Abstract Origami-inspired metamaterials are receiving increasing attention because they can provide unusual and favorable mechanical properties that are determined by their unique patterned geometry. In this paper, a novel design based on Miura-ori pattern, with varying geometries throughout its volume, is proposed and analyzed under quasi-static compression. Both experiments and numerical simulations indicate that the new design, both two-dimensional graded (2DG) and three-dimensional graded (3DG), can generate periodically graded stiffness as well as superior energy absorption. The sensitivity of the graded behavior to various parameters of the problem is studied. It appears that both in-plane and out-of-plane graded stiffness can be accomplished with an appropriate introduction of the geometric gradients. As to the coupling effect, when the 3DG model is compressed in the z-direction, the existence of the x-directional gradient tends to reduce the stress level and specific energy absorption (SEA), whereas when compressed in the x-direction, the opposite trend is observed regarding the z-directional gradient. Comparing with the conventional design, the proposed design can achieve an increase of 129.68% in SEA in the optimal case. In general, the proposed origami metamaterial, whose behavior can be customized and programmed, shows great potential in engineering applications where a non-uniform response is needed.

中文翻译：

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受准静态压缩的功能梯度折纸结构的行为

摘要 受折纸启发的超材料正受到越来越多的关注，因为它们可以提供由其独特的图案几何形状决定的不寻常且有利的机械性能。在本文中，提出并在准静态压缩下分析了一种基于 Miura-ori 图案的新颖设计，在整个体积中具有不同的几何形状。实验和数值模拟都表明，二维梯度 (2DG) 和三维梯度 (3DG) 的新设计可以产生周期性梯度刚度以及卓越的能量吸收。研究了分级行为对问题的各种参数的敏感性。似乎平面内和平面外梯度刚度都可以通过适当引入几何梯度来实现。至于耦合效应，当 3DG 模型在 z 方向压缩时，x 方向梯度的存在往往会降低应力水平和比能量吸收 (SEA)，而在 x 方向压缩时，观察到相反的趋势z 方向梯度。与常规设计相比，所提出的设计在最优情况下可实现 SEA 提高 129.68%。一般来说，所提出的折纸超材料，其行为可以定制和编程，在需要非均匀响应的工程应用中显示出巨大的潜力。与常规设计相比，所提出的设计在最优情况下可实现 SEA 提高 129.68%。一般来说，所提出的折纸超材料，其行为可以定制和编程，在需要非均匀响应的工程应用中显示出巨大的潜力。与常规设计相比，所提出的设计在最优情况下可实现 SEA 提高 129.68%。一般来说，所提出的折纸超材料，其行为可以定制和编程，在需要非均匀响应的工程应用中显示出巨大的潜力。