This study presents an investigation into the elastic wave propagation of graphene origami (GO)-enabled auxetic metamaterial plates, using a quasi-three-dimensional (3D) model for the first time. It introduces an eight-parameter quasi-3D theory for the governing equations of motion of the metamaterial plates, including axial, transverse, rotational, and stretching motions through variational algebra. Material properties such as Poisson's ratio, mass density, and Young's modulus are changed along the z-axis and estimated using genetic programming-assisted micromechanics models from the literature. Initial numerical validation is performed by comparison with a simplified model. The study further explores the effects of GO content and its thickness-direction pattern, and GO folding degree on the wave frequency, phase velocity, and the group velocity. The findings indicate that, in general, the GO-enabled metamaterial plate exhibits a higher wave frequency compared to conventional metallic structures.

中文翻译：

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准 3D 石墨烯折纸增光超材料板的波传播特性


本研究首次使用准三维 （3D） 模型对石墨烯折纸 （GO） 支持的 auxetic 超材料板的弹性波传播进行了调查。它引入了一个八参数准三维理论，用于超材料板的运动控制方程，包括通过变分代数的轴向、横向、旋转和拉伸运动。泊松比、质量密度和杨氏模量等材料属性沿 z 轴发生变化，并使用文献中的遗传编程辅助微力学模型进行估计。通过与简化模型进行比较来执行初始数值验证。本研究进一步探讨了 GO 含量及其厚度-方向模式和 GO 折叠程度对波频率、相位速度和群速的影响。研究结果表明，一般来说，与传统金属结构相比，支持 GO 的超材料板表现出更高的波频率。