以直接转移以用于各种毫米，微米和纳米尺寸的系统中，从而为纳米管的设计开辟了道路。能量吸收器，传感器，执行器，医疗支架，催化，药物输送系统，适用于下一代飞机的自适应机翼以及其他可在多个长度范围内使用的可部署机械和电子系统。